A Mathematical Model and Numerical Solution of a One Dimensional Steady State Heat Conduction Problem by Using High Order Immersed Interface Method on Non- Uniform Mesh

نویسندگان

  • Manoj Kumar
  • Pratibha Joshi
چکیده

Abstract: Elliptic interface problems arise in various areas of science and engineering. The steady state heat conduction in layered bodies is one of the largest areas of application of elliptic interface problems. In this paper, a mathematical model and solution of a one dimensional elliptic interface problem which represents a steady state heat conduction problem in composite medium have been discussed by using high order immersed interface method on non uniform mesh. Numerical results show good agreement with exact solution.

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تاریخ انتشار 2012