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 ...

The heat equation is a second-order parabolic partial differential equation, which can be solved in many ways using numerical methods. This paper provides a numerical solution that uses the finite ...

In this study, we present a fast algorithm for the numerical solution of the heat equation. The heat equation models the heat diffusion over time and through a given region. We engage a finite ...

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 ...

Numerical Solutions to the 1D and 2D Heat Equation Using Explicit, Implicit, and Crank-Nicolson Methods Abstract This paper explores the numerical solutions to the one-dimensional and two-dimensional ...

The heat transfer equation was discretised along the spatial position using the numerical method of orthogonal collocation on finite elements (Finlayson, 1980).

This article presents a new numerical method, which approximates Neumann type null controls for the heat equation and is based on the Fokas method. This is a direct method for solving problems ...

Using default parameters, the heat method (middle) and fast marching (right) both produce results of comparable accuracy, here within less than 1% of the polyhedral distance—see Table 1 for a more ...