Solving Fractional Coupled EW and Coupled MEW Equations Using Bernstein Collocation Method-Reference-Cited by-同舟云学术

Solving Fractional Coupled EW and Coupled MEW Equations Using Bernstein Collocation Method

Published:2021-02-01 Issue:1 Volume:1804 Page:012021
ISSN:1742-6588
Container-title:Journal of Physics: Conference Series
language:
Short-container-title:J. Phys.: Conf. Ser.

Author:

Mohammad Susan H.,Al-Rawi Ekhlass S.

Abstract

Abstract This paper deals with approximation solution for coupled of space-time-fractional of both the equal width wave equation(FCEWE) and the modified equal width wave equation (FCMEWE) using Bernstein polynomials with collocation method and employing the Caputo definition for fractional derivatives. The method reduces the coupled system to a system of algebraic equations which is simple in handling and gives the best results.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Link

https://iopscience.iop.org/article/10.1088/1742-6596/1804/1/012021/pdf

Reference21 articles.

1. Numerical algorithm based on Bernstein polynomials for solving nonlinear fractional diffusion-wave equation;Chatterjee;Int. J. ofAdvances AppliedMathematics Andm.,2017

2. Approximate solution for system of fractional non-linear dynamical marriage model using Bernstein polynomials;Khader;J. Nonlinear Sci. Appl.,2017

3. Adomian Decomposition Method with Modified Bernstein Polynomials for Solving Ordinary and Partial Differential Equations;Qasim;J. Appl. Math.,2018

4. Normalized Bernstein polynomials in solving spacetime fractional diffusion equation;Baseri;Adv. Differ. Equations,2017

5. Numerical solution of time-fractional order telegraph equation by bernstein polynomials operational matrices;Asgari;Math. Probl. Eng.,2016

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