A collocation procedure is developed for the linear and nonlinear Volterra integral equations, using the globally defined Sinc and auxiliary basis functions. We analytically show the exponential convergence of the Sinc collocation method for approximate solution of Volterra integral equations. Numerical examples are included to confirm applicability and justify rapid convergence of our method.
Zarebnia, M. and Rashidinia, J.
Convergence of the Sinc method applied to Volterra integral equations,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
1, Article 15.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss1/15