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 …

This paper presents the innovative Taylor wavelet collocation method (TWCM) for the stiff
systems arising in chemical reactions. In this technique, first, we generated the functional …

Abstract After applying the Finite Element Method (FEM) to the diffusion-type and wave-type
Partial Differential Equations (PDEs), a first order and a second order Ordinary Differential …

Application of the Haar wavelet approach for solving stiff differential equations is discussed.
Solution of singular perturbation problems is also considered. Efficiency of the …

In this paper, the problem of the spread of a non-fatal disease in a population is solved by
using the Hermite collocation method. Mathematical modeling of the problem corresponds to …

This paper applies a new modification of the Homotopy Perturbation Method that is called
Rational Homotopy Perturbation Method (RHPM) to obtain an analytic approximation of stiff …

In this manuscript, a new class of high-order multistep methods on the basis of hybrid
backward differentiation formulas (BDF) have been illustrated for the numerical solutions of …

In this study, the multi-step fractional differential transform method (MSFDTM) is employed to
obtain approximate analytical solutions of stiff systems of fractional order. The fractional …

In this paper, we present a general form of N th derivative multistep methods. In these hybrid
multistep multiderivative methods, additional stage points (or off-step points) have been …

It is our purpose to introduce a simple multistep method based on linear barycentric rational
interpolation for solving ordinary differential equations. Also, we design an adaptive version …