He's homotopy perturbation method for fourth-order parabolic equations

DOI10.1080/00207160802395593zbMath1197.65141OpenAlexW2035834278MaRDI QIDQ5747700

Deniz Agirseven, Turgut Öziş

Publication date: 14 September 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802395593

zbMATH Keywords

numerical exampleshomotopy perturbation methodvariable coefficient fourth-order parabolic differential equations

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

• Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
• He's variational iteration method for fourth-order parabolic equations
• Application of He's homotopy perturbation method for Laplace transform
• Homotopy-perturbation method for pure nonlinear differential equation
• Integration using He's homotopy perturbation method
• High accuracy A. D. I. methods for fourth order parabolic equations with variable coefficients
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method for bifurcation of nonlinear problems
• He's homotopy perturbation method for calculating Adomian polynomials
• Analytic treatment for variable coefficient fourth-order parabolic partial differential equations
• Exact solutions for variable coefficients fourth-order parabolic partial differential equations in higher-dimensional spaces
• Homotopy perturbation technique
• Application of He's homotopy perturbation method to functional integral equations
• Theory and computation in singular boundary value problems
• Thin film flow of non-Newtonian fluids on a moving belt
• Application of homotopy perturbation method to nonlinear wave equations
• A family of second order methods for variable coefficient fourth order parabolic partial differential equations
• A stable explicit method for the finite-difference solution of a fourth-order parabolic partial differential equation
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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