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Title: An implicit logarithmic finite-difference technique for two dimensional coupled viscous Burgers’ equation

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.
Authors:
 [1] ;  [2] ;  [3]
  1. ISRO Telemetry, Tracking and Command Network (ISTRAC), Bangalore-560058 (India)
  2. Department of Mathematics, University of Petroleum and Energy Studies, Dehradun-248007 (India)
  3. Department of Mathematics, WIT- Uttarakhand Technical University, Dehradun-248007 (India)
Publication Date:
OSTI Identifier:
22251773
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Advances; Journal Volume: 3; Journal Issue: 12; Other Information: (c) 2013 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; FINITE DIFFERENCE METHOD; MATHEMATICAL SOLUTIONS; TIME DEPENDENCE; TWO-DIMENSIONAL CALCULATIONS