Mean value theorem for integrals and its application on numerically solving of Fredholm integral equation of second kind with Toeplitz plus Hankel ‎Kernel

Subject Areas : International Journal of Industrial Mathematics

N.  Mikaeilvand ¹ (Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran.)
S.  Noeiaghdam ² (Young Researchers and Elite Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran.)

Received: 2014-11-09 Accepted : 2014-11-09 Published : 2014-12-01

Keywords: Fredholm Integral Equations, Toeplitz plus Hankel Kernel, Mean Value Theorem for ‎Integr,

Abstract :

‎The subject of this paper is the solution of the Fredholm integral equation with Toeplitz, Hankel and the Toeplitz plus Hankel kernel. The mean value theorem for integrals is applied and then extended for solving high dimensional problems and finally, some example and graph of error function are presented to show the ability and simplicity of the ‎method.