An implicit logarithmic finite-difference technique for two dimensional coupled viscous Burgers’ equation
- Department of Mathematics, University of Petroleum and Energy Studies, Dehradun-248007 (India)
- Department of Mathematics, WIT- Uttarakhand Technical University, Dehradun-248007 (India)
This article describes a new implicit finite-difference method: an implicit logarithmic finite-difference method (I-LFDM), for the numerical solution of two dimensional time-dependent coupled viscous Burgers’ equation on the uniform grid points. As the Burgers’ equation is nonlinear, the proposed technique leads to a system of nonlinear systems, which is solved by Newton's iterative method at each time step. Computed solutions are compared with the analytical solutions and those already available in the literature and it is clearly shown that the results obtained using the method is precise and reliable for solving Burgers’ equation.
- OSTI ID:
- 22251773
- Journal Information:
- AIP Advances, Journal Name: AIP Advances Journal Issue: 12 Vol. 3; ISSN AAIDBI; ISSN 2158-3226
- Country of Publication:
- United States
- Language:
- English
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