This study presents the problem of spreading a disease that is not fatal in a population by
using the Morgan-voyce collocation method. The main aim of this paper is to find the exact …

In this paper, the Bagley–Torvik equation, which has an important role in fractional calculus,
is solved by generalizing the Taylor collocation method. The proposed method has a new …

In this paper, we give sixth order compact finite difference formula for second order integro-
differential equations (IDE) with different boundary conditions, and both of error estimates …

In this study, a Legendre collocation matrix method is presented to solve high-order Linear
Fredholm integro-differential equations under the mixed conditions in terms of Legendre …

In this study, a collocation method that based on Bernstein polynomials is presented for
nonlinear Fredholm–Volterra integro-differential equations (NFVIDEs). By means of the …

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 …

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 …

The paper presents a new numerical method for solving multipoint boundary value problems
for Volterra–Fredholm integro-differential equations with linear functional arguments. The …

In this paper, the Taylor collocation method is presented for numerically solving the Volterra–
Fredholm integral equations in terms of Taylor polynomials. This method transforms the …

In this paper, a new collocation method based on the Pell–Lucas polynomials is presented
to solve the parabolic-type partial Volterra integro-differential equations. According to the …