Numerical solutions of systems of nonlinear integro-differential equations by homotopy-perturbation method

DOI10.1016/j.apm.2011.02.043zbMath1225.65081OpenAlexW2032118161MaRDI QIDQ646185

Juan-Miguel Gracia

Publication date: 11 November 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.02.043

zbMATH Keywords

integro-differential equationAdomian decomposition methodnumerical solutionshomotopy-perturbation methodbiological species living together

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Numerical methods for ordinary differential equations (65L99)

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Cites Work

• Application of homotopy-perturbation method to Klein-Gordon and sine-Gordon equations
• Application of homotopy-perturbation method to nonlinear population dynamics models
• Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
• Solving fractional diffusion and wave equations by modified homotopy perturbation method
• Homotopy perturbation method for solving reaction-diffusion equations
• Solving the problem of biological species living together by Adomian decomposition method
• An approximate solution technique not depending on small parameters: A special example
• Homotopy perturbation technique
• The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
• Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
• Inverse problem of diffusion equation by He's homotopy perturbation method
• Perturbation methods and non-linear hyperbolic waves
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