A Numerical Approximation of 2D Coupled Burgers’ Equation Using Modified Cubic Trigonometric B-Spline Differential Quadrature Method-Reference-Cited by-同舟云学术

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

Published:2022-08-29 Issue:3 Volume:27 Page:79-102
ISSN:2353-9003
Container-title:International Journal of Applied Mechanics and Engineering
language:en
Short-container-title:

Author:

Kapoor Mamta¹,Joshi Varun¹

Affiliation:

1. Department of Mathematics , Lovely Professional University , Punjab , , India

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/ijame-2022-0037

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