Learn how to solve boundary value problems in Python using the finite difference method! 🐍📐 This tutorial walks you step-by-step through setting up the problem, discretizing the domain, and ...

Compared to the conventional high-order staggered-grid finite-difference method (C-SFD), the time–space domain dispersion-relation-based high-order staggered-grid finite-difference method (TS-SFD) can ...

Abstract: This letter proposes a generalized and controllable-stability conformal method to address stability challenges inherent in conformal finite-difference time-domain algorithms. A quantitative ...

ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...

The mGFD (meshless Generalized Finite Differences) repository provides a comprehensive solution for numerically solving Partial Differential Equations in two dimensions on highly irregular regions.

This is an informal GitHub organization around the finite volume method (FVM) for numerical modeling of (simple) transport phenomena and the software tools that enable this. Compared to finite ...

Abstract: The meshless generalized finite difference method (GFDM) was used to simulate elastic wave propagation in the frequency domain. Dispersion analysis and numerical experiments were conducted ...

1 Department of Mathematics, Comilla University, Kotbari, Bangladesh. 2 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. In this paper, we investigate and analyze ...

1 Department of Applied Mathematics, Adama Science and Technology University, Adama, Ethiopia 2 Department of Mathematics and Applied Mathematics, University of the Western Cape, Cape Town, South ...