6 papers
Existence, asymptotic behaviour and convergence of a generalised 3D Muskat problem in stable regime
Qasim Khan, Anthony Suen, Bao Quoc Tang
We address a generalised three-dimensional -Muskat model that comes from the fluid interface problem given by two incompressible fluids with different densities in the stable re…
Turing Instability Suppressed and Induced by Multiplicative Noise in Brusselator System
Qasim Khan, Anthony Suen, Bao Quoc Tang
The effect of multiplicative noise to the Turing instability of the Brusselator system is investigated. We show that when the noise acts on both of the concentrations with the same…
Iterative Procedure for Non-Linear Fractional Integro-Differential Equations via Daftardar--Jafari Polynomials
Qasim Khan, Anthony Suen
In this paper, we introduce a novel approach called the Iterative Aboodh Transform Method (IATM) which utilizes Daftardar--Jafari polynomials for solving non-linear problems. Such…
Modified approach for linear and non-linear IBVPs with fractional dynamics
Qasim Khan, Anthony Suen
Analytical and numerical techniques have been developed for solving fractional partial differential equations (FPDEs) and their systems with initial conditions. However, it is much…
An Efficient Approach to Fractional Analysis for Non-Linear Coupled Thermo-Elastic Systems
Qasim Khan
Nonlinear thermoelastic systems play a crucial role in understanding thermal conductivity, stresses, elasticity, and temperature interactions. This research focuses on finding solu…
Comparative Analysis of Polynomials with Their Computational Costs
Qasim Khan, Anthony Suen
In this article, we explore the effectiveness of two polynomial methods in solving non-linear time and space fractional partial differential equations. We first outline the general…