Named essentially after their close relationship with the modified Bessel function K ν (z) of
the second kind, which is known also as the Macdonald function (or, with a slightly different …

In this research, we present a new computational technique for solving some physics
problems involving fractional-order differential equations including the famous Bagley …

This paper aims to develop accurate novel collocation techniques for solving a fractional
fractional-order Lotka–Volterra (LV) predator–prey model. This type of equation has a wide …

The main focus of this paper was to find the approximate solution of a class of second-order
multi-pantograph delay differential equations with singularity. We used the shifted version of …

In this paper, two numerical methods based on the novel Bessel polynomials are developed
to solve the fractional-order HIV-1 infection model of CD 4+ T-cells considering the impact of …

The primary focus of this research study is in the development of an effective hybrid matrix
method to solve a class of nonlinear systems of equations of fractional order arising in the …

In this manuscript, we find the numerical solutions of a class of fractional-order differential
equations with singularity and strong nonlinearity pertaining to electrohydrodynamic flow in …

Abstract A shifted Vieta-Fibonacci (SVF) matrix technique is presented to find the solution of
third-order Emden–Fowler equations with nonlinearity and multi-singularity. To develop an …

The article deals with issues related to digital modeling and design of prototypes of aviation
equipment based on virtual automated systems. The expediency of using digital modeling in …

The present work proposes a new, highly accurate and efficient computational technique for
numerical solution of a strongly nonlinear singular two-point boundary value problem which …