A method for solving nonlinear integro‐differential equations
Abstract
Purpose
The purpose of this paper is to present a method for solving nonlinear integro‐differential equations with constant/variable coefficients and with initial/boundary conditions.
Design/methodology/approach
The method converts the given problem into a system of nonlinear algebraic equations. By solving this system, the solution is determined. Comparing the methodology with some known techniques shows that the present approach is simple, easy to use and highly accurate.
Findings
The proposed technique allows an approximate solution in a series form to be obtained. Test problems are solved to illustrate the pertinent features of the method. The accuracy of the numerical results indicates that the technique is efficient and well suited for solving nonlinear integro‐differential equations.
Originality/value
The present approach provides a reliable technique which avoids the tedious work needed by the classical techniques.
Keywords
Citation
Ben Zitoun, F. and Cherruault, Y. (2012), "A method for solving nonlinear integro‐differential equations", Kybernetes, Vol. 41 No. 1/2, pp. 35-50. https://doi.org/10.1108/03684921211213098
Publisher
:Emerald Group Publishing Limited
Copyright © 2012, Emerald Group Publishing Limited