Taylor Collocation Method for Nonlinear System of SecondOrder Boundary Value Problems
In this study, a numerical approach is proposed to obtain approximate solutions of nonlinear system of secondorder boundary value problem. This technique is essentially based on the truncated Taylor series and its matrix representations with collocation points. Using the matrix method, we reduce the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Düzce University
2013-07-01
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| Series: | Düzce Üniversitesi Bilim ve Teknoloji Dergisi |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/56180 |
| _version_ | 1797300850363727872 |
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| author | Elçin Gökmen Mehmet Sezer |
| author_facet | Elçin Gökmen Mehmet Sezer |
| author_sort | Elçin Gökmen |
| collection | DOAJ |
| description | In this study, a numerical approach is proposed to obtain approximate solutions of nonlinear system of secondorder boundary value problem. This technique is essentially based on the truncated Taylor series and its matrix representations with collocation points. Using the matrix method, we reduce the problem system of nonlinear algebraic equations. Numerical examples are also given to demonstrate the validity and applicability of the presented technique. The method is easy to implement and produces accurate results. All numerical computations have been performed on the computer algebraic system Maple 9. |
| first_indexed | 2024-03-07T23:13:58Z |
| format | Article |
| id | doaj.art-60c4c680cd1745aa9a52fcffa65b6e93 |
| institution | Directory Open Access Journal |
| issn | 2148-2446 |
| language | English |
| last_indexed | 2024-03-07T23:13:58Z |
| publishDate | 2013-07-01 |
| publisher | Düzce University |
| record_format | Article |
| series | Düzce Üniversitesi Bilim ve Teknoloji Dergisi |
| spelling | doaj.art-60c4c680cd1745aa9a52fcffa65b6e932024-02-21T14:07:28ZengDüzce UniversityDüzce Üniversitesi Bilim ve Teknoloji Dergisi2148-24462013-07-0111112397Taylor Collocation Method for Nonlinear System of SecondOrder Boundary Value ProblemsElçin GökmenMehmet SezerIn this study, a numerical approach is proposed to obtain approximate solutions of nonlinear system of secondorder boundary value problem. This technique is essentially based on the truncated Taylor series and its matrix representations with collocation points. Using the matrix method, we reduce the problem system of nonlinear algebraic equations. Numerical examples are also given to demonstrate the validity and applicability of the presented technique. The method is easy to implement and produces accurate results. All numerical computations have been performed on the computer algebraic system Maple 9.https://dergipark.org.tr/tr/download/article-file/56180nonlinear system second-order boundary value problem taylor polynomials and seriescollocation pointslineer olmayan sistem i̇kinci mertebe sınır değer problemi taylor polinomu ve serisi sıralama noktaları |
| spellingShingle | Elçin Gökmen Mehmet Sezer Taylor Collocation Method for Nonlinear System of SecondOrder Boundary Value Problems Düzce Üniversitesi Bilim ve Teknoloji Dergisi nonlinear system second-order boundary value problem taylor polynomials and series collocation points lineer olmayan sistem i̇kinci mertebe sınır değer problemi taylor polinomu ve serisi sıralama noktaları |
| title | Taylor Collocation Method for Nonlinear System of SecondOrder Boundary Value Problems |
| title_full | Taylor Collocation Method for Nonlinear System of SecondOrder Boundary Value Problems |
| title_fullStr | Taylor Collocation Method for Nonlinear System of SecondOrder Boundary Value Problems |
| title_full_unstemmed | Taylor Collocation Method for Nonlinear System of SecondOrder Boundary Value Problems |
| title_short | Taylor Collocation Method for Nonlinear System of SecondOrder Boundary Value Problems |
| title_sort | taylor collocation method for nonlinear system of secondorder boundary value problems |
| topic | nonlinear system second-order boundary value problem taylor polynomials and series collocation points lineer olmayan sistem i̇kinci mertebe sınır değer problemi taylor polinomu ve serisi sıralama noktaları |
| url | https://dergipark.org.tr/tr/download/article-file/56180 |
| work_keys_str_mv | AT elcingokmen taylorcollocationmethodfornonlinearsystemofsecondorderboundaryvalueproblems AT mehmetsezer taylorcollocationmethodfornonlinearsystemofsecondorderboundaryvalueproblems |