A NEW PSEUDOSPECTRAL APPROXIMATION FOR THE FOWARD-BACKWARD HEAT EQUATION

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (2): 121-128.

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A NEW PSEUDOSPECTRAL APPROXIMATION FOR THE FOWARD-BACKWARD HEAT EQUATION

叶兴德, 江金生

Dept. of Math. & Infor. Sci., Hangzhou University, Hangzhou 510028, China

收稿日期:1994-03-04 修回日期:1995-06-12 出版日期:1996-06-25 发布日期:1996-06-25
基金资助:
This work is supported partly by the National Science Foundation of Zhejiang Province and Science Foundation of Hangzhou University

A NEW PSEUDOSPECTRAL APPROXIMATION FOR THE FOWARD-BACKWARD HEAT EQUATION

Ye Xingde, Jiang Jinsheng

Dept. of Math. & Infor. Sci., Hangzhou University, Hangzhou 510028, China

Received:1994-03-04 Revised:1995-06-12 Online:1996-06-25 Published:1996-06-25
Supported by:
This work is supported partly by the National Science Foundation of Zhejiang Province and Science Foundation of Hangzhou University

摘要/Abstract

摘要： In this paper,we propose a new numerical method which is a least squares approximaton based on pseudospectral method for the Forward-Backward heat equation. The existence and uniqueness of the solution of the least squares approximation are proved. Error estimates for this approximation are given,which show that tile order of convergence depends only on the regularity of tile solution and the right hand of the Forward-Backward heat equation.

关键词: Forward-Backward, heat equation, pseudospectral method, the least squares method

Abstract: In this paper,we propose a new numerical method which is a least squares approximaton based on pseudospectral method for the Forward-Backward heat equation. The existence and uniqueness of the solution of the least squares approximation are proved. Error estimates for this approximation are given,which show that tile order of convergence depends only on the regularity of tile solution and the right hand of the Forward-Backward heat equation.

Key words: Forward-Backward, heat equation, pseudospectral method, the least squares method

叶兴德, 江金生. A NEW PSEUDOSPECTRAL APPROXIMATION FOR THE FOWARD-BACKWARD HEAT EQUATION[J]. 数学物理学报(英文版), 1996, 16(2): 121-128.

Ye Xingde, Jiang Jinsheng. A NEW PSEUDOSPECTRAL APPROXIMATION FOR THE FOWARD-BACKWARD HEAT EQUATION[J]. Acta mathematica scientia,Series B, 1996, 16(2): 121-128.

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A NEW PSEUDOSPECTRAL APPROXIMATION FOR THE FOWARD-BACKWARD HEAT EQUATION

A NEW PSEUDOSPECTRAL APPROXIMATION FOR THE FOWARD-BACKWARD HEAT EQUATION

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