A new analysis of a partial differential equation arising in biology and population genetics via semi analytical techniques

P. Agarwal, S. Deni̇z, S. Jain, A.A. Alderremy and Shaban Aly

Physica A: Statistical Mechanics and its Applications, 2020, vol. 542, issue C

Abstract: In this work, we propose a new optimal perturbation iteration method for solving the generalized Fitzhugh–Nagumo equation with time-dependent coefficients. This research reveals that the new proposed technique, with the aid of symbolic computations, provides a straightforward and impressive mathematical tool for solving nonlinear partial differential equations. Implementing this method to Fitzhugh–Nagumo equation illustrates its potency. Convergence analysis also shows that OPIM, unlike many other methods in literature, converges fast to exact analytical solutions of the nonlinear problems at lower order of approximations.

Keywords: Optimal perturbation iteration method; Fitzhugh–Nagumo equation; Population genetics; Symbolic computations (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:542:y:2020:i:c:s0378437119315730

DOI: 10.1016/j.physa.2019.122769

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