Classroom Tips and Techniques: Eigenvalue Problems for ODEs - Part 3 - Maple Application Center
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Application Center Applications Classroom Tips and Techniques: Eigenvalue Problems for ODEs - Part 3

Classroom Tips and Techniques: Eigenvalue Problems for ODEs - Part 3

Author
: Maplesoft AuthorDr. Robert Lopez
6
Engineering software solutions from Maplesoft
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In this third of a three-part article, we use Maple to separate variables in a partial differential equation, then show how to obtain a solution of the resulting Sturm-Liouville eigenvalue problem. The PDE is Laplace's equation in a sphere, and separation of variables leads to an eigenvalue problem involving Legendre's equation. We solve this singular Sturm-Liouville eigenvalue problem for the case of the homogeneous Dirichlet boundary condition, and for the two cases of azimuthal symmetry and asymmetry.

Application Details

Publish Date: July 30, 2007
Created In: Maple 11
Language: English
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Maple Tips & Techniques

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algebra eigenvalues pde

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