The Approximate Solution of Heat Radiation in A Semi-infinite Solid by using ShiftedChebyshev Polynomials of the First kind

摘要

In this paper, we use Shifted Chebyshev polynomials of the first kind method to solve on linear Volterra weakly singularintegral equations (NLVWSIE’s) of the second kind that described heat radiation. This techniques transform the Non linearVolterra weakly singular integral equations to a system of nonlinear algebraic equations. Example is presented toillustrate the efficiency and accuracy of this method.