THERMAL SCIENCE

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Jun-Feng Lu

,

Li Ma

NUMERICAL ANALYSIS OF SPACE-TIME FRACTIONAL BENJAMIN-BONA-MAHONY EQUATION

ABSTRACT
This paper proposes a numerical approach based on the fractional complex transform and the homotopy perturbation method to solving the space-time fractional Benjamin-Bona-Mahony (mBBM) equation with Caputo fractional derivative. Approximated solutions with high accuracy are provided without linearization or complicated computation. Numerical examples are given to illustrate the efficiency of this method.
KEYWORDS
space-time fractional mBBM equation, fractional complex transform, homotopy perturbation method, approximation
PAPER SUBMITTED: 2021-08-14
PAPER REVISED: 2022-07-20
PAPER ACCEPTED: 2022-07-21
PUBLISHED ONLINE: 2023-06-11
DOI REFERENCE: https://doi.org/10.2298/TSCI2303755L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 3, PAGES [1755 - 1762]
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Numerical analysis of space-time fractional Benjamin-Bona-Mahony equation

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