MA61031: Similarity Transformations And Perturbation
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| MA61031 | |
|---|---|
| Course name | Similarity Transformations and Perturbation |
| Offered by | Mathematics |
| Credits | 4 |
| L-T-P | 3-1-0 |
| Previous Year Grade Distribution | |
| {{{grades}}} | |
| Semester | {{{semester}}} |
Syllabus
Syllabus mentioned in ERP
Prerequisite: Partial Differential EquationsGeneral dimensional theory, Global similarity transformations, Transformation Groups, Infinitesimal Transformations, Invariant Functions, Prolongation and Invariance of Differential Equations (ODE and PDE), Invariant Solutions (Similarity Solutions) . Parameter Perturbations, Coordinate Perturbations, Order Symbols and Gauge Functions, Asymptotic Expansions and Sequences, Straightforward expansions and sources of non-uniformity, Type change of a PDE, Method of Strained Coordinates, Method of matched and composite asymptotic expansions, Variation of parameters, Method of Multiple Scales.