He's homotopy perturbation method: a strongly promising method for solving non-linear systems of the mixed Volterra-Fredholm integral equations

DOI10.1016/j.camwa.2010.12.051zbMath1217.65237OpenAlexW2041377515MaRDI QIDQ552261

Behzad Ghanbari, Mehdi Gholami Porshokouhi, Mohammad Gholami Porshokouhi, Jafar Biazar

Publication date: 21 July 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.12.051

zbMATH Keywords

homotopy perturbation methodmixed Volterra-Fredholm integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

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The solution of two-phase inverse Stefan problem based on a hybrid method with optimization ⋮ The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system ⋮ He's homotopy perturbation method: an effective tool for solving a nonlinear system of two-dimensional Volterra-Fredholm integral equations ⋮ A new computational method-based integral transform for solving time-fractional equation arises in electromagnetic waves ⋮ Analytic solutions for generalized forms of the nonlinear heat conduction equation ⋮ Convergence and error estimation of homotopy perturbation method for Fredholm and Volterra integral equations ⋮ A class of Runge-Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels ⋮ A NEW NUMERICAL METHOD TO SOLVE NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS ⋮ Rational homotopy perturbation method for solving stiff systems of ordinary differential equations

Cites Work

• Maintaining the stability of nonlinear differential equations by the enhancement of HPM
• He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind
• He's homotopy perturbation method for systems of integro-differential equations
• A computational method for system of Volterra-Fredholm integral equations
• Solitary wave solutions for a time-fraction generalized hirota-satsuma coupled KdV equation by an analytical technique
• Application of He's homotopy perturbation method for non-linear system of second-order boundary value problems
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• Application of He's homotopy perturbation method to functional integral equations
• Application of homotopy perturbation method to nonlinear wave equations