摘要
In this study, we address a new and simple non-iterative method to solve Cauchy problems of non-linear evolution equations without initial data. To start with, these ill-posed problems are analysed by utilizing a semi-discretization numerical scheme. Then, the resulting ordinary differential equations at the discretized times are numerically integrated towards the spatial direction by the group-preserving scheme (GPS). After that, we apply a two-stage GPS to integrate the semi-discretized equations. We reveal that the accuracy and stability of the new approach is very good from several numerical experiments even under a large random noisy effect and a very large time span.
原文 | English |
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頁(從 - 到) | 1653-1675 |
頁數 | 23 |
期刊 | Inverse Problems in Science and Engineering |
卷 | 25 |
發行號 | 11 |
DOIs | |
出版狀態 | Published - 2017 11月 2 |
All Science Journal Classification (ASJC) codes
- 一般工程
- 電腦科學應用
- 應用數學