Boundary-value problems (Neumann condition)

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SUMMARY

This discussion focuses on boundary-value problems specifically related to von Neumann conditions in the context of heat transfer and wave equations. The book "PDE with Fourier Series and Boundary Value Problems" by Asmar is recommended as a resource for understanding these concepts. The user inquires about the coverage of Neumann Boundary Conditions in Asmar's book, particularly in Chapter 5.4, and seeks clarification on the types of problems presented. The discussion highlights the importance of selecting appropriate literature for mastering boundary-value problems.

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  • Understanding of Partial Differential Equations (PDE)
  • Familiarity with Boundary-Value Problems
  • Knowledge of Fourier Series
  • Basic concepts of Neumann and Dirichlet Boundary Conditions
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  • Research "Neumann Boundary Conditions in Partial Differential Equations"
  • Explore "Fourier Series Applications in Heat Transfer"
  • Study "Bessel Functions and Their Applications in PDEs"
  • Review "Differential Equations with Boundary-Value Problems" by Dennis G. Zill for foundational knowledge
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Students and professionals in applied mathematics, engineering, and physics who are dealing with boundary-value problems, particularly those focusing on heat transfer and wave equations.

phioder
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Hello

Looking for basic boundary-value problems with von Neumann conditions, more specific the applied ones to heat transfer or the wave equation.
Could anyone recommend some good book that explains in an easy way the von Neumann conditions or has some solved problems related to the von Neumann conditions?

Best Regards
 
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what said:
PDE with Fourier Series and Boundary Value Problems by Asmar

Thank you for your reply and information, it seems that the book is what I'm looking for, but I have some questions before ordering (~$100 USD).

As for now I have being using Dennis G. Zill, Differential Equations with Boundary-Value Problems with a very good but quick introduction to Partial Differential Equations in Cylindrical and Polar coordinates, Bessel Functions, basic and general Dirichlet problems.

Does the book by Asmar approaches problems with Neumann Boundary Conditions (Chapter 5.4?) or the problems presented on his book are defined only with Dirichlet conditions?

If there are some problems with Neumann Boundary Conditions , could you tell me which ones? Sorry about the question but the library doesn't have the book and the table of contents at Amazon tells me that the book presents only very basic problems with general Dirichlet boundary conditions.

Best Regards
 

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