A direct method to calculate characteristic forms
We propose a method to obtain characteristic curves, Riemann variables, and characteristic forms for a partial differential system of hyperbolic waves and a first order quasi-linear partial differential equations. The method is based on a construction of a left eigenvector of a matrix from eigenvalu...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818122000262 |
| Summary: | We propose a method to obtain characteristic curves, Riemann variables, and characteristic forms for a partial differential system of hyperbolic waves and a first order quasi-linear partial differential equations. The method is based on a construction of a left eigenvector of a matrix from eigenvalues of the matrix and some auxiliary matrixes, or some determinants. When applying to a system with no more than 4 dependent variable, the proposed method is numerically stable. An example of flood waves shows how to apply the proposed method. |
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| ISSN: | 2666-8181 |