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Proceedings of
International Conference on Recent Trends in Computing and Communication Engineering RTCCE 2013
"A NUMERICAL SOLUTION OF BURGERS\' EQUATION BASED ON MULTIGRID METHOD"
DEBASISH PRADHAN
MURARI SHARAN
DOI
10.15224/978-981-07-6184-4-46
Pages
213 - 217
Authors
2
ISBN
978-981-07-6184-4
Abstract: “In this article we discussed the numerical solution of Burgers’ equation using multigrid method. We used implicit method for time discritization and Crank-Nicolson scheme for space discritization for fully discrete scheme. For improvement we used Multigrid method in fully discrete solution. And also Multigrid method accelerates convergence of a basics iterative method by global correction. Numerical results confirm our theoretical results”
Keywords: multigrid method, V cycle, Burgers’ equation, numerical scheme, Taylor series.