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The galerkin-implicit methods for solving nonlinear hyperbolic boundary value problem
المؤلفون المشاركون
al-Hawwasi, Jamil A. Ali
Mansur, Nuha Farhan
المصدر
Ibn al-Haitham Journal for Pure and Applied Science
العدد
المجلد 34، العدد 2 (30 يونيو/حزيران 2021)، ص ص. 119-128، 10ص.
الناشر
جامعة بغداد كلية التربية ابن الهيثم
تاريخ النشر
2021-06-30
دولة النشر
العراق
عدد الصفحات
10
التخصصات الرئيسية
الموضوعات
الملخص EN
This paper is concerned with finding the approximation solution (APPS) of a certain type of nonlinear hyperbolic boundary value problem (NOLHYBVP).
The given BVP is written in its discrete (DI) weak form (WEF), and is proved that it has a unique APPS, which is obtained via the mixed Galerkin finite element method (GFE) with implicit method (MGFEIM) that reduces the problem to solve the Galerkin nonlinear algebraic system (GNAS).
In this part, the predictor and the corrector technique (PT and CT) are proved convergent and are used to transform the obtained GNAS to linear (GLAS), then the GLAS is solved using the Cholesky method (ChMe).
The stability and the convergence of the method are studied.
The results are given by figures and shown the efficiency and accuracy for the This paper is concerned with finding the approximation solution (APPS) of a certain type of nonlinear hyperbolic boundary value problem (NOLHYBVP).
The given BVP is written in its discrete (DI) weak form (WEF), and is proved that it has a unique APPS, which is obtained via the mixed Galerkin finite element method (GFE) with implicit method (MGFEIM) that reduces the problem to solve the Galerkin nonlinear algebraic system (GNAS).
In this part, the predictor and the corrector technique (PT and CT) are proved convergent and are used to transform the obtained GNAS to linear (GLAS), then the GLAS is solved using the Cholesky method (ChMe).
The stability and the convergence of the method are studied.
The results are given by figures and shown the efficiency and accuracy for the method.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
al-Hawwasi, Jamil A. Ali& Mansur, Nuha Farhan. 2021. The galerkin-implicit methods for solving nonlinear hyperbolic boundary value problem. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 34, no. 2, pp.119-128.
https://search.emarefa.net/detail/BIM-1255701
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
al-Hawwasi, Jamil A. Ali& Mansur, Nuha Farhan. The galerkin-implicit methods for solving nonlinear hyperbolic boundary value problem. Ibn al-Haitham Journal for Pure and Applied Science Vol. 34, no. 2 (2021), pp.119-128.
https://search.emarefa.net/detail/BIM-1255701
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
al-Hawwasi, Jamil A. Ali& Mansur, Nuha Farhan. The galerkin-implicit methods for solving nonlinear hyperbolic boundary value problem. Ibn al-Haitham Journal for Pure and Applied Science. 2021. Vol. 34, no. 2, pp.119-128.
https://search.emarefa.net/detail/BIM-1255701
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references : p. 127-128
رقم السجل
BIM-1255701
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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