A UNIFIED FINITE DIFFERENCE CHEBYSHEV WAVELET METHOD FOR NUMERICALLY SOLVING TIME FRACTIONAL BURGERS' EQUATION

OEMER ORUC; ALAATTIN ESEN; FATIH BULUT

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A UNIFIED FINITE DIFFERENCE CHEBYSHEV WAVELET METHOD FOR NUMERICALLY SOLVING TIME FRACTIONAL BURGERS' EQUATION

机译：一种统一的有限差异Chebyshev小波方法，用于数值分数汉堡的等式

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摘要

In this paper, we developed a unified method to solve time fractional Burgers' equation using the Chebyshev wavelet and L1 discretization formula. First we give the preliminary information about Chebyshev wavelet method, then we describe time discretization of the problems under consideration and then we apply Chebyshev wavelets for space discretization. The performance of the method is shown by three test problems and obtained results compared with other results available in literature.

机译：在本文中，我们开发了一种使用Chebyshev小波和L1离散化公式来解决时间分数汉堡的方程的统一方法。首先，我们提供有关Chebyshev小波法的初步信息，然后我们描述了所考虑的问题的时间离散化，然后我们应用Chebyshev小波进行空间离散化。该方法的性能由三个测试问题显示，并与文献中可用的其他结果相比，得到的结果。

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来源
《Discrete and continuous dynamical systems▼hSeries S》 |2019年第3期|533-542|共10页
作者
OEMER ORUC; ALAATTIN ESEN; FATIH BULUT;
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作者单位

Egil Vocational and Technical Anatolian High School Diyarbakır Turkey;

Inonu University Department of Mathematics Malatya Turkey;

Inonu University Department of Physics Malatya Turkey;

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原文格式 PDF
正文语种 eng
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关键词
Chebyshev wavelet method; Burgers'equation; numerical solution;

机译：Chebyshev小波法;汉堡数值解决方案;

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A UNIFIED FINITE DIFFERENCE CHEBYSHEV WAVELET METHOD FOR NUMERICALLY SOLVING TIME FRACTIONAL BURGERS' EQUATION

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