One-Dimensional Heat Flow
Abstract
In Chapter 1 , it was indicated that many phenomena of physics and engineering are expressed by partial differential equations PDEs. The PDE is termed a Boundary Value Problem (BVP) if the boundary conditions of the dependent variable u and some of its partial derivatives are often prescribed. However, the PDE is called an Initial Value Problem (IVP) if the initial conditions of the dependent variable u are prescribed at the starting time t= 0. Moreover, the PDE is termed Initial Boundary Value Problem (IBVP) if both initial conditions and boundary conditions are prescribed.
Fields of Study & Subjects
Heat Transfer and Numerical Methods
Differential Equations and Boundary Problems
Differential Equations and Numerical Methods
Publication details
- Journal / source
- CRC Press eBooks
- Pages
- 55–87
- Publication date
- 19 January 2026
- Language
- EN
- Document type
- Book chapter