Title of article :
Legendre wavelet method for solving Hammerstein integral equations of the second kind
Author/Authors :
Javadi, Shahnam Faculty of Mathematical Sciences and Computer - Kharazmi University , Saeidian, Jamshid Faculty of Mathematical Sciences and Computer - Kharazmi University , Safari, Farzaneh Faculty of Mathematical Sciences and Computer - Kharazmi University
Abstract :
An efficient 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 efficiency of the method and its superiority are presented.
Keywords :
Legendre wavelets , Fredholm-Hammerstein integral equations , Volterra-Hammerstein integral equations , Newton’s method , Operational matrix
Journal title :
نظريه تقريب و كاربردهاي آن
