On solution of nonlinear singular boundary value problem
Other Title(s)
حول حل مسائل القيم الحدودية الشاذة غير الخطية
Joint Authors
Rashid, Hibah Walid
Tawfiq, Lama Naji Muhammad
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 26, Issue 3 (31 Dec. 2013), pp.331-339, 9 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2013-12-31
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Abstract AR
الهدف من هذا البحث عرض دراسة تحليلية لمسائل القيم الحدودية الشاذة غير الخطية للمعادلات التفاضلية الاعتيادية و بأنواع مختلفة إذ إننا نقترح التقنية شبه التحليلية باستخدام الاندراج التماسي ذي النقطتين للحصول على الحل كمتعددة حدود، كذلك ناقشنا مثالين لتوضيح الدقة، و الكفاية و سهولة أداء الطريقة المقترحة و أخيرا ناقشنا سلوك الحل في جوار النقاط الشاذة، و إيجاد الحل التقريبي لها بشكل مرضي فيما يخص المسائل الشاذة.
Abstract EN
This paper is devoted to the analysis of nonlinear singular boundary value problems for ordinary differential equations with a singularity of the different kind.
We propose semi -analytic technique using two point osculatory interpolation to construct polynomial solution, and discussion behavior of the solution in the neighborhood of the singular points and its numerical approximation.
Two examples are presented to demonstrate the applicability and efficiency of the methods.
Finally, we discuss behavior of the solution in the neighborhood of the singularity point which appears to perform satisfactorily for singular problems.
American Psychological Association (APA)
Tawfiq, Lama Naji Muhammad& Rashid, Hibah Walid. 2013. On solution of nonlinear singular boundary value problem. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 26, no. 3, pp.331-339.
https://search.emarefa.net/detail/BIM-599122
Modern Language Association (MLA)
Tawfiq, Lama Naji Muhammad& Rashid, Hibah Walid. On solution of nonlinear singular boundary value problem. Ibn al-Haitham Journal for Pure and Applied Science Vol. 26, no. 3 (Dec. 2013), pp.331-339.
https://search.emarefa.net/detail/BIM-599122
American Medical Association (AMA)
Tawfiq, Lama Naji Muhammad& Rashid, Hibah Walid. On solution of nonlinear singular boundary value problem. Ibn al-Haitham Journal for Pure and Applied Science. 2013. Vol. 26, no. 3, pp.331-339.
https://search.emarefa.net/detail/BIM-599122
Data Type
Journal Articles
Language
English
Notes
Includes appendix : p. 336-338
Record ID
BIM-599122