Generalization of the Modified Bernstein Polynomials Method for Solving Fractional Coupled Equal Width Wave Equations

Abstract

Abstract The objective of this research paper is to find the approximate solution to the fractional partial differential equations, which are difficult to find the exact solution, and therefore, by relying on the modified Bernstein polynomial, the study suggested generalizing the method to be available for both space and time fractional partial differential equations. In order to investigate the ability of the method to reach the approximate solution, the method was applied to the coupled of space-time-fractional of the equal width wave equations(FCEWE) using Caputo’s definition of the fractional derivative, the results of the application showed the ability of the method to find the approximate solution.