One Dimensional Heat Flow

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


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.


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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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