Abstract
In the current study, we provide a novel technique based on discrete shifted Hahn polynomials and Legendre-Gauss-Lobatto quadrature method for solving Caputo-Fabrizio fractional Volterra partial integro-differential equations (CFF-VPIDEs). The process of numerical algorithm contains the modified operational matrices (MOMs) and complement vectors (CVs), which directly influence the accuracy of the approach. Also, we expand the Volterra integral part of the equation with the help of the Legendre-Gauss- Lobatto quadrature method. The composition of the novel operational matrices with the Legendre-Gauss-Lobatto quadrature rule creates high precision and efficient method. Further, we present the error analysis of our scheme. Finally, to confirm the accuracy of theoretical results, we examine several examples. (c) 2021 Elsevier B.V. All rights reserved.
NSTL
Elsevier