Name
Abstract | ||
|---|---|---|
In this paper we present a general procedure for solving first-order autonomous algebraic partial differential equations in two independent variables. The method uses proper rational parametrizations of algebraic surfaces and generalizes a similar procedure for first-order autonomous ordinary differential equations. We will demonstrate in examples that, depending on certain steps in the procedure, rational, radical or even non-algebraic solutions can be found. Solutions computed by the procedure will depend on two arbitrary independent constants. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/978-3-319-10515-4_9 | COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, CASC 2014 |
Keywords | Field | DocType |
Partial differential equations, algebraic surfaces, rational parametrizations, radical parametrizations | Discrete mathematics,Algebraic number,Ordinary differential equation,Algebra,Mathematical analysis,Differential algebraic geometry,First-order partial differential equation,Numerical partial differential equations,Algebraic surface,Differential algebraic equation,Partial differential equation,Mathematics | Conference |
Volume | ISSN | Citations |
8660 | 0302-9743 | 2 |
PageRank | References | Authors |
0.41 | 9 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Georg Grasegger | 1 | 25 | 6.98 |
| Alberto Lastra | 2 | 6 | 1.18 |
| J. Rafael Sendra | 3 | 621 | 68.33 |
| Franz Winkler | 4 | 54 | 7.00 |