Theory of Approximation and ApplicationsTheory of Approximation and Applications
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Feed provided by Theory of Approximation and Applications. Click to visit.Application of semi-analytic method to compute the moments for solution of logistic model
http://msj.iau-arak.ac.ir/article_666926_1134842.html
The population growth, is increase in the number of individuals in population and it depends on some random environment eﬀects. There are several diﬀerent mathematical models for population growth. These models are suitable tool to predict future population growth. One of these models is logistic model. In this paper, by using Feynman-Kac formula, the Adomian decomposition method is applied to compute the moments for the solution of logistic stochastic diﬀerential equation.Sat, 30 Nov 2019 20:30:00 +0100Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings
http://msj.iau-arak.ac.ir/article_670251_1134842.html
In this paper, based on viscosity technique with perturbation, we introduce a new non-linear viscosity algorithm for finding a element of the set of fixed points of nonexpansivemulti-valued mappings in a Hilbert space. We derive a strong convergence theorem for thisnew algorithm under appropriate assumptions. Moreover, in support of our results, somenumerical examples (using Matlab software) are also presented.Mon, 30 Nov 2020 20:30:00 +0100An approximate method for solving fractional system differential equations
http://msj.iau-arak.ac.ir/article_671125_1134842.html
IIn this research work, we have shown that it is possible to use fuzzy transform method (FTM) for the estimate solution of fractional system differential equations (FSDEs). In numerical methods, in order to estimate a function on a particular interval, only a restricted number of points are employed. However, what makes the F-transform preferable to other methods is that it makes use of all points in this interval. A number of clear and specific examples have been enumerated for the purpose of illustrating the simplicity and efficiency of the suggested method.Mon, 30 Nov 2020 20:30:00 +0100Neutrosophic-Cubic Analaytic Hierarchy Process with Applications
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In this paper we extend fuzzy analytic hierarchy process into neutrosophic cubic environment. The neutrosophic cubic analytic hierarchy process can be used to manage more complex problems when the decision makers has a number of uncertainty, assigning preferences values to the considered object. We also define the concept of triangular neutrosophic cubic numbers and their operations laws. The advantages of the proposed methodology and the application of neutrosophic cubic analytic hierarchy process in decision making are shown by testing the numerical example in practical life.Mon, 30 Nov 2020 20:30:00 +0100REMOTAL CENTERS AND CHEBYSHEV CENITERS IN NORMED SPACES
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In this paper, we consider Nearest points" and Farthestpoints" in normed linear spaces. For normed space (X; ∥:∥), the set W subset X,we dene Pg; Fg;Rg where g 2 W. We obtion results about on Pg; Fg;Rg. Wend new results on Chebyshev centers in normed spaces. In nally we deneremotal center in normed spaces.Mon, 30 Nov 2020 20:30:00 +0100A new method for solving two-dimensional fuzzy Fredholm integral equations of the second kind
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In this work, we introduce a novel method for solving two-dimensional fuzzy Fredholm integral equations of the second kind (2D-FFIE-2). We use new representation of parametric form of fuzzy numbers and convert a two-dimensional fuzzy Fredholm integral equation to system of two-dimensional Fredholm integral equations of the second kind in crisp case. We can use Adomian decomposition method for nding the approximation solution of the each equation, hence obtain an approximation for fuzzy solution of 2D-FFIE-2. We prove the convergence of the method and nally apply the method to some examplesMon, 30 Nov 2020 20:30:00 +0100Using finite difference method for solving linear two-point fuzzy boundary value problems based ...
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In this paper an efficient Algorithm based on Zadeh's extension principle has been investigated to approximate fuzzy solution of two-point fuzzy boundary value problems, with fuzzy boundary values. We use finite difference method in term of the upper bound and lower bound of $r$- level of fuzzy boundary values. The proposed approach gives a linear system with crisp tridiagonal coefficients matrix. This linear system determines $r$-level of fuzzy solution at mesh points. By combining of this solutions, we obtain fuzzy solution of main problem at mesh points, approximately. Its applicabilityis illustrated by someexamplesMon, 30 Nov 2020 20:30:00 +0100An extension of stochastic differential models by using the Grunwald-Letnikov fractional derivative
http://msj.iau-arak.ac.ir/article_673613_1134842.html
Stochastic differential equations (SDEs) have been applied by engineers and economists because it can express the behavior of stochastic processes in compact expressions. In this paper, by using Grunwald-Letnikov fractional derivative, the stochastic differential model is improved. Two numerical examples are presented to show efficiency of the proposed model. A numerical optimization approach based on least square approximation is applied to determine the order of the fractional derivative. Numerical examples show that the proposed model works better than the SDE to model stochastic processes with memory.Mon, 30 Nov 2020 20:30:00 +0100