In the current study, new functions called generalized fractional-order Bernoulli wavelet
functions (GFBWFs) based on the Bernoulli wavelets are defined to obtain the numerical …

On one approach to solve the linear boundary value problems for Fredholm integro-differential
equations - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

This article develops an efficient direct solver for solving numerically the high-order linear
Fredholm integro-differential equations (FIDEs) with piecewise intervals under initial …

The dynamics of COVID-19 is investigated with regard to complex contributions of the
omitted factors. For this purpose, we use a fractional order SEIR model which allows us to …

In this article, a numerical technique is presented for the approximate solution of the Bagley–
Torvik equation, which is a class of fractional differential equations. The basic idea of this …

In this study, we will obtain the approximate solutions of the HIV infection model of CD4+ T
by developing the Bessel collocation method. This model corresponds to a class of …

In this study, a numerical matrix method based on Chelyshkov polynomials is presented to
solve the linear functional integro-differential equations with variable coefficients under the …

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 paper, we present a numerical scheme for the approximate solutions of the one-
dimensional parabolic convection–diffusion model problems. This method is based on the …

In this paper, an improved Legendre collocation method is presented for a class of integro-
differential equations which involves a population model. This improvement is made by …