دورية أكاديمية

Numerical treatment of Hunter Saxton equation using cubic trigonometric B-spline collocation method

التفاصيل البيبلوغرافية
العنوان: Numerical treatment of Hunter Saxton equation using cubic trigonometric B-spline collocation method
المؤلفون: M. S. Hashmi, Muhammad Awais, Ammarah Waheed, Qutab Ali
المصدر: AIP Advances, Vol 7, Iss 9, Pp 095124-095124-12 (2017)
بيانات النشر: AIP Publishing LLC, 2017.
سنة النشر: 2017
المجموعة: LCC:Physics
مصطلحات موضوعية: Physics, QC1-999
الوصف: In this article, authors proposed a computational model based on cubic trigonometric B-spline collocation method to solve Hunter Saxton equation. The nonlinear second order partial differential equation arises in modeling of nematic liquid crystals and describes some aspects of orientation wave. The problem is decomposed into system of linear equations using cubic trigonometric B-spline collocation method with quasilinearization. To show the efficiency of the proposed method, two numerical examples have been tested for different values of t. The results are described using error tables and graphs and compared with the results existed in literature. It is evident that results are in good agreement with analytical solution and better than Arbabi, Nazari, and Davishi, Optik 127, 5255–5258 (2016). In current problem, it is also observed that the cubic trigonometric B-spline gives better results as compared to cubic B-spline.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2158-3226
Relation: https://doaj.org/toc/2158-3226
DOI: 10.1063/1.4996740
URL الوصول: https://doaj.org/article/b223aa2d59054a178dfec3339202ea36
رقم الأكسشن: edsdoj.b223aa2d59054a178dfec3339202ea36
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:21583226
DOI:10.1063/1.4996740