31 окт. 2023 г. · In this paper, we investigate and analyze a one-dimensional heat equation with appropriate initial and boundary conditions using the finite difference method.

The forward time and centered space (FTCS) is used to a problem containing the one-dimensional heat equation and the stability condition of the scheme is ...

This article provides a practical overview of numerical solutions to the heat equation using the finite difference method.

Observations: • The FTCS solution appears to be stable at first. • Toward the end of the simulation time, oscillations grow exponentially.

The aim of this work is to investigate a one-dimensional heat equation by using explicit Forward Time Centered Space (FTCS) and implicit Crank-Nicolson (CN) ...

This article provides a practical overview of numerical solutions to the heat equation using the finite difference method.

1 февр. 2019 г. · In this paper, the two-level finite difference schemes for the one-dimensional heat equation with a nonlocal initial condition are analyzed. As ...

21 янв. 2004 г. · Abstract. This article provides a practical overview of numerical solutions to the heat equation using the finite difference method.

Abstract: In this paper we investigate the quantitative behavior of a wide range of numerical methods for solving linear partial differential equations [PDE's].

This thesis treats the heat equation and its approximate solution using the finite element method. For this purpose, a general theory of the finite ele-.