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 paper, we investigate the numerical solutions of the nonlinear complex
Layla and Majnun fractional mathematical model, which describes the emotional behavior of …

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 …

The paper exhibits a practical and effective scheme to approximate the solutions of a class
of fractional differential equations known as the Bagley-Torvik equations. The underlying …

The aim of this article is to investigate the effect of mass and heat transfer on unsteady
squeeze flow of viscous fluid under the influence of variable magnetic field. The flow is …

This manuscript deals with a novel hybrid spectral collocation approach to find the
approximate solutions of a class of nonlinear partial differential equations of parabolic type …

We propose two accurate and efficient spectral collocation techniques based on a (novel)
domain-splitting strategy to handle a nonlinear fractional system consisting of three ODEs …

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 …