Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme
Source abstract
Abstract
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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Research context
OpenAlex topics: Differential Equations and Numerical Methods · Fractional Differential Equations Solutions · Numerical methods for differential equations
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Affiliations
Tracking and Command Network (ISTRAC) 1 ISRO Telemetry, , Bangalore-560058, India
WIT-Uttarakhand Technical University 2 Department of Mathematics, , Dehradun-248007, India
University of Petroleum & Energy Studies 3 Department of Mathematics, , Dehradun-248007, India
References (13)
Show source-provided references
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