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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/46893

Title: A Simple Spatial Integration Scheme for Solving Cauchy Problems of Non-linear Evolution Equations
Authors: Chih-Wen Chang;Chein-Shan Liu;Jiang-Ren Chang;Han-Taw Chen
Contributors: 國立臺灣海洋大學:系統工程暨造船學系
Date: 2017
Issue Date: 2018-06-08T08:34:06Z
Publisher: Journal Inverse Problems in Science and Engineering
Abstract: Abstract: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.
Relation: 25(11) pp.1653-1675
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/46893
Appears in Collections:[系統工程暨造船學系] 期刊論文

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