Abstract: Partial differential equations (PDEs) are ubiquitous to the mathematical description of physical phenomena. Typical examples describe the evolution of a field in time as a function of its ...

1 Department of Mathematics, University of Education, Okara Campus, Okara, Pakistan. 2 Center for Undergraduate Studies, University of the Punjab, Lahore, Pakistan. 3 Air University Multan Campus, ...

Abstract: We present a method for the stability analysis of a large class of linear partial differential equations (PDEs) in one spatial dimension. We rely on Lyapunov analysis to establish the ...

This repository allows you to solve forward and inverse problems related to partial differential equations (PDEs) using finite basis physics-informed neural networks (FBPINNs). To improve the ...

1 Mathematics Department, Faculty of Mathematical & Computer Science, Gezira University, Wad Madani, Sudan. 2 Mathematics Department, Faculty of Sciences and Arts, University of Jeddah, Jeddah, KSA.

Solver for coupled nonlinear partial differential equations (elliptic-parabolic conservation laws) based on the Voronoi finite volume method. It uses automatic differentiation via ForwardDiff.jl and ...

1 Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt 2 Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt This paper investigates the ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...