This study presents a novel local meshless approach for solving one-dimensional Fisher’s equation, combining a local scheme, Gaussian radial basis functions (G-RBF), and a collocation technique. The ...

Abstract: A broad range of scientific simulations involve solving large-scale computationally expensive linear systems of equations. Iterative solvers are typically preferred over direct methods when ...

This article investigates the stochastic Davey–Stewartson equations influenced by multiplicative noise within the framework of the It\(\hat{o}\) calculus. These equations are of significant importance ...

This paper focuses on the dynamical analysis of the advection-diffusion-reaction equation under various conditions that highlight the system’s sensitivity and potential for chaotic behavior. Traveling ...

A unified end-to-end learning and control framework that is able to learn a (neural) control objective function, dynamics equation, control policy, or/and optimal trajectory in a control system.

1 Department of Mathematics, Umm Al-Qura University, Mecca, Saudi Arabia. 2 Department of Mathematics, University College in Qunfudah, Umm Al-Qura University, Mecca, Saudi Arabia. Allen-Cahn equation ...

I am an applied mathematician. My research area is computational fluid dynamics, which involves developing, analyzing, and implementing algorithms (numerical methods) that allow us to model situations ...