Higher Dimensional Heat Flow
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 will be carried out ONLY by using Adomian decomposition method [1, 2] and the method of separation of variables [3, 4, 6, 7, 8, 9]. The two methods have been outlined in Chapters 2 and 3 and were implemented for the heat equation in one dimension.
KeywordsPartial Differential Equation Heat Equation Decomposition Method Operator Form Superposition Principle
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