A New Accurate Numerical Method Based on Shifted Chebyshev Series for Nuclear Reactor Dynamical Systems
المؤلف
المصدر
Science and Technology of Nuclear Installations
العدد
المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-15، 15ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2018-10-01
دولة النشر
مصر
عدد الصفحات
15
الملخص EN
A new method based on shifted Chebyshev series of the first kind is introduced to solve stiff linear/nonlinear systems of the point kinetics equations.
The total time interval is divided into equal step sizes to provide approximate solutions.
The approximate solutions require determination of the series coefficients at each step.
These coefficients can be determined by equating the high derivatives of the Chebyshev series with those obtained by the given system.
A new recurrence relation is introduced to determine the series coefficients.
A special transformation is applied on the independent variable to map the classical range of the Chebyshev series from [-1,1] to [0,h].
The method deals with the Chebyshev series as a finite difference method not as a spectral method.
Stability of the method is discussed and it has proved that the method has an exponential rate of convergence.
The method is applied to solve different problems of the point kinetics equations including step, ramp, and sinusoidal reactivities.
Also, when the reactivity is dependent on the neutron density and step insertion with Newtonian temperature feedback reactivity and thermal hydraulics feedback are tested.
Comparisons with the analytical and numerical methods confirm the validity and accuracy of the method.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Hamada, Yasser Mohamed. 2018. A New Accurate Numerical Method Based on Shifted Chebyshev Series for Nuclear Reactor Dynamical Systems. Science and Technology of Nuclear Installations،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1214989
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Hamada, Yasser Mohamed. A New Accurate Numerical Method Based on Shifted Chebyshev Series for Nuclear Reactor Dynamical Systems. Science and Technology of Nuclear Installations No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1214989
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Hamada, Yasser Mohamed. A New Accurate Numerical Method Based on Shifted Chebyshev Series for Nuclear Reactor Dynamical Systems. Science and Technology of Nuclear Installations. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1214989
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1214989
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر