An implicit logarithmic finite-difference technique for two dimensional coupled viscous Burgers’ equation
Source abstract
Abstract
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.
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Research context
OpenAlex topics: Fractional Differential Equations Solutions · Nanofluid Flow and Heat Transfer · Computational Fluid Dynamics and Aerodynamics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Tracking and Command Network (ISTRAC) 1 ISRO Telemetry, , Bangalore-560058, India
University of Petroleum and Energy Studies 2 Department of Mathematics, , Dehradun-248007, India
WIT- Uttarakhand Technical University 3 Department of Mathematics, , Dehradun-248007, India
References (16)
Show source-provided references
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