Name
Title | ||
|---|---|---|
A solution method for autonomous first-order algebraic partial differential equations |
Abstract | ||
|---|---|---|
In this paper we present a procedure for solving first-order autonomous algebraic partial differential equations in an arbitrary number of variables. The method uses rational parametrizations of algebraic (hyper)surfaces and generalizes a similar procedure for first-order autonomous ordinary differential equations. In particular we are interested in rational solutions and present certain classes of equations having rational solutions. However, the method can also be used for finding non-rational solutions. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.cam.2015.12.030 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
68W30,35F20,35A30,14J70 | Mathematical optimization,Theory of equations,Separable partial differential equation,Mathematical analysis,Algebraic differential equation,Differential algebraic geometry,Numerical partial differential equations,Differential algebraic equation,Stochastic partial differential equation,Collocation method,Mathematics | Journal |
Volume | Issue | ISSN |
300 | C | 0377-0427 |
Citations | PageRank | References |
3 | 0.42 | 11 |
Authors | ||
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 | 207 | 26.00 |