Numerical Computation Method in Solving Integral Equation by Using the Second Chebyshev Wavelets

摘要

In this paper, a numerical method for solving the Fredholm and Volterra integral equations is presented. The method is based upon the second Chebyshev wavelet approximation. The properties of the second Chebyshev wavelet are first presented and then operational matrix of integration of the second Chebyshev wavelets basis and product operation matrix of it are derived. The second Chebyshev wavelet approximation method is then utilized to reduce the integral equation to the solution of algebraic equations combining Galerkin method. Some comparative examples are included to demonstrate superiority of operational matrix of the second Chebyshev wavelets to those of Legendre wavelets and CAS wavelets. It shows higher accuracy of the second Chebyshev wavelets method.