Solution of 2nd order nonlinear three-point boundary value problems by semi-analytic technique
Other Title(s)
حل مسائل القيم الحدودية ذو ثلاث نقاط من الرتبة الثانية باستخدام التقنية شبه التحليلية
Joint Authors
Tawfiq, Lama Naji Muhammad
Hilal, Maryam Muhammad
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 27, Issue 3 (31 Dec. 2014), pp.501-512, 12 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2014-12-31
Country of Publication
Iraq
No. of Pages
12
Main Subjects
Abstract AR
في هذا البحث نعرض خوارزمية جديدة لحل معادلات تفاضلية اعتيادية من الرتبة الثانية ذات الشروط الحدودية عند ثلاث نقاط, الخوارزمية تعمل على أساس التقنية شبه التحليلية و الحل حسب بصيغة متسلسلة سريعة التقارب و هذا يتضح أكثر في المسائل الفيزيائية, و ناقشنا بعض الأمثلة لتوضيح الدقة و الكفاءة و سهولة أداء الطريقة المقترحة في حل هذا النوع من المسائل الحدودية متعددة النقاط.
Abstract EN
In this paper, we present new algorithm for the solution of the second order nonlinear three-point boundary value problem with suitable multi boundary conditions.
The algorithm is based on the semi-analytic technique and the solutions which are calculated in the form of a rapid convergent series.
It is observed that the method gives more realistic series solution that converges very rapidly in physical problems.
Illustrative examples are provided to demonstrate the efficiency and simplicity of the proposed method in solving this type of three point boundary value problems.
American Psychological Association (APA)
Tawfiq, Lama Naji Muhammad& Hilal, Maryam Muhammad. 2014. Solution of 2nd order nonlinear three-point boundary value problems by semi-analytic technique. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 27, no. 3, pp.501-512.
https://search.emarefa.net/detail/BIM-546465
Modern Language Association (MLA)
Tawfiq, Lama Naji Muhammad& Hilal, Maryam Muhammad. Solution of 2nd order nonlinear three-point boundary value problems by semi-analytic technique. Ibn al-Haitham Journal for Pure and Applied Science Vol. 27, no. 3 (2014), pp.501-512.
https://search.emarefa.net/detail/BIM-546465
American Medical Association (AMA)
Tawfiq, Lama Naji Muhammad& Hilal, Maryam Muhammad. Solution of 2nd order nonlinear three-point boundary value problems by semi-analytic technique. Ibn al-Haitham Journal for Pure and Applied Science. 2014. Vol. 27, no. 3, pp.501-512.
https://search.emarefa.net/detail/BIM-546465
Data Type
Journal Articles
Language
English
Notes
Includes appendices : p. 508-511
Record ID
BIM-546465
