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Solution of linear systems by a singular perturbation technique
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Ardema, M. D. |
| Copyright Year | 1976 |
| Description | An approximate solution is obtained for a singularly perturbed system of initial valued, time invariant, linear differential equations with multiple boundary layers. Conditions are stated under which the approximate solution converges uniformly to the exact solution as the perturbation parameter tends to zero. The solution is obtained by the method of matched asymptotic expansions. Use of the results for obtaining approximate solutions of general linear systems is discussed. An example is considered to illustrate the method and it is shown that the formulas derived give a readily computed uniform approximation. |
| File Size | 1110756 |
| Page Count | 23 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19760019830 |
| Archival Resource Key | ark:/13960/t9h46hj0z |
| Language | English |
| Publisher Date | 1976-05-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Formulas Mathematics Linear Systems Perturbation Theory Approximation Differential Equations Asymptotic Methods Boundary Layers Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
