Numerical solution of nonlinear Volterra-Fredholm integro-differential equations using homotopy analysis method

DOI10.1007/s12190-010-0417-4zbMath1291.65374OpenAlexW2052472639MaRDI QIDQ2251720

Sh. Sadigh Behzadi, Mohammad Ali Fariborzi Araghi

Publication date: 15 July 2014

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-010-0417-4

zbMATH Keywords

integro-differential equationshomotopy analysis method (HAM)Volterra and Fredholm integral equationsmodified Adomian decomposition method (MADM)Taylor polynomial method (TPM)

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

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Cites Work

• Notes on the homotopy analysis method: some definitions and theorems
• On the homotopy analysis method for nonlinear problems.
• A new modification of the Adomian decomposition method for linear and nonlinear operators
• Newton-homotopy analysis method for nonlinear equations
• Numerical solution of nonlinear Volterra-Fredholm integro-differential equations
• Homotopy analysis method for quadratic Riccati differential equation
• Modified decomposition method for nonlinear Volterra-Fredholm integral equations
• Solving Nonlinear Volterra | Fredholm Integro-differential Equations Using the Modified Adomian Decomposition Method
• The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials
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