Titlebook: Analytical Methods for Heat Transfer and Fluid Flow Problems; Bernhard Weigand Textbook 2015Latest edition Springer-Verlag Berlin Heidelbe

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https://doi.org/10.1007/978-3-658-26532-8This chapter presents an analytical method for obtaining solutions for Sturm-Liouville problem with large eigenvalues. Results are compared for different boundary conditions and the analytically predicted eigenvalues and constants are compared with numerical solutions of the eigenvalue problems.

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Introduction,An introduction is given in the topic by analysing the solution of a transient heat conduction problem. In addition the superposition method is explained for linear partial differential equations.

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Analytical Solutions for Sturm-Liouville Systems with Large Eigenvalues,This chapter presents an analytical method for obtaining solutions for Sturm-Liouville problem with large eigenvalues. Results are compared for different boundary conditions and the analytically predicted eigenvalues and constants are compared with numerical solutions of the eigenvalue problems.

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圓錐體

https://doi.org/10.1007/978-3-658-26532-8equations. As stated in the previous chapter, linear partial differential equations are normally much simpler to solve than nonlinear partial differential equations. In addition, a large body of literature exists on how to solve linear PDEs. This chapter is concerned with the classification of secon

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https://doi.org/10.1007/978-3-658-26532-8leads to eigenvalue problems which have to be solved either analytically or numerically. For most technical problems, where analytical solutions based on the method of separation of variables are still obtainable, these eigenvalue problems might become quite difficult. In order to show how the metho

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https://doi.org/10.1007/978-3-663-08140-1 transfer problems for duct flows. However, in most technical applications, problems are often described by nonlinear partial differential equations. The present chapter provides a short overview on some selected solution methods for nonlinear partial differential equations for heat transfer and flu

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