Asif Ali Shaikh

Computational Analysis of the Stability of 2D Heat Equation on Elliptical Domain Using Finite Difference Method

Mehwish Naz Rajput, Asif Ali Shaikh & Shakeel Ahmed Kamboh · Asian Research Journal of Mathematics · 2020

Aims: The aim and objective of the study to derive and analyze the stability of the finite difference schemes in relation to the irregularity of domain. Study Design: First of all, an elliptical domain has been constructed with the governing two dimensional (2D) heat equation tha...

Open access Research Article 10.9734/arjom/2020/v16i330177

Comparison of Proposed and Existing Fourth Order Schemes for Solving Non-linear Equations

Khushbu Rajput, Asif Ali Shaikh & Sania Qureshi · Asian Research Journal of Mathematics · 2019

This paper, investigates the comparison of the convergence behavior of the proposed scheme and existing schemes in literature. While all schemes having fourth-order convergence and derivative-free nature. Numerical approximation demonstrates that the proposed schemes are able to...

Open access Research Article 10.9734/arjom/2019/v15i230143