非线性耦合Burgers方程的指数三次B样条算法

IF 1.1 Q2 MATHEMATICS, APPLIED

Computational Methods for Differential Equations Pub Date : 2021-01-05 DOI:10.22034/CMDE.2020.39486.1727

Ozlem Ersoy Hepson, I. Dag

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引用次数: 0

摘要

采用基于指数三次B样条（ECB样条）和Crank-Nicolson公式的配置方法求解非线性耦合Burgers方程。通过研究三个不同的问题来检验这种方法。将所提出的方案与现有的一些方法进行了比较。textbf通过适当选择ECB样条函数的自由参数，产生了准确的结果。它能产生准确的结果。通过Von Neumann分析研究了完全离散CBE的稳定性。

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An Exponential Cubic B-spline Algorithm for the Nonlinear Coupled Burgers' Equation

The collocation method based on the exponential cubic B-splines (ECB-splines) together with the Crank-Nicolson formula is used to solve nonlinear coupled Burgers' equation (CBE). This method is tested by studying three different problems. The proposed scheme is compared with some existing methods. textbf{It produced accurate results }with the suitable selection of the free parameter of the ECB-spline function. It produces accurate results. Stability of the fully discretized CBE is investigated by the Von Neumann analysis.

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来源期刊

Computational Methods for Differential Equations MATHEMATICS, APPLIED-

CiteScore

2.20

自引率

27.30%

发文量

审稿时长

4 weeks