2013
10
1
1
120
On the modification of the preconditioned AOR iterative method for linear system
On the modification of the preconditioned AOR iterative method for linear system
2
2
In this paper, we will present a modification of the preconditioned AOR-type method for solving the linear system. A theorem is given to show the convergence rate of modification of the preconditioned AOR methods that can be enlarged than the convergence AOR method.
1
In this paper, we will present a modification of the preconditioned AOR-type method for solving the linear system. A theorem is given to show the convergence rate of modification of the preconditioned AOR methods that can be enlarged than the convergence AOR method.
1
12
H.
Almasieh
H.
Almasieh
دانشگاه آزاد اصفهان. خوراسگان
دانشگاه آزاد اصفهان. خوراسگان
Iran
halmasieh@yahoo.co.uk; h.almasieh@khuisf.ac.ir
S.
Gholami
S
Gholami
دانشگاه آزاد خوراسگان
دانشگاه آزاد خوراسگان
Iran
[[1] A. Berman, R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Academic##Press, New York, 1979.##[2] A. D. Gunawardena, S. K. Jain, L. Snyder, Modified iterative methods for consistent linear##systems, Lin. Alg. Appl. 154-156 (1991) 123-143.##[3] A. Hadjidimos, Accelerated overrelaxation method, Appl. Math. Comput. 32 (1978) 149–##[4] T. Kohno, H. Kotakemori, Improving the modified Gauss-Seidel method for Z-matrices,##Lin. Alg. Appl. 267 (1997) 113-123.##[5] H. Kotakemori, H. Niki, N. Okamoto, Accelerated iterative method for Z-matrices, J.##Comput. App. Math. 75 (1996) 87-97.##[6] J. Li, T. Z. Huang, Preconditioned Methods of Z-matrices, Acta. Math. Sci. 25 (2005) 5-10.##[7] W. Li, W. W. Sun, Modified Gauss-Seidel type methods and Jacobi type methods for Z-##matrices, Lin. Alg. Appl. 317 (200) 227-240.##[8] Y. Z. Song, Comparisons of nonnegative splittings of matrices, Lin. Alg. Appl. 154-156##(1991) 433-455.##[9] Y. Z. Song, Comparison theorems for splittings of matrices, Num. Math. 92 (2002) 563-##[10] R. S.Varga, Matrix iterative analysis, prentice-hall, Englewood Cliffs, NJ, 1962; Springer##series in computational mathematics, 27, Speringer-Verlag, Berlin,2000.##[11] G. Wang, N. Zhang, F. Tan, A new preconditioned AOR method for Z-matrices, Wor.##Aca. Sci. Engin. Tech. 67 ( 2010) 572-574. ##[12] M. Wu, L.Wang, Y.Song, Preconditioned AOR iterative method for linear systems, Appl.##Num. Math. 57 (2007) 672-685.##[13] D. M. Young, Iterative solution of large linear systems, Academic Press,##New York, 1971.##[14] Y. Zhang, T. Z. Huang, X. Liu, Gauss type preconditioning techniques for linear system,##Appl. Math. Comput. 188 (2007) 612-633.##]
(Fixed Point Type Theorem In S-Metric Spaces (II
Fixed Point Type Theorem In S-Metric Spaces (II)
2
2
In this paper, we prove some common fixed point results for two self mappingsf and g on S-metric space such that f is a g.w.c.m with respect to g.
1
In this paper, we prove some common fixed point results for two self mappingsf and g on S-metric space such that f is a g.w.c.m with respect to g.
57
68
Javad
Mojaradi Afra
جواد
مجردی افرا
آر آی
آر آی
Iran
Interpolation of the tabular functions with fuzzy input and fuzzy output
Interpolation of the tabular functions with
fuzzy input and fuzzy output
2
2
In this paper, rst a design is proposed for representing fuzzy polynomials withinput fuzzy and output fuzzy. Then, we sketch a constructive proof for existenceof such polynomial which can be fuzzy interpolation polynomial in a set given ofdiscrete points rather than a fuzzy function. Finally, to illustrate some numericalexamples are solved.
1
In this paper, rst a design is proposed for representing fuzzy polynomials withinput fuzzy and output fuzzy. Then, we sketch a constructive proof for existenceof such polynomial which can be fuzzy interpolation polynomial in a set given ofdiscrete points rather than a fuzzy function. Finally, to illustrate some numericalexamples are solved.
