Name
Title | ||
|---|---|---|
Modified quasi-boundary value method for a Cauchy problem of semi-linear elliptic equation |
Abstract | ||
|---|---|---|
In this paper, we investigate a Cauchy problem for the semi-linear elliptic equation. This problem is well known to be severely ill-posed and regularization methods are required. We use a modified quasi-boundary value method to deal with it, and a convergence estimate for the regularized solution is obtained under an a priori bound assumption for the exact solution. Finally, some numerical results show that our given method works well. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1080/00207160.2012.693174 | Int. J. Comput. Math. |
Keywords | Field | DocType |
exact solution,convergence estimate,modified quasi-boundary value method,numerical result,bound assumption,cauchy problem,semi-linear elliptic equation,regularized solution,regularization method,elliptic equation | Cauchy problem,Boundary value problem,Mathematical optimization,Mathematical analysis,Free boundary problem,Cauchy boundary condition,Cauchy's convergence test,Elliptic partial differential equation,Mathematics,Elliptic boundary value problem,Hyperbolic partial differential equation | Journal |
Volume | Issue | ISSN |
89 | 12 | 0020-7160 |
Citations | PageRank | References |
1 | 0.63 | 2 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| H. W. Zhang | 1 | 5 | 2.57 |