Title : ( Solving a System of Nonlinear Fractional Partial Di?erential Equations Using the Sinc-Muntz Collocation Method )
Authors: Mahmood Shareef Ajeel , Mortaza Gachpazan , Ali Reza Soheili ,
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Abstract
We present a new numerical method for solving a system of nonlinear fractional partial differential equations (SNFPDEs). This technique is based on the Sinc functions and the fractional Muntz-Legendre polynomials together with the collocation method. The proposed approximation reduces the solution of the SNFPDEs to the solution of a system of nonlinear algebraic equations. In some numerical examples, we show that approximate solutions also agree with exact solutions.
Keywords
, Sinc functions; fractional Muntz, Legendre polynomials; fractional partial differential equations; collocation method; Caputo fractional derivative.
@article{paperid:1082325,
author = {Ajeel, Mahmood Shareef and Gachpazan, Mortaza and Soheili, Ali Reza},
title = {Solving a System of Nonlinear Fractional Partial Di?erential Equations Using the Sinc-Muntz Collocation Method},
journal = {Nonlinear Dynamics and Systems Theory},
year = {2020},
volume = {20},
number = {2},
month = {July},
issn = {1562-8353},
pages = {119--131},
numpages = {12},
keywords = {Sinc functions; fractional Muntz-Legendre polynomials; fractional partial differential equations; collocation method; Caputo fractional derivative.},
}
%0 Journal Article
%T Solving a System of Nonlinear Fractional Partial Di?erential Equations Using the Sinc-Muntz Collocation Method
%A Ajeel, Mahmood Shareef
%A Gachpazan, Mortaza
%A Soheili, Ali Reza
%J Nonlinear Dynamics and Systems Theory
%@ 1562-8353
%D 2020
