Parametric spline functions for the solution of the one time fractional Burgers' equation

Talaat S. El-Danaf; Adel R. Hadhoud

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Parametric spline functions for the solution of the one time fractional Burgers' equation

机译：参数样条函数用于求解一阶分数Burgers方程

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This paper aims to present a general framework of the cubic parametric spline functions to develop a numerical method for obtaining an approximate solution for the time fractional Burgers' equation. The truncation error of the method is theoretically analyzed. Using Von Neumann method, the proposed method is also shown to be conditionally stable. Two numerical examples are then included to illustrate the practical implementation of the proposed method. The obtained results reveal that the proposed technique is very effective, convenient and quite accurate to such considered problems.

机译：本文旨在提出三次参数样条函数的一般框架，以开发一种数值方法来获得时间分数Burgers方程的近似解。从理论上分析了该方法的截断误差。使用冯·诺依曼方法，所提出的方法也被证明是条件稳定的。然后包括两个数值示例，以说明所提出方法的实际实现。获得的结果表明，所提出的技术对于这样考虑的问题非常有效，方便并且非常准确。

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来源
《Applied Mathematical Modelling》 |2012年第10期|p.4557-4564|共8页
作者
Talaat S. El-Danaf; Adel R. Hadhoud;
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作者单位

Department of Mathematics, Faculty of Science, Menoufyia University. Shebeen El-Koom, Egypt;

Department of Mathematics, Faculty of Science, Menoufyia University. Shebeen El-Koom, Egypt;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
parametric spline functions; fractional burgers' equation; von neumann stability;

机译：参数样条函数;分数汉堡方程;冯·诺依曼稳定性;

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Parametric spline functions for the solution of the one time fractional Burgers' equation

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