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Characteristics of the Differential Quadrature Method and Its Improvement
المؤلفون المشاركون
Fangzong, Wang
Xiaobing, Liao
Xiong, Xie
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2015، العدد 2015 (31 ديسمبر/كانون الأول 2015)، ص ص. 1-9، 9ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2015-06-03
دولة النشر
مصر
عدد الصفحات
9
التخصصات الرئيسية
الملخص EN
The differential quadrature method has been widely used in scientific and engineering computation.
However, for the basic characteristics of time domain differential quadrature method, such as numerical stability and calculation accuracy or order, it is still lack of systematic analysis conclusions.
In this paper, according to the principle of differential quadrature method, it has been derived and proved that the weighting coefficients matrix of differential quadrature method meets the important V-transformation feature.
Through the equivalence of the differential quadrature method and the implicit Runge-Kutta method, it has been proved that the differential quadrature method is A-stable and s-stage s-order method.
On this basis, in order to further improve the accuracy of the time domain differential quadrature method, a class of improved differential quadrature method of s-stage 2s-order have been proposed by using undetermined coefficients method and Padé approximations.
The numerical results show that the improved differential quadrature method is more precise than the traditional differential quadrature method.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Fangzong, Wang& Xiaobing, Liao& Xiong, Xie. 2015. Characteristics of the Differential Quadrature Method and Its Improvement. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074407
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Fangzong, Wang…[et al.]. Characteristics of the Differential Quadrature Method and Its Improvement. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1074407
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Fangzong, Wang& Xiaobing, Liao& Xiong, Xie. Characteristics of the Differential Quadrature Method and Its Improvement. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074407
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1074407
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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