The existence and uniqueness of solution to wavelet collocation
The study of the numerical solutions of PDEs with wavelet collocation has yielded a number of substantial results. However, the existence and uniqueness of solution has not been discussed yet. In this paper, the existence and uniqueness of solution to wavelet collocation for elliptic equations is es...
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| Veröffentlicht in: | Applied mathematics and computation 2014-03, Vol.231, p.63-72 |
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| container_title | Applied mathematics and computation |
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| creator | Qin, Xinqiang Fang, Baoyan Tian, Shuangliang Tong, Xiaohong Wang, Zhigang Su, Lijun |
| description | The study of the numerical solutions of PDEs with wavelet collocation has yielded a number of substantial results. However, the existence and uniqueness of solution has not been discussed yet. In this paper, the existence and uniqueness of solution to wavelet collocation for elliptic equations is established and discussed. Moreover, wavelet collocation is applied to numerical example to examine its appropriateness. According to numerical example and analysis, it is seen that the existence and uniqueness of solution of this paper is feasible, and the new theory is meaningful for developing wavelet collocation. |
| doi_str_mv | 10.1016/j.amc.2013.12.106 |
| format | Article |
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| ispartof | Applied mathematics and computation, 2014-03, Vol.231, p.63-72 |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Collocation Computation Elliptic equations Existence and uniqueness of solution Mathematical analysis Mathematical models Partial differential equations Quasi-Shannon scaling function Scaling function Uniqueness Wavelet Wavelet collocation Wavelet methods |
| title | The existence and uniqueness of solution to wavelet collocation |
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