1D Heat Equation Solver using Numerical Methods This project implements numerical solutions to the one-dimensional (1D) heat equation using both explicit and implicit models. The objective is to ...

1D Heat Equation Solver using Numerical Methods This project implements numerical solutions to the one-dimensional (1D) heat equation using both explicit and implicit models. The goal is to compare ...

In this paper, we investigate and analyze one-dimensional heat equation with appropriate initial and boundary condition using finite difference method. Finite difference method is a well-known ...

3 Heat equation This section is dedicated to determining approximate numerical solutions of the heat equation using Fourier spectral methods. In order to simplify the model, the imposed boundary ...

The enthalpy method establishes a unified control equation for the entire computational region (solid-phase zone, liquid-phase zone, and solid-liquid phase change interface). The heat conduction ...

ABSTRACT: In this paper, we investigate and analyze one-dimensional heat equation with appropriate initial and boundary condition using finite difference method. Finite difference method is a ...

Figure 20. In any method based on a finite element approximation, mesh quality will affect the quality of the solution. However, because the heat method is based on solving low-order elliptic ...

A new method, combining complex analysis with numerics, is introduced for solving a large class of linear partial differential equations (PDEs). This includes any linear constant coefficient PDE, as ...