Approximate analytical solutions of reaction-diffusion equations with exponential source term: Homotopy perturbation method (HPM)

DOI10.1016/j.aml.2011.04.003zbMath1221.34040OpenAlexW2028837340MaRDI QIDQ550456

M. Zuilino, Suraju Olusegun Ajadi

Publication date: 11 July 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.04.003

zbMATH Keywords

combustionreaction-diffusionHPMexponential source term

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial-boundary value problems for second-order parabolic equations (35K20) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (3)

The HPM applied to MHD nanofluid flow over a horizontal stretching plate ⋮ Approximate analytic solution for critical parameters in a thermal explosion problem ⋮ A modified homotopy perturbation method coupled with the Fourier transform for nonlinear and singular Lane-Emden equations

Cites Work

• The decomposition method for Cauchy reaction-diffusion problems
• Application of he's homotopy perturbation method for solving the Cauchy reaction-diffusion problem
• Critical values for some non-class \(A\) geometries in thermal ignition theory
• Homotopy perturbation method: a new nonlinear analytical technique
• Homotopy perturbation method for solving boundary value problems
• Critical parameters for thermal conduction equations.
• Analytical Approach to Fractional Zakharov–Kuznetsov Equations by He's Homotopy Perturbation Method
• Analytical approximate solutions of the fractional convection–diffusion equation with nonlinear source term by He's homotopy perturbation method

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