Exponential fitting collocation methods for a class of Volterra integral equations

摘要

In this paper, we propose a collocation method for a class of Volterra integral equations whose solutions contain periodic functions. Since the exponential fitting interpolation has an advantage in approximating periodic functions, we consider employing it with collocation method to construct our scheme. The global convergence analysis of the scheme is also presented based on the interpolation error. The theoretical results, as well as the superiority of the method, are verified in the numerical part.