Numerical Simulation of one dimensional Heat Equation: B-Spline Finite Element Method

Journal Title: Indian Journal of Computer Science and Engineering - Year 2011, Vol 2, Issue 2

Abstract

The comprehensive numerical study has been made here for the solution of One dimensional heat equation the Finite Element method is adopted for the solution with B-spline basis function the important finding of the present study is to understand the basics behind the FEM method while the B-spline basis function come into the picture here the solution is made using Quadratic B-spline and Cubic B-spline. Then for both the cases the solution is compare with analytical solution in which a good agreement is found between proposed technique. Along with that the simulation process is made using MATLAB programming in which the 3-Dimensional geometrical intrepitaion shown as a graphical presentation taken a different time steps as well as different domain of interest , the dirichlet boundary condition has been taken for the solution of this problem which is again a good achievement of the above work along with two test problem has been taken for the sake of convince. Finally the goal has been achieved in a simulation process.

Authors and Affiliations

V. Dabral. , S. Kapoor , S. Dhawan

Keywords

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  • EP ID EP85586
  • DOI -
  • Views 152
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How To Cite

V. Dabral. , S. Kapoor, S. Dhawan (2011). Numerical Simulation of one dimensional Heat Equation: B-Spline Finite Element Method. Indian Journal of Computer Science and Engineering, 2(2), 222-235. https://europub.co.uk/articles/-A-85586