Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method
Differential transform method is adopted, for the first time, for solving linear singularly perturbed two-point boundary value problems. Four numerical examples are given to demonstrate the effectiveness of the present method. Results show that the numerical scheme is very effective and convenient f...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/579431 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556065445642240 |
|---|---|
| author | Nurettin Doğan Vedat Suat Ertürk Ömer Akın |
| author_facet | Nurettin Doğan Vedat Suat Ertürk Ömer Akın |
| author_sort | Nurettin Doğan |
| collection | DOAJ |
| description | Differential transform method is adopted, for the first time, for solving linear singularly perturbed two-point boundary value problems. Four numerical examples are given to demonstrate the effectiveness of the present method. Results show that the numerical scheme is very effective and convenient for solving a large number of linear singularly perturbed two-point boundary value problems with high accuracy. |
| format | Article |
| id | doaj-art-5283302e9a7c4b219a032f0a9e632334 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5283302e9a7c4b219a032f0a9e6323342025-02-03T05:46:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/579431579431Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation MethodNurettin Doğan0Vedat Suat Ertürk1Ömer Akın2Department of Computer Engineering, Faculty of Technology, Gazi University, Teknikokullar, 06500 Ankara, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayıs University, 55139 Samsun, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, TOBB University of Economics and Technology, Söğütözü, 06530 Ankara, TurkeyDifferential transform method is adopted, for the first time, for solving linear singularly perturbed two-point boundary value problems. Four numerical examples are given to demonstrate the effectiveness of the present method. Results show that the numerical scheme is very effective and convenient for solving a large number of linear singularly perturbed two-point boundary value problems with high accuracy.http://dx.doi.org/10.1155/2012/579431 |
| spellingShingle | Nurettin Doğan Vedat Suat Ertürk Ömer Akın Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method Discrete Dynamics in Nature and Society |
| title | Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method |
| title_full | Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method |
| title_fullStr | Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method |
| title_full_unstemmed | Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method |
| title_short | Numerical Treatment of Singularly Perturbed Two-Point Boundary Value Problems by Using Differential Transformation Method |
| title_sort | numerical treatment of singularly perturbed two point boundary value problems by using differential transformation method |
| url | http://dx.doi.org/10.1155/2012/579431 |
| work_keys_str_mv | AT nurettindogan numericaltreatmentofsingularlyperturbedtwopointboundaryvalueproblemsbyusingdifferentialtransformationmethod AT vedatsuaterturk numericaltreatmentofsingularlyperturbedtwopointboundaryvalueproblemsbyusingdifferentialtransformationmethod AT omerakın numericaltreatmentofsingularlyperturbedtwopointboundaryvalueproblemsbyusingdifferentialtransformationmethod |