A new homotopy perturbation method for system of nonlinear integro-differential equations

DOI10.1080/00207160903243155zbMath1192.65156OpenAlexW2038192031MaRDI QIDQ3568477

Hossein Aminikhah, Maziar Salahi

Publication date: 11 June 2010

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

Full work available at URL: https://doi.org/10.1080/00207160903243155

zbMATH Keywords

Taylor seriesvariational iteration methodhomotopy perturbation methodsystem of nonlinear integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Systems of nonlinear integral equations (45G15)

Related Items (2)

Numerical solution of nonlinear system of integro-differential equations using Chebyshev wavelets ⋮ Systems of nonlinear Volterra integro-differential equations

Cites Work

• Exact solutions for non-linear Schrödinger equations by He's homotopy perturbation method
• 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
• Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder
• A new technique for solving nonlinear integral-differential equations
• Application of homotopy perturbation method for solving eighth-order boundary value problems
• Application of He's homotopy perturbation method for non-linear system of second-order boundary value problems
• Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
• Homotopy perturbation method: a new nonlinear analytical technique
• Comparison of homotopy perturbation method and homotopy analysis method
• Homotopy perturbation technique
• Application of He's homotopy perturbation method for \(n\)th-order integro-differential equations
• Application of He's homotopy perturbation method to conservative truly nonlinear oscillators
• Numerical solution for special nonlinear Fredholm integral equation by HPM
• Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method
• Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
• Analysis of nonlinear integro-differential equations arising in age-dependent epidemic models
• Nonlinear integrodifferential equations as discrete systems
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Solution of a partial differential equation subject to temperature overspecification by He's homotopy perturbation method
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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