Name
Title | ||
|---|---|---|
Quasi-reversibility and truncation methods to solve a Cauchy problem for the modified Helmholtz equation |
Abstract | ||
|---|---|---|
In this paper, the Cauchy problem for the modified Helmholtz equation in a rectangular domain is investigated. We use a quasi-reversibility method and a truncation method to solve it and present convergence estimates under two different a priori boundedness assumptions for the exact solution. The numerical results show that our proposed numerical methods work effectively. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.matcom.2009.07.005 | Mathematics and Computers in Simulation |
Keywords | Field | DocType |
truncation method,quasi-reversibility method,rectangular domain,exact solution,modified helmholtz equation,numerical result,proposed numerical method,convergence estimates,cauchy problem,present convergence estimate,helmholtz equation | Cauchy problem,Exact solutions in general relativity,Truncation,Mathematical optimization,Mathematical analysis,Helmholtz equation,Initial value problem,Truncation error (numerical integration),Cauchy's convergence test,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
80 | 2 | Mathematics and Computers in Simulation |
Citations | PageRank | References |
4 | 0.95 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hai-Hua Qin | 1 | 8 | 1.97 |
| T. Wei | 2 | 87 | 18.96 |