KUWAIT JOURNAL OF SCIENCE, vol.48, no.1, pp.1-9, 2021 (Journal Indexed in SCI Expanded)
In this paper, we study quasilinear Volterra integro-differential equations (VIDEs). Asymptotic estimates are made
for the solution of VIDE. Finite difference scheme, which is accomplished by the method of integral identities using
interpolating quadrature rules with weight functions and remainder term in integral form, is presented for the VIDE.
Error estimates are carried out according to the discrete maximum norm. It is given an effective quasilinearization
technique for solving nonlinear VIDE. The theoretical results are performed on numerical examples.