13
26
Mehran
Chehlabi
مهران
چهلابی
دانشگاه آزاد سواد کوه یزد
دانشگاه آزاد سواد کوه یزد
Iran
chehlabi@yahoo.com
[[1] L. A. Zadeh, Fuzzy sets, Inform. Control (8), (1965), 338-353.##[2] R. Lowen, A Fuzzy Lagrange interpolation theorem, Fuzzy Sets Syst. 34##(1990) 33-34.##[3] O. Kaleva, Interpolation of fuzzy data, Fuzzy Sets and Syst. 61 (1994)##[4] S. Abbasbandy, E. Rabolian, Interpolation of fuzzy data by natural##splines, J. Appl. Math. Comput. 5 (1998) 457-463.##[5] S. Abbasbandy, Interpolation of fuzzy data by complete splines, J. Appl.##Math. Comput. 8 (2001) 587-594.##[6] S. Abbasbandy, M. Amirfakhrian, Numerical approximation of fuzzy##functions by fuzzy polynomials, Applied, Mathematics and computation##174 (2006) 1001-1006.##[7] S. Abbasbandy, M. Amirfakhrian, A new approach to universal##appriximation of fuzzy functions on a discrete set of points, Applied##Mathematical Modelling 30 (2006) 1525-1534.##[8] J. Gati, B. Bede, Spline appriximation of fuzzy functions, International##conference on Applied Mathematics, (2005), 194-199.##[9] D. Dubois, H. Prade, Fuzzy sets and Systems:Theory and Application,##Academic Press, New York, 1980.##]
The combined Sinc-Taylor expansion method to solve Abel's integral equation
The combined Sinc-Taylor expansion method to solve Abel's integral equation
2
2
In this paper , numerical solotion of Abel's integral equationby using the Taylor expanssion of the unknown functionvia collection method based on Sinc is considered...
1
In this paper , numerical solotion of Abel's integral equationby using the Taylor expanssion of the unknown functionvia collection method based on Sinc is considered...
27
39
M. A.
Fariborzi Araghi
م
فریبرزی عراقی
دانشگاه آزاد واحد تهران مرکز
دانشگاه آزاد واحد تهران مرکز
Iran
Gh.
Kazemi Gelian
ق
کاظمی گلیان
دانشگاه آزاد واحد شیراز
دانشگاه آزاد واحد شیراز
Iran
kazemigelian@yahoo.com
A new non-parametric approach for suppliers selection
A new non-parametric approach for
suppliers selection
2
2
In this paper we propose a simple non-parametric model for multiple crite-ria supplier selection problem. The proposed model does not generate a zeroweight for a certain criterion and ranks the suppliers without solving the modeln times (one linear programming (LP) for each supplier) and therefore allowsthe manager to get faster results. The methodology is illustrated using anexample.
1
In this paper we propose a simple non-parametric model for multiple crite-ria supplier selection problem. The proposed model does not generate a zeroweight for a certain criterion and ranks the suppliers without solving the modeln times (one linear programming (LP) for each supplier) and therefore allowsthe manager to get faster results. The methodology is illustrated using anexample.
41
55
A.
Hadi-Vencheh
A.
Hadi-Vencheh
Islamic Azad University, Khorasgan Branch, Isfahan, Iran.
Islamic Azad University, Khorasgan Branch,
Iran
ahadi@khuisf.ac.ir
M.
Niazi-Motlagh
M.
Niazi-Motlagh
Islamic Azad University, Khorasgan Branch, Isfahan, Iran.
