Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations

المؤلفون المشاركون

Li, Gongsheng
Zhang, Dali
Chi, Guangsheng
Jia, Xianzheng
Li, Huiling

المصدر

Journal of Applied Mathematics

العدد

المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-14، 14ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2012-12-24

دولة النشر

مصر

عدد الصفحات

14

التخصصات الرئيسية

الرياضيات

الملخص EN

This paper deals with an inverse problem for identifying multiparameters in 1D space fractional advection dispersion equation (FADE) on a finite domain with final observations.

The parameters to be identified are the fractional order, the diffusion coefficient, and the average velocity in the FADE.

The forward problem is solved by a finite difference scheme, and then an optimal perturbation regularization algorithm is introduced to determine the three parameters simultaneously.

Numerical inversions are performed both with the accurate data and noisy data, and several factors having influences on realization of the algorithm are discussed.

The inversion solutions are in good approximations to the exact solutions demonstrating the efficiency of the proposed algorithm.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Zhang, Dali& Li, Gongsheng& Chi, Guangsheng& Jia, Xianzheng& Li, Huiling. 2012. Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1028991

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Zhang, Dali…[et al.]. Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1028991

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Zhang, Dali& Li, Gongsheng& Chi, Guangsheng& Jia, Xianzheng& Li, Huiling. Numerical Identification of Multiparameters in the Space Fractional Advection Dispersion Equation by Final Observations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1028991

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1028991