Online from: 1972
Subject Area: Electrical & Electronic Engineering
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|Title:||A method for solving nonlinear integro-differential equations|
|Author(s):||Feyed Ben Zitoun, (LIMAT, Laboratoire d'Ingenierie des Materiaux, Universite de Bretagne Sud, Lorient, France), Yves Cherruault, (Universite Pierre et Marie Curie, Paris, France)|
|Citation:||Feyed Ben Zitoun, Yves Cherruault, (2012) "A method for solving nonlinear integro-differential equations", Kybernetes, Vol. 41 Iss: 1/2, pp.35 - 50|
|Keywords:||Constant/variable coefficients, Differential equations, Initial/boundary conditions, Nonlinear integro-differential equations|
|Article type:||Research paper|
|DOI:||10.1108/03684921211213098 (Permanent URL)|
|Publisher:||Emerald Group Publishing Limited|
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.
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