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Quartic spline methods for solving one-dimensional telegraphic equations

delete2010-04-01
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PRE
AI
L
Libin Liu *
H
Huan‐Wen Liu
DOI:10.1016/j.amc.2010.01.110delete
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摘要

摘要

En 中文
In this paper, by using a quartic spline in space and generalized trapezoidal formula in time direction, one-dimensional telegraphic equations are solved. We present new classes of two-level schemes. The accuracy of these methods are O(k(2) + h(4)). It has been shown that by suitably choosing parameter, a high accuracy scheme of O(k(3) + h(4)) can be derived from our methods. Numerical results demonstrate the superiority of the new scheme. (C) 2010 Elsevier Inc. All rights reserved.
Keyword:
Quartic spline
Telegraphic equation
Generalized trapezoidal
Difference scheme
Unconditionally stable

期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

机构

C
Chizhou University
学者数:
477
论文数: 371
被引数: 326
G
guangxi minzu university
学者数:
3.4K
论文数: 2.2K
被引数: 59
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