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[01248] Reduction of Computational Cost with Optimal Accurate Approximation for Boundary Layer Originated Two Dimensional Coupled System of Convection Diffusion Reaction Problems

  • Session Time & Room : 2D (Aug.22, 15:30-17:10) @E702
  • Type : Contributed Talk
  • Abstract : In this talk, I will consider a generalized form of a coupled system of time dependent convection diffusion reaction problems having arbitrary small diffusion terms, which lead to boundary layers. The numerical approximations of these problems require adaptive mesh generation for uniformly convergent approximation. In the present talk, I will provide an algorithm which will reduce the computational cost of the system solver by converting the system of discrete equations to a tridiagonal matrix form. This approach together with an adaptive mesh generation technique will preserve the optimal convergence accuracy. This convergence is proved to be independent of diffusion terms magnitude.
  • Classification : 65M06, 65M50, 65N50, Computational Cost Reduction, Error Analysis, Adaptive Mesh Generation, Coupled System of Time Dependent PDEs, Two Dimension
  • Format : Online Talk on Zoom
  • Author(s) :
    • Pratibhamoy Das (Indian Institute of Technology Patna)
    • Pratibhamoy Das (Indian Institute of Technology Patna)
    • Shridhar Kumar (Indian Institute of Technology Patna)