The parallel three-processor fifth-order diagonally implicit Runge-Kutta methods for solving ordinary differential equations

Ummul Khair Salma Din, F. Ismail, M. Suleiman, Z. A. Majid, M. Othman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Fifth-order diagonally implicit Runge-Kutta methods with a modified sparsity structure suitable for parallel implementations on three processors are developed. The efficiency of the methods in terms of accuracy to solve a standard set of problems is compared to an established method. From the results we can conclude the new methods are comparable to the existing method.

Original languageEnglish
Title of host publicationLecture Notes in Electrical Engineering
Pages55-66
Number of pages12
Volume11
DOIs
Publication statusPublished - 2009

Publication series

NameLecture Notes in Electrical Engineering
Volume11
ISSN (Print)18761100
ISSN (Electronic)18761119

Fingerprint

Runge Kutta methods
Ordinary differential equations

Keywords

  • Fifth-order diagonally implicit Runge-Kutta methods
  • Ordinary differential equations
  • Parallelism
  • Sparsity structure

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering

Cite this

Din, U. K. S., Ismail, F., Suleiman, M., Majid, Z. A., & Othman, M. (2009). The parallel three-processor fifth-order diagonally implicit Runge-Kutta methods for solving ordinary differential equations. In Lecture Notes in Electrical Engineering (Vol. 11, pp. 55-66). (Lecture Notes in Electrical Engineering; Vol. 11). https://doi.org/10.1007/978-0-387-76483-2_5

The parallel three-processor fifth-order diagonally implicit Runge-Kutta methods for solving ordinary differential equations. / Din, Ummul Khair Salma; Ismail, F.; Suleiman, M.; Majid, Z. A.; Othman, M.

Lecture Notes in Electrical Engineering. Vol. 11 2009. p. 55-66 (Lecture Notes in Electrical Engineering; Vol. 11).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Din, UKS, Ismail, F, Suleiman, M, Majid, ZA & Othman, M 2009, The parallel three-processor fifth-order diagonally implicit Runge-Kutta methods for solving ordinary differential equations. in Lecture Notes in Electrical Engineering. vol. 11, Lecture Notes in Electrical Engineering, vol. 11, pp. 55-66. https://doi.org/10.1007/978-0-387-76483-2_5
Din UKS, Ismail F, Suleiman M, Majid ZA, Othman M. The parallel three-processor fifth-order diagonally implicit Runge-Kutta methods for solving ordinary differential equations. In Lecture Notes in Electrical Engineering. Vol. 11. 2009. p. 55-66. (Lecture Notes in Electrical Engineering). https://doi.org/10.1007/978-0-387-76483-2_5
Din, Ummul Khair Salma ; Ismail, F. ; Suleiman, M. ; Majid, Z. A. ; Othman, M. / The parallel three-processor fifth-order diagonally implicit Runge-Kutta methods for solving ordinary differential equations. Lecture Notes in Electrical Engineering. Vol. 11 2009. pp. 55-66 (Lecture Notes in Electrical Engineering).
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