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Parallel Fourth-Order Runge-Kutta Method to Solve Differential Equations

  • Chunfeng Liu
  • Haiming Wu
  • Li Feng
  • Aimin Yang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7030)

Abstract

Through research for the method of serial classic fourth-order Runge-Kutta and based on the method, we construct Parallel fourth-order Runge-Kutta method in this paper, and used in the calculation of differential equation, then under the dual-core parallel, research the Parallel computing speedup and so on. By compared the results of traditional numerical algorithms and parallel numerical algorithms, the results show parallel numerical algorithms have high accuracy and computational efficiency in the dual-core environment.

Keywords

Differential equations Runge-Kutta method Parallel computing 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Chunfeng Liu
    • 1
  • Haiming Wu
    • 1
  • Li Feng
    • 1
  • Aimin Yang
    • 1
  1. 1.College of ScienceHebei United UniversityTangshanChina

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