Numerical Approximation of Modified Burgers’ equation with modified cubic NUAH B-spline Differential quadrature method

Mamta Kapoor, Varun Joshi

doi:10.17762/pae.v57i9.2105

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Published: Dec 30, 2020

DOI: https://doi.org/10.17762/pae.v57i9.2105

Mamta Kapoor, Varun Joshi

Abstract

In the present paper, authors have implemented the “Modified cubic NUAH B-spline based DQM” to solve the Modified Burgers’ equation from numerical aspect. Modified cubic NUAH B-spline is incorporated to discretize the spatial partial derivatives. Modified Burgers’ equation is converted in to the ODE system, which later on is tackled by SSP-RK43 scheme. The numerical results of the proposed method are compared with some of the previous methods as well as with exact solution. The stability of proposed regime is verified by using “Matrix stability analysis method”.

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Vol. 57 No. 9 (2020): Volume 57 No. 9 (2020)

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