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

محورهای موضوعی : Applied Mathematics

Sh Javadi ¹ ( Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani avenue, Tehran 15618-36314, Iran )
J Saeidian ² ( Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani avenue, Tehran 15618-36314, Iran )
F Safari ³ ( Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani avenue, Tehran 15618-36314, Iran )

تاریخ دریافت : 1394/06/29 تاریخ پذیرش : 1394/06/29 تاریخ انتشار : 1394/09/10

کلید واژه: Legendre wavelets, Fredholm-Hammerstein integral equations, Volterra-Hammerstein integral equations, Newton&#039, s method, Operational matrix,

چکیده مقاله :

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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