Solving Ordinary Differential Equation Using Parallel Fourth Order Runge-Kutta Method With Three Processors

Authors

  • Iman Al Fajri Hasanuddin University
  • Hendra Mesra Faculty of Mathematics and Natural Science in Hasanuddin University
  • Jeffry Kusuma Faculty of Mathematics and Natural Science in Hasanuddin University

DOI:

https://doi.org/10.20956/j.v17i3.12490

Keywords:

Fourth Order Runge-Kutta Method, Parallel Algorithm, Sequential Algorithm

Abstract

This paper presents a derivation of the Runge-Kutta or fourth method with six stages suitable for parallel implementation. Development of a parallel model based on the sparsity structure of the fourth type Runge-Kutta which is divided into three processors. The calculation of the parallel computation model and the sequential model from the accurate side shows that the sequential model is better. However, generally, the parallel method will end the analytic solution by increasing the number of iterations. In terms of execution time, parallel method has advantages over sequential method.

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References

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Published

2021-05-12

Issue

Section

Research Articles