This research aims to assemble two methodical spectral Legendre's derivative algorithms to
numerically attack the Lane-Emden, Bratu's, and singularly perturbed type equations. We …

This paper proposes an accurate and robust meshless approach for the numerical solution
of the nonlinear equal width equation. The numerical technique is applied for approximating …

This paper proposes an efficient localized meshless technique for approximating the
viscoelastic wave model. This model is a significant methodology to explain wave …

This paper adopts an efficient localized meshless technique for computing the solution of the
nonlinear sinh-Gordon equation (NShGE). The NShGE is one useful description for many …

In this paper, the space-time fractional advection-diffusion equation (STFADE) is considered
in the finite domain that the time and space derivatives are the Caputo fractional derivative …

In the current article we obtain the extension of Darbo's fixed point theorem (DFPT), and
apply this theorem to prove the existence of solution of an infinite system of implicit fractional …

The effects of magnetic field on boundary layer nano-fluid flow over stretching sheet have
been investigated. Different factors affecting the nano-fluid's motion and particles have been …

This paper discusses a finite difference/spectral method for numerical solving of fractal
mobile/immobile transport (FM/IT) models based on Caputo fractional derivative (C-FD). The …

A second order accurate linearized fractional Crank–Nicolson–Galerkin finite element
scheme is proposed for solving the nonlinear coupled delay subdiffusion system. The …

The fractional calculus provides, over the decades, new tools based on formulations of
definitions and discussions of properties, which allows greater connections with other areas …