Solution of nonlinear high order multi-point boundary value problems by semi-analytic technique

Other Title(s)

حل مسائل القيم الحدودية متعددة النقاط من الرتب العالية غير الخطية باستخدام التقنية شبه التحليلية

Joint Authors

Tawfiq, Lama Naji Muhammad
Hilal, Maryam Muhammad

Source

Baghdad Science Journal

Issue

Vol. 11, Issue 2(s) (30 Jun. 2014), pp.220-228, 9 p.

Publisher

University of Baghdad College of Science for Women

Publication Date

2014-06-30

Country of Publication

Iraq

No. of Pages

9

Main Subjects

Mathematics

Topics

Abstract AR

في هذا البحث نعرض خوارزمية جديدة لحل معادلات تفاضلية اعتيادية من الرتب العالية غير الخطية ذات الشروط الحدودية عند نقاط متعددة، الخوارزمية تعمل على أساس التقنية شبه التحليلية و الحل يحسب بصيغة متسلسلة سريعة التقارب و هذا يتضح أكثر في المسائل الفيزيائية، أيضا 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 nonlinear high order multi-point boundary value problem with suitable multi boundary conditions.

The algorithm is based on the semi-analytic technique and the solutions 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 multi- point boundary value problems.

American Psychological Association (APA)

Tawfiq, Lama Naji Muhammad& Hilal, Maryam Muhammad. 2014. Solution of nonlinear high order multi-point boundary value problems by semi-analytic technique. Baghdad Science Journal،Vol. 11, no. 2(s), pp.220-228.
https://search.emarefa.net/detail/BIM-624969

Modern Language Association (MLA)

Tawfiq, Lama Naji Muhammad& Hilal, Maryam Muhammad. Solution of nonlinear high order multi-point boundary value problems by semi-analytic technique. Baghdad Science Journal Vol. 11, no. 2 (2014), pp.220-228.
https://search.emarefa.net/detail/BIM-624969

American Medical Association (AMA)

Tawfiq, Lama Naji Muhammad& Hilal, Maryam Muhammad. Solution of nonlinear high order multi-point boundary value problems by semi-analytic technique. Baghdad Science Journal. 2014. Vol. 11, no. 2(s), pp.220-228.
https://search.emarefa.net/detail/BIM-624969

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 227

Record ID

BIM-624969