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Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/15822

Title: 可調適網格解的穩定性及收斂性分析
Stability and Convergence of an Adaptive Technique for Nonlinear Parabolic Equations
Authors: 周忠強
Contributors: 數學系
Keywords: 可調適網格解;非線性拋物線方程式;Burgers方程式;預測-修正法;隱定性;收斂性
Adaptive Methods;Nonlinear Parabolic Partial Differential Equations;Burgers Equation;Predictor-Correction Method;Stability;Convergence
Date: 2000
Issue Date: 2013-03-12T04:08:51Z
Publisher: 行政院國家科學委員會
Abstract: 基本上,本計畫為前一年計畫(89-2115-M-018-013)的延續。於前一個計畫已經成功地發展出可調適網格解,並帳明他對於現性拋物線型偏微分方程式具有穩定及收斂的性質。在此計劃我們證明他對於非線性拋物線方程式亦具有問定及收斂性質。同時也以數個實例來佐證此方法的有效性。
This project is a (89-2115-M-018-013) supported by National Science Council. In the project, we have successfully developed a fully adaptive method for solving one-dimensional parabolic mixed initial-boundary value problems. Also, we proved the stability and convergence of the numerical method on linear parabolic equations. In this project, we probe the stability and convergence of an adaptive technique for nonlinear parabolic equations. In addition, numerical examples are given to exemplify the usefulness of the adaptive technique.
Relation: 國科會計畫, 計畫編號: NSC89-2115-M018-023; 研究期間: 8908-9007
Appears in Collections:[數學系] 國科會計畫

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