A simple algorithm for solving Cauchy problem of nonlinear heat equation without initial value

被引：13

作者：

Liu, Chein-Shan ^{[1
]}

Chang, Chih-Wen ^{[2
]}

机构：

[1] Natl Taiwan Univ, Dept Civil Engn, Taipei 10617, Taiwan

[2] Natl Ctr High Performance Comp, Cloud Comp & Syst Integrat Div, Taichung 40763, Taiwan

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2015年 / 80卷

关键词：

Cauchy problem; Strongly ill-posed problem; Nonlinear sideways heat equation; Without initial condition; Group preserving scheme (GPS); GROUP PRESERVING SCHEME; BOUNDARY-ELEMENT METHOD; CONDUCTION PROBLEMS; FUNDAMENTAL SOLUTION; NUMERICAL-METHOD; WAVELETS; REGULARIZATION; SPECIFICATION; TEMPERATURE; MODEL;

D O I：

10.1016/j.ijheatmasstransfer.2014.09.053

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

We develop a novel yet simple non-iterative algorithm to solve Cauchy problem of nonlinear sideways heat equation without initial value. First, we transform the nonlinear heat conduction equation into a new one, including a spring term and a damping term, which can raise the accuracy of numerical solution. Then, we apply a two-stage group-preserving scheme to integrate the semi-discretized equations. Although under a large random noise, the accuracy and stability of the new method are assured from numerical tests. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：562 / 569

页数：8

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