Solution of eighth order boundary value problems using differential transformation technique

Author

Aziz, Merna A.

Source

al- Rafidain Journal of Computer Sciences and Mathematics

Issue

Vol. 7, Issue 1 (30 Apr. 2010), pp.165-179, 15 p.

Publisher

University of Mosul College of Computer Science and Mathematics

Publication Date

2010-04-30

Country of Publication

Iraq

No. of Pages

15

Main Subjects

Mathematics

Topics

Abstract AR

تم في هذا البحث استخدام طريقة التحويل التفاضلي لحل مسائل القيم الحدودية من الرتبة الثامنة، و قد تم الحصول على النتائج التحليلية و العددية للمعادلات من خلال متسلسلات متقاربة ذات معاملات محددة بطرق حسابية سهلة.

تضمن البحث ثلاث أمثلة لتطبيق الطريقة و توضيح الطريقة مع الحلول التحليلية و من خلال هذه نتائجها العددية.

المقارنات العددية قد أجريت لهذه المقارنات تبين دقة و كفاءة هذه الطريقة في إيجاد الحلول التقريبية لمسائل القيم الحدودية هذه.

Abstract EN

In this paper we have applied the Differential Transform Method (DTM) for solving eighth-order boundary value problems.

The analytical and numerical results of the equations have been obtained in terms of convergent series with the easily computable components.

Three examples are considered for the numerical illustrate and implementation of this method.

Numerical Comparisons with respect to the analytical solutions have been considered.

It is observed that the method is an alternative and efficient for finding the approximate solutions of the boundary values problems.

American Psychological Association (APA)

Aziz, Merna A.. 2010. Solution of eighth order boundary value problems using differential transformation technique. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 7, no. 1, pp.165-179.
https://search.emarefa.net/detail/BIM-253741

Modern Language Association (MLA)

Aziz, Merna A.. Solution of eighth order boundary value problems using differential transformation technique. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 7, no. 1 (2010), pp.165-179.
https://search.emarefa.net/detail/BIM-253741

American Medical Association (AMA)

Aziz, Merna A.. Solution of eighth order boundary value problems using differential transformation technique. al- Rafidain Journal of Computer Sciences and Mathematics. 2010. Vol. 7, no. 1, pp.165-179.
https://search.emarefa.net/detail/BIM-253741

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 178-179

Record ID

BIM-253741