In this article, we present an efficient numerical methodology to solve second-order linear Volterra integro-differential equations. Further, the modified Chebyshev collocation method is used at the Gauss-Lobatto collocation points. In that context, some theoretical investigation related to error analysis is suggested through residual function. Numerical examples are also encountered to study the applicability of the present method. In order to get a vivid illustration of the efficiency, we present a comparative survey with three existing collocation methods.
Sarkar, Nimai; Sen, Mausumi; Jadli, Pratiksha; and Saha, Dipankar
(SI10-077) A Novel Collocation Method for Solving Second-order Volterra Integro-differential Equations,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 17,
3, Article 11.
Available at: https://digitalcommons.pvamu.edu/aam/vol17/iss3/11