Application of Mohand transform coupled with homotopy perturbation method to solve Newel-White-Segel equation

Olubanwo Oludapo Omotola; Adepoju Julius Temiatyo; Ajani Abiodun Sufiat; Shobowale Abiodun Ezekiel

doi:10.56947/amcs.v21.267

Authors

Olubanwo Oludapo Omotola Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Nigeria
Adepoju Julius Temiatyo Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Nigeria
Ajani Abiodun Sufiat Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Nigeria
Shobowale Abiodun Ezekiel Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Nigeria

DOI:

https://doi.org/10.56947/amcs.v21.267

Keywords:

Linear differential equations, nonlinear partial differential equation, NWSE, Integral Transforms

Abstract

To solve the Newell-White-Segel equations (NWSE), this paper presents a novel analytical method that combines the Mohand Transform with the HPM in a unique way. Due to its intrinsic nonlinearity, NWSE, which is essential for simulating intricate events in mathematical biology and physics, poses analytical challenges. An efficient analytical framework for dealing with nonlinear systems is provided by extending the Mohand Transform in combination with the HPM. Comparative evaluations between the results of this study and those of previous research, together with proven analytical solutions, are carried out in the framework of three NWSE examples.