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

Theory of Approximation and Applications

مقاله 3، دوره 9، شماره 2، اسفند 2015، صفحه 37-55   

نوع مقاله: Research Articles

نویسندگان

Sh Javadi؛ J Saeidian^* ؛ F Safari

Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani avenue, Tehran 15618-36314, Iran

چکیده

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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