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2008•Journal of Chengdu UniversityRequires access

Numerical Methods Solve Special Ordinary Differential Equations

Xiao Zhong-qiu

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Abstract

The problem that numerical methods solve the ordinary differential equations which satisfy a condition is frequent in numerical analysis.In fact,conventional numerical methods is not confined to the problem,their ideals can apply to special ordinary differential equations which do not satisfy a condition.The given demonstration indicates that these methods can find some special ordinary differential equations' numerical solutions in certain conditions.

About this research paper

What this paper is about

The problem that numerical methods solve the ordinary differential equations which satisfy a condition is frequent in numerical analysis.In fact,conventional numerical methods is not confined to the problem,their ideals can apply to special ordinary differential equations which do not satisfy a condition.The given demonstration indicates that these methods can find some special ordinary differential equations' numerical solutions in certain conditions.

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Available abstract

The problem that numerical methods solve the ordinary differential equations which satisfy a condition is frequent in numerical analysis.In fact,conventional numerical methods is not confined to the problem,their ideals can apply to special ordinary differential equations which do not satisfy a condition.The given demonstration indicates that these methods can find some special ordinary differential equations' numerical solutions in certain conditions.

Key concepts: Ordinary differential equation, Exponential integrator, Mathematics, Explicit and implicit methods, Numerical partial differential equations, Numerical methods for ordinary differential equations, Numerical stability, Collocation method

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