Wavelet Galerkin method for numerical solution of nonlinear integral equation. (English) Zbl 1082.65596

Summary: The continuous Legendre wavelets constructed on the interval [0, 1] are used to solve nonlinear Volterra and Fredholm integral equations of the second kind. The nonlinear part of the integral equation is approximated by Legendre wavelets, and the nonlinear integral equation is reduced to a system of nonlinear equations. Numerical examples illustrates the pertinent features of the method.


65R20 Numerical methods for integral equations
45G10 Other nonlinear integral equations
65T60 Numerical methods for wavelets
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