Article

Parallel fourth-order runge-kutta method to solve differential equations

Authors:

Chunfeng Liu,

Haiming Wu,

Li Feng,

Aimin YangAuthors Info & Claims

ICICA'11: Proceedings of the Second international conference on Information Computing and Applications

Pages 192 - 199

https://doi.org/10.1007/978-3-642-25255-6_25

Published: 01 October 2011 Publication History

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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.

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Published In

ICICA'11: Proceedings of the Second international conference on Information Computing and Applications

October 2011

772 pages

ISBN:9783642252549

Editors:
Baoxiang Liu
College of Science, Hebei United University, Xinhua West Road 46, Tangshan, Hebei, China
,
Chunlai Chai
School of Computer Science and Information Engineering, Zhejiang Gongshang University, Xueheng Street 18, Hangzhou, Hebei, China

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Springer-Verlag

Berlin, Heidelberg

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Published: 01 October 2011

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High-order Runge–Kutta structure-preserving methods for the coupled nonlinear Schrödinger–KdV equations

Using Runge-Kutta method for numerical solution of the system of Volterra integral equation

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High-order Runge–Kutta structure-preserving methods for the coupled nonlinear Schrödinger–KdV equations

Using Runge-Kutta method for numerical solution of the system of Volterra integral equation

Solving directly special fourth-order ordinary differential equations using Runge-Kutta type method

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