A new analytical method for solving systems of Volterra integral equations

DOI10.1080/00207160903128497zbMath1197.65218OpenAlexW2048739721MaRDI QIDQ3568474

Hossein Aminikhah, Jafar Biazar

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/10.1080/00207160903128497

zbMATH Keywords

comparison of methodsnumerical examplesVolterra integral equationAdomian's decomposition methodsystem of integral equationshomotopy perturbation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Systems of nonlinear integral equations (45G15) Volterra integral equations (45D05)

Related Items (8)

The solution of two-phase inverse Stefan problem based on a hybrid method with optimization ⋮ Convergence and error estimation of homotopy perturbation method for Fredholm and Volterra integral equations ⋮ Analytical solution of system of Volterra integral equations using OHAM ⋮ Optimal homotopy asymptotic and multistage optimal homotopy asymptotic methods for solving system of Volterra integral equations of the second kind ⋮ An approximate solution to an initial boundary value problem: Rakib–Sivashinsky equation ⋮ Single-term Walsh series method for systems of linear Volterra integral equations of the second kind ⋮ The spectral method for solving systems of Volterra integral equations ⋮ Ritz–Galerkin method for solving an inverse problem of parabolic equation with moving boundaries and integral condition

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
• Homotopy-perturbation method for pure nonlinear differential equation
• Modified homotopy perturbation method for solving Fredholm integral equations
• Solution of delay differential equations via a homotopy perturbation method
• Application of homotopy perturbation method for solving eighth-order boundary value problems
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method for solving boundary value problems
• Homotopy perturbation technique
• The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
• Application of He's homotopy perturbation method to conservative truly nonlinear oscillators
• Numerical solution for special nonlinear Fredholm integral equation by HPM
• Application of homotopy perturbation method to nonlinear wave equations
• 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
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