Islamic Azad University, Khorasgan Branch,
Iran
[[1] C. Araz and I. Ozkarahan, Supplier evaluation and management system##for strategic sourcing based on a new multicriteria sorting procedure,##International Journal of Production Economics, 106 (2007), 585{606.##[2] A. F. Gunery, A. Yucel and G. Ayyildiz, An integrated fuzzy-LP approach##for a supplier selection problem in supply chain management, Expert##System with Applications, 36 (2008), 9223{9228.##[3] F. Liu, F. Y. Ding and V. Lall , Using data envelpment analysis to##compare suppliers for supplier selection and performance improvement,##Supply Chain Management, 5 (2000), 143{150.##[4] A. Mandal and S. G. Deshmukh, Vendor selection using interpretive##structural modelling (ISM), International Journal of Operations and##Production Management, 14 (1994), 52{59.##[5] W. L. Ng, An ecient and simple model for multiple criteria supplier##selection problem, European Journal of Operational Research, 186 (2008),##1059{1067.##[6] J. Seydel, Supporting the paradigm shift in vendor selection: Multicriteria##methods for sole sourcing, Managerial Finance, 31 (2005), 49{64.##[7] R. J. Vokurka, J. Choobineh and L. Vadi, A prototype expert system for##the evaluation and selection of potential suppliers, International Journal##of Operations and Production Management, 16 (1996), 106-127.##[8] C. A. Weber, A data envelopment analysis approach to measuring vendor##performance, Supply Chain Management, 1 (1996), 28{39. ##[9] C. A. Weber, J. R. Current and A. Desai, Non-cooperative negotiation##strategies for vendor selection, European Journal of Operational Research,##108 (1998), 208{223.##[10] C. A. Weber, J. R. Current and A. Desai, An optimization approach to##determining the number of vendors to employ, Supply Chain Management,##5 (2000), 90{98.##[11] D. J. Zhang, K. Zhang, K. Lai and Y. Lu, An novel approach to##supplier selection based on vague sets group decision, Expert System with##Applications, 36 (2009), 9557{9563.##]
New Integral Transform for Solving Nonlinear Partial Dierential Equations of fractional order
New Integral Transform for Solving
Nonlinear Partial Dierential Equations of
fractional order
2
2
In this work, we have applied Elzaki transform and He's homotopy perturbation method to solvepartial dierential equation (PDEs) with time-fractional derivative. With help He's homotopy per-turbation, we can handle the nonlinear terms. Further, we have applied this suggested He's homotopyperturbation method in order to reformulate initial value problem. Some illustrative examples aregiven in order to show the ability and simplicity of the approach. All numerical calculations in thismanuscript were performed on a PC applying some programs written in Maple.
1
In this work, we have applied Elzaki transform and He's homotopy perturbation method to solvepartial dierential equation (PDEs) with time-fractional derivative. With help He's homotopy per-turbation, we can handle the nonlinear terms. Further, we have applied this suggested He's homotopyperturbation method in order to reformulate initial value problem. Some illustrative examples aregiven in order to show the ability and simplicity of the approach. All numerical calculations in thismanuscript were performed on a PC applying some programs written in Maple.
69
86
A.
Neamaty
A.
Neamaty
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Department of Mathematics, University of
Iran
namaty@umz.ac.ir
B.
Agheli
B.
Agheli
Department of Mathematics, Qaemshahr Branch, Islamic Azad University,
Qaemshahr, Iran
Department of Mathematics, Qaemshahr Branch,
Iran
R.
Darzi
R.
Darzi
Department of Mathematics, Neka Branch, Islamic Azad University, Neka,
Iran
Department of Mathematics, Neka Branch, Islamic
Iran
[[1] J.H. He, Homotopy perturbation technique, Computer Methods in Applied##Mechanics and Engineering, 178 (3-4) (1999), pp. 257{262.##[2] E. Babolian, A. Azizi, J. Saeidian , Some notes on using the homotopy##perturbation method for solving time-dependent dierential equations,##Mathematical and Computer Modelling, 50 ( 2009), pp. 213{224.##[3] S. Abbasbandy, Iterated He's homotopy perturbation method for quadratic##Riccati dierential equation, Journal of Computational and Applied##Mathematics, 175 (2006), pp. 581{589.##[4] Z. Odibat, Shaher Momani, The variational iteration method: an ecient##scheme for handling fractional partial dierential equations in uid##mechanics, Computers and Mathematics with Applications, 58 (2009),##pp. 2199{2208.##[5] G.M. Mophou, Existence and uniqueness of mild solutions to impulsive##fractional dierential equations, Nonlinear Analysis: Theory, Methods and##Applications, 72 (2010), pp. 1604{1615.