IMPLEMENTATION OF THE DIFFERENCE SCHEME FOR ABSORPTION EQUATION TYPE PROBLEMS APPLYING PARALLEL COMPUTING TECHNOLOGIES

Authors

  • Maksims Zigunovs Turība University (LV)

DOI:

https://doi.org/10.17770/etr2021vol2.6633

Keywords:

Parabolic equation, difference scheme, boundary conditions, parallel calculation

Abstract

This paper describes a way of parallel algorithm technology usage for analyzing physical processes parabolic differential problems on the surface. This analysis determine the temperature distribution on the surface. Such analysis can fit calculation of Maxwell and Maxwell-Stokes equations and can be focused on mathematical models that can be reduced to the absorption or diffusion-convection-reaction equations with the initial and boundary conditions of different order (1st, 2nd, 3rd order of boundary conditions). Parallel computing technologies usage provides an acceleration possibilities of mentioned calculations in different way and effect depending of parallel technology type and method combinations used during the calculations.

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References

I.J.D. Graig, A.D.Sneyd (1988), AN ALTERNATING-DIRECTION IMPLICIT SCHEME FOR PARABOLIC EQUATIONS WITH MIXED DERIVATIVES, Comput. Math. Applic. Vol. 16, No. 4, pp. 341-350.

F. MAMPAEY (1989), A numerical technique to increase the stability of the ADI method in solidification simulation, Journal of Computational and Applied Mathematics 28 297-308.

Siegfried Benkner, Viera Sipkova (2003), Exploiting Distributed-Memory and Shared-Memory Parallelism on Clusters of SMPs with Data Parallel Programs, International Journal of Parallel Programming,Vol.31, No.1, February.

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Published

2021-06-17

How to Cite

[1]
M. Zigunovs, “IMPLEMENTATION OF THE DIFFERENCE SCHEME FOR ABSORPTION EQUATION TYPE PROBLEMS APPLYING PARALLEL COMPUTING TECHNOLOGIES”, ETR, vol. 2, pp. 210–213, Jun. 2021, doi: 10.17770/etr2021vol2.6633.