Higher Dimensional Heat Flow

  • Abdul-Majid Wazwaz
Part of the Nonlinear Physical Science book series (NPS)


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.


Partial Differential Equation Heat Equation Decomposition Method Operator Form Superposition Principle 
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Copyright information

© Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Abdul-Majid Wazwaz
    • 1
  1. 1.Department of MathematicsSaint Xavier UniversityChicagoUSA

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