##[6] F. Huang, F. Liu, The time fractional diusion and fractional advection-##dispersion equation, ANZIAM, 46 (2005), pp. 1{14.##[7] D. Taka^ci, A. Taka^ci, M.^Strboja, On the character of operational solutions##of the time-fractional diusion equation, Nonlinear Analysis: Theory,##Methods and Applications, 72 (2010), pp. 2367{2374. ##[8] C. Xue, J. Nie, W. Tan, An exact solution of start-up ow for the fractional##generalized Burgers' uid in a porous half-space, Nonlinear Analysis:##Theory, Methods and Applications, 69 (2008), pp. 2086{2094.##[9] S. Guo, L. Mei, Y. Fang, Z. Qiu, Compacton and solitary pattern solutions##for nonlinear dispersive KdV-type equations involving Jumarie's fractional##derivative, Physics Letters A, 376 (2012), pp. 158{164.##[10] S. Guo, L. Mei, Y. Ling, Y. Sun, The improved fractional sub-equation##method and its applications to the space-time fractional dierential equations##in uid mechanics, Physics Letters A, 376 (2012), pp. 407{411.##[11] Y. Liu, Variational homotopy perturbation method for solving fractional##initial boundary value problems, Abstract and Applied Analysis, 2012##(2012), http://dx.doi.org/10.1155/2012/727031.##[12] T. M. Elzaki and S. M. Elzaki, Application of New Transform "Elzaki##Transform" to Partial Dierential Equations, Global Journal of Pure and##Applied Mathematics, 1 (2011), pp. 65{70.##[13] J. Zhang, A Sumudu based algorithm for solving dierential equations,##Computational Science Journal Moldova, 15(3), pp. 303 { 313.##[14] H. Eltayeb and A. kilicman, A Note on the Sumudu Transforms and##dierential Equations, Applied Mathematical Sciences, 4 (2010), pp. 1089{##[15] T. Elzaki, S. M. Elzaki, and E. M. A. Hilal, Elzaki and Sumudu Transforms##for Solving Some Dierential Equations, Global Journal of Pure and##Applied Mathematics, 8 (2012), pp. 167{173.##[16] I. Podlubny, Fractional dierential equations, Academic Press, San Diego,##CA, (1999).##[17] Tarig M. Elzaki, Salih M. Elzaki, and Eman M. A. Hilal, Elzaki and##Sumudu Transforms for Solving Some Dierential Equations, Global##Journal of Pure and Applied Mathematics, ISSN 0973-1768, Volume 8,##Number., 2 (2012), pp. 167{173.##[18] Z. Odibat, S. Momani, Numerical methods for nonlinear partial dierential##equations of fractional order, Applied Mathematical Modelling, 32 (2008),##pp. 28{39.##]
Positive Solution for Boundary Value Problem of Fractional Dierential Equation
Positive Solution for Boundary Value
Problem of Fractional Dierential
Equation
2
2
In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.
1
In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.
87
98
H.
Qu
H.
Qu
Department of Mathematics and Information, Hanshan Normal University,
Chaozhou, Guangdong, 521041, P.R. China
Department of Mathematics and Information,
Iran
qhaidong@163.com
[[1] N. Kosmatov, A singular boundary value problem for nonlinear dierential##equations of fractional order, J. Appl. Math. Comput. 29(2009), 125-135.##[2] S. Zhang, Positive solutions for boundary value problem of nonlinear##fractional dierential equations, Electric. J. Di. Equs. 36 (2006),1-12.##[3] A. P. Chen, Y. S. Tian, Existence of Three Positive Solutions to##Three-Point Boundary Value Problem of Nonlinear Fractional Dierential##Equation, Dier. Equ. Dyn. Syst. 18 (2010), 327-339.##[4] A.A. Kilbsa, H. M. Srivastava, J.J. Trujillo. Theory and Applications of##Fractional Dierential Equations, Elsevier, Amsterdam, 2006.##[5] S. Q. Zhang, Existence results of positive solutions to boundary value##problem for fractional dierential equation, ,Positivity 13(2009), 583-599.##[6] S. Zhang, The existence of a positive solution for a nonlinear fractional##dierential equation, J. Math. Anal. Appl. 252 (2000), 804-812.##[7] S. Zhang, Positive solution for some class of nonlinear fractional##dierential equation, J. Math. Anal. Appl. 278 (2003), 136-148.##[8] M. Benchohra, J. Henderson, S.K. Ntouyas, A. Ouahab, Existence results##for fractional order functional dierential equations with innite delay, J.##Math. Anal. Appl. 338 (2008), 1340-1350.##[9] D.J. Guo, L. Lakshmikantham, Nonlinear Problems in Abstract Cones,##Academic Press, New York, 1988.##]
Transversal spaces and common fixed point Theorem
Transversal spaces and common fixed point
Theorem
2
2
In this paper we formulate and prove some xed and common xed pointTheorems for self-mappings dened on complete lower Transversal functionalprobabilistic spaces.
1
In this paper we formulate and prove some xed and common xed pointTheorems for self-mappings dened on complete lower Transversal functionalprobabilistic spaces.
99
108
Sh.
Rezaei
Sh
Rezaei
Department of Mathematic, Islamic Azad University, Aligudarz Branch,
Aligudarz, Lorestan, Iran.
