Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme | Zendy

Vineet K. Srivastava | Zendy; Sarita Singh | Zendy; Mukesh Kumar Awasthi | Zendy

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Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme

Author(s) -

Vineet K. Srivastava,

Sarita Singh,

Mukesh Kumar Awasthi

Publication year - 2013

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4820355

Subject(s) - burgers' equation , nonlinear system , finite difference method , finite difference , mathematics , scheme (mathematics) , numerical analysis , exponential function , boundary value problem , finite difference scheme , boundary (topology) , mathematical analysis , partial differential equation , physics , quantum mechanics

In this paper, an implicit exponential finite-difference scheme (Expo FDM) has been proposed for solving two dimensional nonlinear coupled viscous Burgers’ equations (VBEs) with appropriate initial and boundary conditions. The accuracy of the method has been illustrated by taking two numerical examples. Results are compared with exact solution and those already available in the literature by finding the L1, L2, L∞ and ER errors. Excellent numerical results indicate that the proposed scheme is efficient, reliable and robust technique for the numerical solutions of Burgers’ equation

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