A quadrature method with variable step for solving linear Volterra integral equations of the second kind

摘要

In usual quadrature methods for solving integral equations, divide the integration interval (a, b) into n equal subintervals of the length h = (b − a)/n. In this article, we intend to divide the integration interval into n subintervals of different lengths, which solves linear Volterra integral equations more accurately than usual quadrature methods. For further information on quadrature methods with variable step see [L.M. Delves, J.L. Mohamed, Computational Methods for Integral Equations, Cambridge University Press, 1985; L.M. Delves, J. Walsh, Numerical Solution of Integral Equations, Oxford University Press, 1974].