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

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dc.contributor.authorAgarwal P.
dc.contributor.authorDeni̇z S.
dc.contributor.authorJain S.
dc.contributor.authorAlderremy A.A.
dc.contributor.authorAly S.
dc.date.accessioned2024-07-22T08:07:36Z
dc.date.available2024-07-22T08:07:36Z
dc.date.issued2020
dc.description.abstractIn 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. © 2019
dc.identifier.DOI-ID10.1016/j.physa.2019.122769
dc.identifier.issn03784371
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14018
dc.language.isoEnglish
dc.publisherElsevier B.V.
dc.subjectChromosomes
dc.subjectGenetic algorithms
dc.subjectIterative methods
dc.subjectPartial differential equations
dc.subjectPerturbation techniques
dc.subjectExact analytical solutions
dc.subjectIteration method
dc.subjectNagumo equation
dc.subjectNonlinear partial differential equations
dc.subjectPopulation genetics
dc.subjectSemi-analytical techniques
dc.subjectSymbolic computation
dc.subjectTime-dependent coefficients
dc.subjectNonlinear equations
dc.titleA new analysis of a partial differential equation arising in biology and population genetics via semi analytical techniques
dc.typeArticle

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