ABOUT EXACT SOLUTION OF SOME NON LINEAR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS

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Résumé

Data on solving of nonlinear integro-differential equations using Laplac-SBA method are scarce. The objective of this paper is to dretermine exact solution of nonlinear2 dimensionnal Volterra-Fredholm equation by this method. First, SBA method and Laplace-SBA method are described. Second, three nonlinear Volterra-Fredholm integro-differential equations are solved using each method. Application of each method give an exact solution. however, application of Laplace-SBA method permits for solve integro-differential equation compared with SBA method. this proves that this last method can be fruitfully applied in the resolution of integro-differential equations.

Mots-clés

PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS, Volterra-Fredholm equation, SBA method, Laplace-SBA method