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[01848] A Higher Order Schwarz Domain Decomposition Method for Singularly Perturbed Differential Equation

  • Session Time & Room : 2D (Aug.22, 15:30-17:10) @E702
  • Type : Contributed Talk
  • Abstract : We consider a fourth order singularly perturbed differential equation. To solve the problem, the differential equation is transformed into a coupled system of singularly perturbed differential equations. The original domain is divided into three overlapping subdomains. On the regular subdomain, a hybrid scheme is used, while a compact fourth order difference scheme is used on the two boundary layer subdomains on a uniform mesh. We demonstrate that proposed scheme is nearly fourth order uniformly convergent.
  • Classification : 65M06
  • Format : Online Talk on Zoom
  • Author(s) :
    • AAKANSHA AAKANSHA (Indian Institutes of Technology (Banaras Hindu University) Varanasi)