On a three dimensional Cauchy problem for inhomogeneous Helmholtz equation associated with perturbed wave number
| Autor: | Phong Luu Hong, Triet Le Minh, Quan Pham Hoang |
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| Rok vydání: | 2018 |
| Předmět: |
Cauchy problem
Helmholtz equation Applied Mathematics Mathematical analysis Cauchy distribution 010103 numerical & computational mathematics 01 natural sciences 010101 applied mathematics Computational Mathematics Exact solutions in general relativity Hadamard transform Wavenumber Initial value problem 0101 mathematics Constant (mathematics) Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. 335:86-98 |
| ISSN: | 0377-0427 |
| Popis: | In recent years, the Cauchy problem for inhomogeneous Helmholtz equation (CPHE) is often considered as the wave number k is a constant number. At present, we investigate a three dimensional CPHE with inhomogeneous Cauchy conditions given at z = 0 while wave number k is perturbed. The problem is well-known to be ill-posed in the sense of Hadamard. Therefore, we regularize the problem by applying the truncation method and possess error estimate between the exact solution and the regularized solution. A numerical experiment is given for the purpose of illustrating our method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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