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New stable group explicit finite difference method for solution of diffusion equation

Tavakoli, R ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1016/j.amc.2006.03.005
  3. Publisher: 2006
  4. Abstract:
  5. A new group explicit method for solution of diffusion equation is presented. This method is based on domain decomposition concept and using asymmetric Saul'yev schemes for internal nodes of each sub-domain and alternating group explicit method for sub-domain's interfacial nodes. This new method has several advantages such as: good parallelism, unconditional stability, fully explicit nature and better accuracy than original Saul'yev schemes. The details of implementation and proving stability are briefly discussed. Numerical experiments on stability and accuracy are also presented. © 2006 Elsevier Inc. All rights reserved
  6. Keywords:
  7. Computation theory ; Diffusion ; Problem solving ; Alternating group explicit ; Diffusion equations ; Domain decomposition ; Heat equations ; Parallel difference scheme ; Saul'yev schemes ; Unconditionally stable ; Finite difference method
  8. Source: Applied Mathematics and Computation ; Volume 181, Issue 2 , 2006 , Pages 1379-1386 ; 00963003 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0096300306002566