حل معادله انتگرال فردهلم نوع دوم با هسته منفرد

Solution of Fredholm Integral Equation of The Second Kind with Singular Kernel

Intergal equation with singular kernel is the fundamental and important in sciences. In this paper, we try to get singular kernel approximation by using suitable choose of the mesh points. In this way, for obtaining the solution of integral equation, we use orthonormal bases which they are constructed legendre polynomials. The computations are reduced because of orthonormality and operational matrixes are diagonal. Also the numerical example illustrate a high accuracy of approximation.