High Accuracy Simulation for the Weakly Coupled System of Two Second Order Ordinary Differential Equations

Xin Cai

doi:10.4028/www.scientific.net/KEM.467-469.377

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 467-469High Accuracy Simulation for the Weakly Coupled...

High Accuracy Simulation for the Weakly Coupled System of Two Second Order Ordinary Differential Equations

Abstract:

Coupled system of two second order ordinary differential equations with small parameter was considered. This is a multi-scale system. The solution of the system will change rapidly near both sides of the boundary layer. The system was decomposed into several systems in order to have fourth order asymptotic decomposition firstly. The asymptotic properties of all these systems were discussed secondly. The third order numerical methods were constructed for left side and right side singular component systems thirdly. The error estimation for the system was given finally.

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Key Engineering Materials (Volumes 467-469)

Pages:

377-382

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.467-469.377

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Online since:

February 2011

Authors:

Xin Cai

Keywords:

Differential Equation, High-Order, Numerical Simulation, System

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References

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