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A Sixth Order Accuracy Solution to a System of Nonlinear Differential Equations with Coupled Compact Method
المؤلفون المشاركون
المصدر
Journal of Computational Engineering
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-10، 10ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-12-04
دولة النشر
مصر
عدد الصفحات
10
التخصصات الرئيسية
الملخص EN
A system of coupled nonlinear partial differential equations with convective and dispersive terms was modified from Boussinesq-type equations.
Through a special formulation, a system of nonlinear partial differential equations was solved alternately and explicitly in time without linearizing the nonlinearity.
Coupled compact schemes of sixth order accuracy in space were developed to obtain numerical solutions.
Within couple compact schemes, variables and their first and second derivatives were solved altogether.
The sixth order accuracy in space is achieved with a memory-saving arrangement of state variables so that the linear system is banded instead of blocked.
This facilitates solving very large systems.
The efficiency, simplicity, and accuracy make this coupled compact method viable as variational and weighted residual methods.
Results were compared with exact solutions which were obtained via devised forcing terms.
Error analyses were carried out, and the sixth order convergence in space and second order convergence in time were demonstrated.
Long time integration was also studied to show stability and error convergence rates.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Liu, Don& Chen, Qin& Wang, Yifan. 2013. A Sixth Order Accuracy Solution to a System of Nonlinear Differential Equations with Coupled Compact Method. Journal of Computational Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-471830
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Liu, Don…[et al.]. A Sixth Order Accuracy Solution to a System of Nonlinear Differential Equations with Coupled Compact Method. Journal of Computational Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-471830
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Liu, Don& Chen, Qin& Wang, Yifan. A Sixth Order Accuracy Solution to a System of Nonlinear Differential Equations with Coupled Compact Method. Journal of Computational Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-471830
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-471830
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
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