Legendre wavelet method for solving Hammerstein integral equations of the second kind

Document Type: Research Articles

Authors

1 دانشگاه خوارزمی تهران

2 دانشکده ریاضی دانشگاه خوارزمی تهران

Abstract

An ecient method, based on the Legendre wavelets, is proposed to solve the
second kind Fredholm and Volterra integral equations of Hammerstein type.
The properties of Legendre wavelet family are utilized to reduce a nonlinear
integral equation to a system of nonlinear algebraic equations, which is easily
handled with the well-known Newton's method. Examples assuring eciency
of the method and its superiority are presented.

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