Application of Ordinary Differential Equation in Practice

Guoxiang GUI, Shuilian YANG

Abstract


Among relationships between variables reflecting movement process in natural, there are many mathematical models that satisfy ordinary differential equation (ODE). Generally, as an important tool for solving many problems in practice, ODE is used to understand property of an unknown function. This paper describes four practical cases that apply ODE, i.e. identification of death time in criminal investigation; Malthusian population model; archaeology of Mawangdui Han Dynasty Tomb in Changsha (Hunan Province); and authentication of oil painting, etc.


Keywords


Ordinary differential equation (ODE); Criminal investigation; Authentication for oil painting; Population model; application

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References


Ding, T. R., & Li, C. Z. (2000). Tutorial of ordinary differential equation (2nd ed.). Beijing: Higher Education Press,

Qiu, W., Jian, G., & Yu, Q. (2000). A study on preliminary calculation of ordinary differentialequation. Journal of Mudanjiang Teachers College (Natural Sciences Edition), (4), 19-20.

Wang, X., Zhou Z. M., Zhu, S. M., et, al. (2006). Ordinary differential equation (3rd ed.). Beijing: Higher Education Press.




DOI: http://dx.doi.org/10.3968/12136

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