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Partial Differential Equations (PDEs)

New Mexico Tech Hyd 510 Hydrology Program Quantitative Methods in Hydrology -167- Partial Differential Equations (PDEs) This is new material , mainly presented by the notes, supplemented by Chap 1 from Celia and Gray (1992) to be posted on the web , and Chapter 12 and related numerics in Chap. 21 in Kreyszig. Fundamentals of Partial Differential Equations We ll first examine the motivation for studying PDEs, then examine their nature and classification, and finally talk about various solution methods. Recall that the basic attribute of a PDE is that it has two or more independent variables. In most applications these represent time and space. We have one time dimension and up to three space dimensions. These independent variables can be present in any combination, but at least two of them must be present to be considered a PDE.

Partial Differential Equations (PDEs) This is new material, mainly presented by the notes, supplemented by Chap 1 from Celia and Gray (1992) –to be posted on the web– , and Chapter 12 and related numerics in Chap. 21 in Kreyszig. Fundamentals of Partial Differential Equations

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