This paper is concerned with the design of a high order numerical approach based on a
uniform mesh for efficient numerical solution of time-fractional Black-Scholes equation …

In this study, an analysis of the perturbation factors and fractional order derivatives is
performed for the novel singular model. The design of the perturbed fractional order singular …

The primary focus of our work is to propose a computationally effective approximation
algorithm to find the numerical solution of the so-called a new design of second-order Lane …

Lane–Emden equation is an important nonlinear singular second order differential equation
which can express various phenomena in astrophysics. On the other hand, by growing …

In this paper, a non-uniform mesh optimal B-spline collocation method is presented for the
numerical solution of a singular two-point boundary value problem describing …

This paper is concerned with design and analysis of a high order numerical approach based
on a uniform mesh to approximate the solution of time-fractional fourth order partial …

In this article, we develop the local discontinuous Galerkin finite element method for the
numerical approximations of a class of singular second-order ordinary differential equations …

This paper is concerned with the development of a high order numerical technique for
solving time‐fractional reaction–diffusion equation. The fractional derivative in the governing …

This study deals with the numerical solution of a general class of nonlinear singular
boundary value problems (SBVPs). Firstly, we modify the original model problem at the …

The aim of this research is to present an investigation based on the fractional derivatives
and perturbation factors for the novel singular system. This study also presents a novel …