Nonlinear Integro-Differential Equations

In this paper,the continuse Legendre wavelets constructed on the interval [0; 1] are used to solve the nonlinear Fredholm integro- differential equation. The nonlinear part of integro-differential is ap- proximated by Legendre wavelets, and the nonlinear integro-di®erential is reduced to a system of nonlinear equations. We give some numerical examples to show applicability of the proposed method.