Multiple Transforms for Mathematical Physics Courses
| Autor: | W. G. N. Slinn |
|---|---|
| Rok vydání: | 1966 |
| Předmět: |
Examples of differential equations
Physics Partial differential equation Differential equation First-order partial differential equation Riccati equation General Physics and Astronomy Exact differential equation Hyperbolic partial differential equation Mathematical physics Separable partial differential equation |
| Zdroj: | American Journal of Physics. 34:93-97 |
| ISSN: | 1943-2909 0002-9505 |
| DOI: | 10.1119/1.1972856 |
| Popis: | Multiple transforms are used to solve five partial differential equations subject to boundary and initial conditions. The simplifications over single transforms that result are: the reduction of the original equation and boundary relations to a single algebraic equation, the removal of singularities in the transformed time plane (s plane) which do not originate from the physics of the problem and finally, the necessity for quoting a solution to an ordinary differential equation is removed. Because of these advantages, it is apparent that more attention should be paid to the method in mathematical physics courses. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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