A reliable method for obtaining approximate solutions of linear and nonlinear Volterra‐Fredholm integro‐differential equations

DOI10.1108/03684920510605858zbMath1117.65369OpenAlexW2010997604MaRDI QIDQ5695210

Mustafa Inc, Yves Cherruault

Publication date: 11 October 2005

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920510605858

zbMATH Keywords

convergenceiterative schemeAdomian decomposition methodNumerical resultsnonlinear Volterra-Fredholm integro-differential equationsComputer Algebra Systems-Mathematica

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (3)

Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations ⋮ An application of the modified decomposition method for the solution of the coupled Klein-Gordon-Schrödinger equation ⋮ Numerical expansion methods for solving Fredholm‐Volterra type linear integral equations by interpolation and quadrature rules

Uses Software

• Mathematica

Cites Work

• New results for convergence of Adomian's method applied to integral equations
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• A new method for solving singular initial value problems in the second-order ordinary differential equations
• A comparison of Adomian's decomposition method and wavelet-Galerkin method for solving integro-differential equations
• Practical formulae for the calculus of multivariable Adomian polynomials
• Adomian's polynomials for nonlinear operators
• A new computational method for Volterra-Fredholm integral equations
• Analytic solution of nonlinear boundary-value problems in serveral dimensions by decomposition
• Convergence of Adomian's Method
• Convergence of Adomian’s method applied to integral equations
• The Decomposition Method For Solving Of A Class Of Singular Two-Point Boundary Value Problems
• A Taylor expansion approach for solving integral equations
• A new approach to solve a diffusion‐convection problem
• Taylor polynomial solutions of Volterra integral equations
• The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials
• An algorithm for solving a nonlinear integro-differential equation
• A reliable algorithm for solving boundary value problems for higher-order integro-differentiable equations
• The numerical solution of fifth-order boundary value problems by the decomposition method

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