The current paper uses the cubic B-spline functions and θ-weighted scheme to achieve
numerical solutions of the time fractional Burgers' equation with Atangana–Baleanu …

In this research, an unrivalled hybrid scheme which involves the coupling of the new Elzaki
integral transform (an improved version of Laplace transform) and a modified differential …

In this article, a numerical technique based on polynomials is proposed for the solution of
one and two-dimensional time-fractional Burgers equation. First, the given problem is …

Natural disasters present ongoing risks to human life and the global economy, with climate
change and environmental factors exacerbating these threats. This article introduces an …

The article introduces a novel and developed a numerical technique that solves nonlinear
time fractional differential equations. It combines finite difference and non-polynomial spline …

A prototype model used to explain the relationship between mechanisms of reaction,
convection effects, and transportation of diffusion is the generalized Burgers–Huxley …

In this paper, we study the generalized time fractional Burgers equation, where the time
fractional derivative is in the sense of Caputo with derivative order in (0, 1). If its solution u (x …

DNA, or deoxyribonucleic acid, is found in every single cell and is the cell's primary
information storage medium. DNA stores all an organism's genetic information, including the …

This paper deals with the design and analysis of a high order numerical scheme for the
nonlinear time-fractional generalized Fisher's equation (TFGFE). The Caputo fractional …

This paper aims to investigate numerical solution of time fractional modified Burgers'
equation via Caputo fractional derivative. Extended cubic B-spline collocation scheme which …