A Numerical Approximation of 2D Coupled Burgers’ Equation Using Modified Cubic Trigonometric B-Spline Differential Quadrature Method

Q3 Chemical Engineering

International Journal of Applied Mechanics and Engineering Pub Date : 2022-08-29 DOI:10.2478/ijame-2022-0037

Mamta Kapoor, V. Joshi

引用次数: 0

Abstract

Abstract In the present paper, trigonometric B-spline DQM is applied to get the approximated solution of coupled 2D non-linear Burgers’ equation. This technique, named modified cubic trigonometric B-spline DQM, has been used to obtain accurate and effective numerical approximations of the above-mentioned partial differential equation. For checking the compatibility of results, different types of test examples are discussed. A comparison is done between L2 and L∞ error norms with the previous, present results and with the exact solution. The resultant set of ODEs has been solved by employing the SSP RK 43 method. It is observed that the obtained results are improved compared to the previous numerical results in the literature.

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二维耦合Burgers方程的修正三次三角b样条微分积分法数值逼近

摘要本文应用三角b样条DQM方法，得到二维非线性耦合Burgers方程的近似解。这种被称为修正三次三角b样条DQM的方法已被用于对上述偏微分方程进行精确有效的数值逼近。为了检查结果的兼容性，讨论了不同类型的测试实例。比较了L2和L∞误差范数与以前、现在的结果和精确解。利用SSP rk43方法求解得到的ode集合。与以往文献中的数值结果相比，所得到的结果有了很大的改进。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Applied Mechanics and Engineering Engineering-Civil and Structural Engineering

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

35 weeks

期刊介绍： INTERNATIONAL JOURNAL OF APPLIED MECHANICS AND ENGINEERING is an archival journal which aims to publish high quality original papers. These should encompass the best fundamental and applied science with an emphasis on their application to the highest engineering practice. The scope includes all aspects of science and engineering which have relevance to: biomechanics, elasticity, plasticity, vibrations, mechanics of structures, mechatronics, plates & shells, magnetohydrodynamics, rheology, thermodynamics, tribology, fluid dynamics.