Solution of parabolic equations using an eigenvalue method for time advancement (Q1323737)
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scientific article; zbMATH DE number 580042
| Language | Label | Description | Also known as |
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| English | Solution of parabolic equations using an eigenvalue method for time advancement |
scientific article; zbMATH DE number 580042 |
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Solution of parabolic equations using an eigenvalue method for time advancement (English)
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1 June 1994
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When the usual longitudinal line method is used to solve the heat equation under Dirichlet boundary conditions, the resulting inhomogeneous linear system of ordinary differential equations can be solved in closed form. (The authors call this the ``eigenvalue method''.) In the paper, derivation of the closed form solution is given in great detail. Also, numerical results for two test problems are given.
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eigenvalue method
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longitudinal line method
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heat equation
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closed form solution
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numerical results
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test problems
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0.89426434
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0.88119906
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0.87848467
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0.8779902
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