2009•Journal of Xinxiang UniversityRequires access

Application of Numerical Solution of Ordinary Differential Equations in the Modeling

Jia Hong-yan

Abstract

Weighted improvement Euler method for computing initial Problem in Differential equation is introduced. Through examples, we compare with the improvement Euler method, and find that the weighted improvement Euler method is higher in accuracy. Applied to mathematical modeling, this method can better solve practical problems.

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Key concepts: Euler method, Euler's formula, Backward Euler method, Applied mathematics, Ordinary differential equation, Explicit and implicit methods, Semi-implicit Euler method, Differential equation