Comparison between homotopy analysis method and optimal homotopy asymptotic method for nth-order integro-differential equation

DOI10.1002/mma.1483zbMath1226.65109OpenAlexW2153568614MaRDI QIDQ3174261

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Publication date: 12 October 2011

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1483

zbMATH Keywords

numerical examplesseries solutionhomotopy analysis methodoptimal homotopy asymptotic methodconvergence region\(n\)th-order integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20)

Related Items (3)

Modified iteration method for solving fractional gas dynamics equation ⋮ On the convergence of the homotopy analysis method for inner-resonance of tangent nonlinear cushioning packaging system with critical components ⋮ Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind

Cites Work

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• A study on the convergence of homotopy analysis method
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• Homotopy analysis method for solving fractional Lorenz system
• Application of the variational iteration method for solving \(n\)th-order integro-differential equations
• Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method
• An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
• Comparison between the homotopy analysis method and homotopy perturbation method to solve coupled Schrödinger-KdV equation
• Application of He's homotopy perturbation method for \(n\)th-order integro-differential equations
• A new technique of using homotopy analysis method for solving high-order nonlinear differential equations
• Beyond Perturbation

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