eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2009-01-01
6
1
1
15
515386
مقاله های تحقیقی
Constuction of solitary solutions for nonlinear differential-difference equations via Adomain decomposition method
Constuction of solitary solutions for nonlinear
differential-difference equations via Adomain
decomposition method
M. A. Abdou
m_abdou eg@yahoo.com
1
Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt.
Here, Adomian decomposition method has been used for finding approximateand numerical solutions of nonlinear differential difference equations arising inmathematical physics. Two models of special interest in physics, namely, theHybrid nonlinear differential difference equation and Relativistic Toda couplednonlinear differential-difference equation are chosen to illustrate the validity andthe great potential of the proposed method. Comparisons are made between theresults of the proposed method and exact solutions. The results show that theAdomian Decomposition Method is an attractive method in solving the nonlineardifferential difference equations. It is worthwhile to mention that theAdomian decomposition method is also easy to be applied to other nonlineardifferential difference equation arising in physics.
Here, Adomian decomposition method has been used for finding approximateand numerical solutions of nonlinear differential difference equations arising inmathematical physics. Two models of special interest in physics, namely, theHybrid nonlinear differential difference equation and Relativistic Toda couplednonlinear differential-difference equation are chosen to illustrate the validity andthe great potential of the proposed method. Comparisons are made between theresults of the proposed method and exact solutions. The results show that theAdomian Decomposition Method is an attractive method in solving the nonlineardifferential difference equations. It is worthwhile to mention that theAdomian decomposition method is also easy to be applied to other nonlineardifferential difference equation arising in physics.
http://msj.iau-arak.ac.ir/article_515386_2bcdde3da2d659bf0e320c8b293b9ccf.pdf
Hybrid nonlinear difference equation
Relativistic Toda coupled nonlinear
difference equation
Adomian decomposition method