Open AccessSolving Ordinary Differential Equation Using Parallel Fourth Order Runge-Kutta Method With Three Processors
Author(s) -
Iman Al Fajri,
Hendra Mesra,
Jeffry Kusuma
Publication year - 2021
Publication title -
jurnal matematika, statistika dan komputasi/jurnal matematika statistik dan komputasi
Language(s) - English
Resource type - Journals
eISSN - 2614-8811
pISSN - 1858-1382
DOI - 10.20956/j.v17i3.12490
Subject(s) - runge–kutta methods , computer science , computation , ordinary differential equation , parallel computing , mathematics , differential equation , parallel algorithm , differential (mechanical device) , algorithm , mathematical analysis , aerospace engineering , engineering
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.