The object of this project is to solve the 2D heat equation using finite difference method. It’s a MATLAB code that can solve for different materials such as (copper, aluminum, silver, etc….) or it ...

% % Finite Difference methods for solving the 2D heat equation. m = length(Nvec); % Number of different discretizations errs = zeros(m,1); % Initialize vector to ...

1 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. 2 Department of Mathematics, Comilla University, Cumilla, Bangladesh. 3 School of Computer Science and Technology, ...

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 ...

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 ...

Abstract: In thermal engineering, maintaining the temperature precisely at a desired setpoint is an essential objective for many processes. When heating actuators act locally and a few point sensors ...

Abstract: The growth process of the Czochralski (CZ) sili-con single crystal (SSC) involves complex phase changes and interactions between multiple fields. Heat, as the fundamental driving force of ...