Fourier Approximation for Integral Equations on the Real Line

Abstract EN

Based on Guass quadradure method a class of integral equations having unknown periodic solution on the real line is investigated, by using Fourier series expansion for the solution of the integral equation and applying a process for changing the interval to the finite interval (−1; 1), the Chebychev weights become appropriate and examples indicate the high accuracy and very good approximation to the solution of the integral.