The steady-state heat equation for a circular plate with Dirichlet boundary conditions has been solved using a method that combines Fourier expansion and a second-order finite difference scheme. This ...
A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...
This repository features MATLAB projects using Finite Difference Methods to solve Laplace's equation and Maxwell's equations. It includes a 2D Laplace's Equation Solver and a 1D FDTD Simulation with ...
Heat energy plays an essential role in numerous engineering applications, from thermal management in electronic devices to the design of efficient energy systems. Understanding and predicting the ...
Article Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to ...
Abstract: A set of two-dimensional (2D) electromagnetic (EM) MATLAB codes, using both first-order coupled differential (Maxwell) equations and second-order decoupled (wave) equations, are developed ...
For the conventional staggered-grid finite-difference scheme (C-SFD), although the spatial finite-difference (FD) operator can reach 2M th-order accuracy, the FD discrete wave equation is the only ...
Coarse-mesh finite difference (CMFD) method is a widely used numerical acceleration method. However, the stability of CMFD method is not good for the problems with optically thick regions. In this ...
This is the MATLAB code and Python code written to solve Laplace Equation for 2D steady state heat-conduction equation using various FDM techniques.
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