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Application of microprocessor networks for the solution of diffusion equation

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  • Paker, Yakup

Abstract

The availibility of low cost microprocessors, memories and ancilliary circuits has made the construction of large networks of such devices feasible where each microcomputer is dedicated to a specific task. The parallel computation of the diffusion equation is a particular application of such a multi-microcomputer network where each microcomputer simulates a given region and exchanges partial results with its neighbours. Structure of a network where each node consists of a microcomputer linked to other nodes by means of serial communication lines is described. The explicit finite difference algorithm is adapted for an 8-bit architecture most commonly available today. The algorithm is emulated on a minicomputer and the results presented. Availibility of processing power and memory at each node is significant for the simulation of non-linear problems which has been discussed. The significance of full parallelism where a microcomputer is allocated to each problem node and partial parallelism where a microcomputer simulates a number of nodes which form a region is covered.

Suggested Citation

  • Paker, Yakup, 1977. "Application of microprocessor networks for the solution of diffusion equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 19(1), pages 23-27.
    • Handle: RePEc:eee:matcom:v:19:y:1977:i:1:p:23-27
    DOI: 10.1016/0378-4754(77)90036-2
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