A new approach for solving a class of nonlinear integro-differential equations

DOI10.1016/j.cnsns.2012.05.016zbMath1263.35210OpenAlexW2024823346MaRDI QIDQ1948191

I. L. El-Kalla

Publication date: 2 May 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.05.016

zbMATH Keywords

integro-differential equationsseries solution methodcontraction mappingquadratic integral equations

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Series solutions to PDEs (35C10) Integro-partial differential equations (35R09)

Related Items (6)

An accelerated solution for some classes of nonlinear partial differential equations ⋮ Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet ⋮ Approximate series solution of singular boundary value problems with derivative dependence using Green's function technique ⋮ Solving of nonlinear Fredholm integro-differential equation in a complex plane with rationalized Haar wavelet bases ⋮ A comparison between Adomian decomposition and Tau methods ⋮ Analytical-numeric formulas for the probability density function of multivariate stable and geo-stable distributions

Cites Work

• Unnamed Item
• Unnamed Item
• Homotopy analysis method for the asymmetric laminar flow and heat transfer of viscous fluid between contracting rotating disks
• New results on the analytic summation of Adomian series for some classes of differential and integral equations
• A new convergence proof of the Adomian decomposition method for a mixed hyperbolic elliptic system of conservation laws
• Picard and Adomian methods for quadratic integral equation
• Error estimate of the series solution to a class of nonlinear fractional differential equations
• On the convergence of Adomian decomposition method
• The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations
• On Taylor-series expansion methods for the second kind integral equations
• Analytical treatment and convergence of the Adomian decomposition method for a system of coupled damped wave equations
• On linear and nonlinear integro-differential equations
• Existence principles for nonlinear resonant operator and integral equations
• Convergence of Adomian's method applied to differential equations
• On the homotopy analysis method for nonlinear problems.
• New ideas for proving convergence of decomposition methods
• He's homotopy perturbation method: an effective tool for solving a nonlinear system of two-dimensional Volterra-Fredholm integral equations
• Homotopy perturbation technique
• Convergence of the Adomian method applied to a class of nonlinear integral equations
• Error estimates for series solutions to a class of nonlinear integral equations of mixed type

This page was built for publication: A new approach for solving a class of nonlinear integro-differential equations