Higher Dimensional Heat Flow
Abstract
This chapter is devoted to the study of the PDEs that control the heat flow in two and three dimensional spaces. The higher dimensional heat flow has been the subject of intensive analytical and numerical investigations. The work in this chapter will run in a parallel manner to the work used in Chapter 3 . The study of higher dimensional heat equation stems mainly from Adomian decomposition method and the method of Separation of variables. The two methods have been outlined in Chapters 2 and 3 and were implemented for the heat equation in one dimension.
Fields of Study & Subjects
Differential Equations and Boundary Problems
Heat Transfer and Numerical Methods
Fractional Differential Equations Solutions
Publication details
- Journal / source
- CRC Press eBooks
- Pages
- 89–123
- Publication date
- 19 January 2026
- Language
- EN
- Document type
- Book chapter