Open AccessAn efficient technique to solve coupled–time fractional Boussinesq–Burger equation using fractional decomposition method
Author(s) -
Mahmoud S. Rawashdeh,
Shifaa Bani-Issa
Publication year - 2021
Publication title -
advances in mechanical engineering/advances in mechanical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.318
H-Index - 40
eISSN - 1687-8140
pISSN - 1687-8132
DOI - 10.1177/16878140211025424
Subject(s) - fractional calculus , nonlinear system , mathematics , decomposition method (queueing theory) , fractional programming , exact solutions in general relativity , mathematical analysis , physics , discrete mathematics , quantum mechanics , nonlinear programming
For this work, a novel numerical approach is proposed to obtain solution for the class of coupled time-fractional Boussinesq–Burger equations which is a nonlinear system. This system under consideration is endowed with Caputo time-fractional derivative. By means of the natural decomposition approach, approximate solutions of the proposed nonlinear fractional system are obtained where the exact solutions are presented in the classical case of fractional order at [Formula: see text]. Some numerical examples are given to support the theoretical framework and to point out the role and the effectiveness of the intended method. Our results clearly show the approximate analytical solutions eventually will converge quickly to the already known exact solutions. AMS Classification: 35A22, 35C05, 35C10, 35R11, 44A30.