Legendre wavelet method for solving Hammerstein integral equations of the second kind
الموضوعات :Sh Javadi 1 , J Saeidian 2 , F Safari 3
1 - Faculty of Mathematical Sciences and Computer, Kharazmi University, 50
Taleghani avenue, Tehran 15618-36314, Iran
2 - Faculty of Mathematical Sciences and Computer, Kharazmi University, 50
Taleghani avenue, Tehran 15618-36314, Iran
3 - Faculty of Mathematical Sciences and Computer, Kharazmi University, 50
Taleghani avenue, Tehran 15618-36314, Iran
الکلمات المفتاحية: Legendre wavelets, Fredholm-Hammerstein integral equations, Volterra-Hammerstein integral equations, Newton', s method, Operational matrix,
ملخص المقالة :
An ecient method, based on the Legendre wavelets, is proposed to solve thesecond kind Fredholm and Volterra integral equations of Hammerstein type.The properties of Legendre wavelet family are utilized to reduce a nonlinearintegral equation to a system of nonlinear algebraic equations, which is easilyhandled with the well-known Newton's method. Examples assuring eciencyof the method and its superiority are presented.
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