Open AccessSolving Fractional Coupled EW and Coupled MEW Equations Using Bernstein Collocation Method
Author(s) -
Susan H. Mohammad,
Ekhlass S. Al-Rawi
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1804/1/012021
Subject(s) - collocation (remote sensing) , algebraic equation , mathematics , simple (philosophy) , fractional calculus , collocation method , space (punctuation) , mathematical analysis , wave equation , orthogonal collocation , physics , computer science , differential equation , nonlinear system , quantum mechanics , ordinary differential equation , philosophy , epistemology , machine learning , operating system
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.