Conquest 发表于 2025-3-25 03:59:22
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.ARIA 发表于 2025-3-25 10:23:35
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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.Sleep-Paralysis 发表于 2025-3-25 15:57:53
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.PANEL 发表于 2025-3-25 21:53:58
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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 seconEmbolic-Stroke 发表于 2025-3-26 07:36:39
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笨重 发表于 2025-3-26 10:58:58
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步履蹒跚 发表于 2025-3-26 14:39:56
8楼ectropion 发表于 2025-3-26 19:48:55
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