Title : ( COMBINING RADIAL BASIS FUNCTIONS AND BERNSTEIN POLYNOMIALS TO SOLVE LINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS )
Authors: Kamel Jalood Kzar Altameemi , Ali Abdul Sattar Alsaagh , Ali Reza Soheili ,
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Abstract
In this paper, we use the radial basis functions (RBF) and Bernstein polynomials to solve the linear fractional partial differential equations (FPDEs). First, we combine the RBF and the Bernstein polynomials to obtain the radial basis functions based on Bernstein polynomials with two variables. Then, we approximate the functions in the FPDEs by discretizing the Caputo fractional derivative. Therefore, the fractional partial differential equations convert into a linear system of algebraic equations. Finally, some numerical examples are presented to illustrate the efficiency and accuracy of our method.
Keywords
Fractional partial differential equations; Radial basis functions; Bernstein polynomials; Numerical method
@article{paperid:1102577,
author = {Altameemi, Kamel Jalood Kzar and Alsaagh, Ali Abdul Sattar and Soheili, Ali Reza},
title = {COMBINING RADIAL BASIS FUNCTIONS AND BERNSTEIN POLYNOMIALS TO SOLVE LINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS},
journal = {Journal of Mathematical Sciences},
year = {2025},
month = {March},
issn = {1072-3374},
keywords = {Fractional partial differential equations; Radial basis functions; Bernstein polynomials; Numerical method},
}
%0 Journal Article
%T COMBINING RADIAL BASIS FUNCTIONS AND BERNSTEIN POLYNOMIALS TO SOLVE LINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
%A Altameemi, Kamel Jalood Kzar
%A Alsaagh, Ali Abdul Sattar
%A Soheili, Ali Reza
%J Journal of Mathematical Sciences
%@ 1072-3374
%D 2025
