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Iterative solution and finite difference approximations to 3D microscale heat transport equation

Author

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  • Zhang, Jun
  • Zhao, Jennifer J.

Abstract

Numerical techniques are proposed to solve a 3D time dependent microscale heat transport equation. A second-order finite difference scheme in both time and space is introduced and the unconditional stability of the finite difference scheme is proved. A computational procedure is designed to solve the resulting sparse linear system at each time step with a few iterative methods and their performances are compared experimentally. Numerical experiments are presented to demonstrate the accuracy of the finite difference scheme and the efficiency of the proposed computational procedure.

Suggested Citation

  • Zhang, Jun & Zhao, Jennifer J., 2001. "Iterative solution and finite difference approximations to 3D microscale heat transport equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 57(6), pages 387-404.
    • Handle: RePEc:eee:matcom:v:57:y:2001:i:6:p:387-404
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