Department of Mathematic, Islamic Azad University,
Iran
sh_rezaei88@yahoo.com
[[1] A. George, P. Veeramani, On some results in Fuzzy metric spaces Fuzzy##sets and systems, 64 (1994), 395-399.##[2] S. N. Jesic, N. A. Babacev, Common xed point on Transversal##probabilistic spaces, Math. Moravica, 6 (2002), , 71-76.##[3] S. N. Jesic, M. R. Taskovic, N. A. Babacev, Transversal spaces and xed##point Theorems, Applicable analysis and discrete Mathematics, 1 (2007),##[4] S. Kutukcu, S. Sharma, H. Tokgoz, A xed point Theorem in Fuzzy metric##spaces, Int. J. Math. Anal, 1 (2007), 861-872.##[5] M. R. Tascovic, Transversal spaces, Math. Moravica, 2 (1998), 133-142.##]
A numerical solution of Nagumo telegraph equation by Adomian decomposition method
A numerical solution of Nagumo telegraph
equation by Adomian decomposition
method
2
2
In this work, the solution of a boundary value problem is discussed via asemi analytical method. The purpose of the present paper is to inspect theapplication of the Adomian decomposition method for solving the Nagumotelegraph equation. The numerical solution is obtained for some special casesso that demonstrate the validity of method.
1
In this work, the solution of a boundary value problem is discussed via asemi analytical method. The purpose of the present paper is to inspect theapplication of the Adomian decomposition method for solving the Nagumotelegraph equation. The numerical solution is obtained for some special casesso that demonstrate the validity of method.
109
120
H.
Rouhparvar
H.
Rouhparvar
Department of Mathematics, Islamic Azad University, Saveh-Branch, Saveh
39187/366, Iran.
Department of Mathematics, Islamic Azad University
Iran
rouhparvar59@gmail.com
[1] T. A. Abassy, Improved Adomian decomposition method, Comput. Math.##Appl. 9 (2010), 42{54.##[2] S. Abbasbandy, Soliton solutions for the Fitzhugh-Nagumo equation with##the homotopy analysis method, Appl. Math. Model., 32 (2008), 2706{2714.##[3] S. Abbasbandy, A Numerical solution of Blasius equation by Adomian's##decomposition method and comparison with homotopy perturbation##method, Chaos, Solitons and Fractals, 31 (2007), 257{260.##[4] S. Abbasbandy, Improving Newton-Raphson method for nonlinear##equations by modied Adomian decomposition method, Appl. Math.##Comput. 145 (2004), 887{893.##[5] S. Abbasbandy, M.T. Darvish, A numerical solution of Burger's equation##by modied Adomian method, Appl. Math. Comput. 163 (2005), 1265{##[6] H.A. Abdusalam, E.S. Fahmy, Cross-diusional eect in a telegraph##reaction diusion Lotka-Volterra two competitive system, Chaos, Solitons##& Fractals, 18 (2003), 259{264.##[7] H. A. Abdusalam, Analytic and approximate solutions for Nagumo##telegraph reaction diusion equation, Appl. Math. Comput. 157 (2004),##[8] G. Adomain, Solving frontier problems of physics: The decomposition##method, Kluwer Academic Publishers, Boston, 1994. ##[9] G. Adomian, Nonlinear stochastic operator equations, Academic Press,##[10] G. Adomian, A review of the decomposition method in applied##mathematics, J. Math. Anal. Appl. 135 (1998), 501{544.##[11] G. Adomian, Y. Charruault, Decomposition method-A new proof of##convergency, Math. Comput. Model. 18 (1993), 103{106.##[12] E. Ahmed, H. A. Abdusalam, E. S. Fahmy, On telegraph reaction diusion##and coupled map lattice in some biological systems, Int. J. Mod. Phys C,##2 (2001), 717{723.##[13] E. Babolian, J. Biazar, Solution of a system of nonlinear Volterra integral##equations by Adomian decomposition method, Far East J. Math. Sci. 2##(2000), 935{945.##[14] E. Babolian, Sh. Javadi, H. Sadeghi, Restarted Adomian method for##integral equations, Appl. Math. Comput. 153 (2004), 353{359.##[15] S. A. El-Wakil, M. A. Abdou, New applications of Adomian decomposition##method, Chaos, Solitons and Fractals 33 (2007), 513{522.##[16] A. C. Metaxas, R. J. Meredith, Industrial microwave, heating, Peter##Peregrinus, London, 1993.##[17] N. Ngarhasts, B. Some, K. Abbaoui, Y. Cherruault, New numerical study##of Adomian method applied to a diusion model, Kybernetes 31 (2002),##[18] W. Liu, E. Van Vleck, Turning points and traveling waves in FitzHugh-##Nagumo type equations, J. Di. Eq. 2 (2006), 381{410.##[19] G. Roussy, J. A. Pearcy, Foundations and industrial applications of##microwaves and radio frequency elds, John Wiley, New York, 1995.##[20] R. A. Van Gorder, K. Vajravelu, A variational formulation of the Nagumo##reaction-diusion equation and the Nagumo telegraph equation, Nonlinear##Analysis: Real World Applications 4 (2010), 2957{2962.##]