One-dimensional coupled Burgers’ equation and its numerical solution by an implicit logarithmic finite-difference method
Source abstract
Abstract
In this paper, an implicit logarithmic finite difference method (I-LFDM) is implemented for the numerical solution of one dimensional coupled nonlinear Burgers’ equation. The numerical scheme provides a system of nonlinear difference equations which we linearise using Newton's method. The obtained linear system via Newton's method is solved by Gauss elimination with partial pivoting algorithm. To illustrate the accuracy and reliability of the scheme, three numerical examples are described. The obtained numerical solutions are compared well with the exact solutions and those already available.
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Research context
OpenAlex topics: Nonlinear Waves and Solitons · Fractional Differential Equations Solutions · Differential Equations and Numerical Methods
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Tracking and Command Network (ISTRAC) 1 ISRO Telemetry, , Bangalore-560058, India
Graphic Era University 2 Department of Mathematics, , Dehradun-248002, India
University of petroleum and Energy Studies 3 Department of Mathematics, , Dehradun-248007, India
WIT-Uttarakhand Technical University 4 Department of Mathematics, , Dehradun-248007, India
References (24)
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