Name
Title | ||
|---|---|---|
Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction-diffusion equation with the location of moving front data. |
Abstract | ||
|---|---|---|
Asymptotic-numerical approach to solving the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction–diffusion equation by knowing the location of moving front data is proposed. Asymptotic analysis of the direct problem allows to reduce the original two-dimensional parabolic problem to a series of more simple equations with lower dimension for the determination of moving front parameters. It enables to associate the observed location of the moving front to the parameters which have to be identified. Numerical examples show the effectiveness of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.camwa.2018.11.005 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Coefficient inverse problem,Singularly perturbed problem,Interior and boundary layers,Reaction–diffusion–advection equation | Nonlinear system,Mathematical analysis,Parabolic problem,Inverse problem,Asymptotic analysis,Reaction–diffusion system,Mathematics | Journal |
Volume | Issue | ISSN |
77 | 5 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dmitry Lukyanenko | 1 | 0 | 2.70 |
| Valentin Grigorev | 2 | 0 | 0.34 |
| Vladimir Volkov | 3 | 0 | 0.68 |
| Maxim A. Shishlenin | 4 | 4 | 2.70 |