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The Big Three PDEs
| Content Provider | Scilit |
|---|---|
| Author | Coleman, Matthew P. |
| Copyright Year | 2016 |
| Description | In this chapter we begin to look at the “Big Three PDEs”—the heat equation (or diffusion equation), the wave equation and Laplace's equation (or the potential equation)—each in two independent variables. Each is a secondorder, linear, homogeneous PDE with constant coefficients. The general such equation is auxx + buxy + cuyy + dux + fuy + gu = 0, (2.1) where, again, u = u(x, y) and, of course, a, b, c, d, f and g are constants. We study equation (2.1) in detail in Section 5.4. In particular, there we'll classify these equations as in the following definition and give reasons for such a classification. Book Name: An Introduction to Partial Differential Equations with MATLAB |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2011-0-15746-3&isbn=9780429112317&doi=10.1201/b15058-8&format=pdf |
| Ending Page | 90 |
| Page Count | 34 |
| Starting Page | 57 |
| DOI | 10.1201/b15058-8 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2016-04-19 |
| Access Restriction | Open |
| Subject Keyword | Book Name: An Introduction to Partial Differential Equations with MATLAB History and Philosophy of Science |
| Content Type | Text |
| Resource Type | Chapter |
