The homotopy analysis method applied to the Kolmogorov-Petrovskii-Piskunov (KPP) and fractional KPP equations

DOI10.1007/s10910-012-0132-5zbMath1402.92456OpenAlexW2058121437MaRDI QIDQ1945538

Yanyan Li

Publication date: 8 April 2013

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-012-0132-5

zbMATH Keywords

KPP equationhomotopy analysis methodfractional KPP equation

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Fractional derivatives and integrals (26A33)

Related Items (6)

On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov-Petrovskii-Piskunov (KPP) equation ⋮ Lie symmetry analysis, explicit solutions and conservation laws for the time fractional Kolmogorov–Petrovskii–Piskunov equation ⋮ Approximate analytical solution of the generalized Kolmogorov-Petrovsky-Piskunov equation with cubic nonlinearity ⋮ The wavelet methods to linear and nonlinear reaction-diffusion model arising in mathematical chemistry ⋮ Two reliable wavelet methods to Fitzhugh-Nagumo (FN) and fractional FN equations ⋮ New exact solutions of Kolmogorov Petrovskii Piskunov equation, Fitzhugh Nagumo equation, and Newell-Whitehead equation

Cites Work

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• Comparison between the homotopy analysis method and homotopy perturbation method
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