Sunil Kumbhar

Sunil Kumbhar
Shivaji University, Kolhapur · Department of Mathematics

MSc., Ph.D.

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Citations since 2016
1 Research Item
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20162017201820192020202120220.00.20.40.60.81.0
20162017201820192020202120220.00.20.40.60.81.0
20162017201820192020202120220.00.20.40.60.81.0
20162017201820192020202120220.00.20.40.60.81.0

Publications

Publication (1)
Article
Full-text available
In this paper second order explicit Galerkin finite element method based on cubic B-splines is constructed to compute numerical solutions of one dimensional nonlinear forced Burgers' equation. Taylor series expansion is used to obtain time discretization. Galerkin finite element method is set up for the constructed time discretized form. Stability...

Questions

Question (1)
Question
In FEM for the solution of the 1-D Initial Boundary Value Problem, after assembly of elemental matrices I get the system of linear  equations in unknown parameters. When I impose the given boundary conditions then the resulting system becomes over determined. If I remove the first and last equations (whose contribution is on the boundary of the domain) from the resulting system then system is determined but the error in the solution grows up and it is experienced that on the boundary, solution oscillates as mesh is refined.

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