A tau method for the one-dimensional parabolic inverse problem subject to temperature overspecification

被引：54

作者：

Dehghan, M.

Saadatmandi, A.

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran

[2] Inst Studies Theoret Phys & Math IPM, Thran, Iran

[3] Kashan Univ, Fac Sci, Dept Math, Kashan, Iran

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 52卷 / 6-7期

关键词：

inverse problem; control parameter; parabolic partial differential equations; shifted Legendre tau method; operational matrix;

D O I：

10.1016/j.camwa.2006.04.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, an approximational technique based on shifted Legendre-tau ideas is presented for the one-dimensional parabolic inverse problem with a control parameter. The method consists of expanding the required approximate solution as the elements of a shifted Legendre polynomial. Using the operational matrices we reduce the problem to a set of algebraic equations. A numerical example is included to demonstrate the validity and applicability of the technique and a comparison is made with existing results. The method is easy to implement and produces very accurate results. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：933 / 940

页数：8

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