Title : ( Sinc–Muntz–Legendre Collocation Method for Solving a Class of Nonlinear Fractional Partial Differential Equations )
Authors: Mahmood Shareef Ajeel , Mortaza Gachpazan , Ali Reza Soheili ,
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Abstract
In this paper, we present a numerical method for solving a class of nonlinear fractional partial differential equations (FPDEs). The method consists of expanding the required approximate solution as the elements of Sinc functions along the space direction and fractional Muntz–Legendre polynomials for the time variable. By using these functions, we approximate the unknown functions. The proposed approximation together with collocation method reduce the solution of the FPDEs to the solution of a system of nonlinear algebraic equations. Finally, some numerical examples show the validity and accuracy of the present method.
Keywords
, sinc functions, fractional Muntz–Legendre polynomials, fractional partial differential equations (FPDEs), collocation method, Caputo fractional derivative
@article{paperid:1088353,
author = {Ajeel, Mahmood Shareef and Gachpazan, Mortaza and Soheili, Ali Reza},
title = {Sinc–Muntz–Legendre Collocation Method for Solving a Class of Nonlinear Fractional Partial Differential Equations},
journal = {Computational Mathematics and Mathematical Physics},
year = {2021},
volume = {61},
number = {12},
month = {December},
issn = {0965-5425},
pages = {2024--2033},
numpages = {9},
keywords = {sinc functions; fractional Muntz–Legendre polynomials; fractional partial differential equations (FPDEs); collocation method; Caputo fractional derivative},
}
%0 Journal Article
%T Sinc–Muntz–Legendre Collocation Method for Solving a Class of Nonlinear Fractional Partial Differential Equations
%A Ajeel, Mahmood Shareef
%A Gachpazan, Mortaza
%A Soheili, Ali Reza
%J Computational Mathematics and Mathematical Physics
%@ 0965-5425
%D 2021
