In this paper, a new collocation method, which is based on Boubaker polynomials, is
introduced for the approximate solutions of mixed linear integro-differential-difference …

A compact finite difference method is designed to obtain quick and accurate solutions to
partial differential equation problems. The problem of pricing an American option can be …

A new method is proposed for numerical solution of Fredholm and Volterra integro-
differential equations of second kind. The proposed method is based on Haar wavelets …

In this study, a practical matrix method is presented to find an approximate solution of high-
order linear Fredholm integro-differential equations with constant coefficients under the …

We propose an effective method to solve high-order linear Fredholm integro-differential
equations having a weak or strong kernel. The target is to construct fast and accurate …

In this study, we present a new and very accurate numerical method to approximate the
Fisher's-type equations. Firstly, the spatial derivative in the proposed equation is …

Numerical solution of mixed linear integro-differential-difference equation is presented using
Chebyshev collocation method. The aim of this article is to present an efficient numerical …

This paper presents a high order numerical method based on a uniform mesh to obtain a
highly accurate result for generalized Black–Scholes equation arising in the financial …

In this study, a practical matrix method, which is based on collocation points, is presented to
find approximate solutions of high-order linear Volterra integro-differential equations (VIDEs) …

We consider a linear singularly perturbed Volterra integro-differential equation. Our aim is to
design and analyse a finite difference method which is robust with respect to the …