New Iterative Method for Solving the Time Fractional Benjamin-Bona-Mahony-Burger Equation

S.S. Omorodion¹

Section:Research Paper, Product Type: Journal-Paper
Vol.8 , Issue.4 , pp.18-25, Aug-2021

Online published on Aug 31, 2021

Copyright © S.S. Omorodion . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, we employed an iterative method called New Iterative Method (NIM) to obtain the approximate solution for time fractional Benjamin-Bona-Mahony-Burger (BBM-Burger) equation. The obtained approximate solution by NIM are calculated with MATLAB and compared with the exact analytical solutions as well as the Residual Power Series Method (RPSM) through different 2D/3D graphical representations and tables. The obtained results show that the NIM is an effective and straightforward method for solving the time fractional BBM-Burger equation and other nonlinear fractional partial differential equations arising in several areas of science and engineering.

Key-Words / Index Term :
Time Fractional BBM-Burger Equation, Fractional Partial Differential Equations, New Iterative Method, Residual Power Series Method

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