Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly
We describe the development of a 2-point block backward difference method (2PBBD) for solving system of nonstiff higher-order ordinary differential equations (ODEs) directly. The method computes the approximate solutions at two points simultaneously within an equidistant block. The integration coeff...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/867095 |
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| author | Hazizah Mohd Ijam Mohamed Suleiman Ahmad Fadly Nurullah Rasedee Norazak Senu Ali Ahmadian Soheil Salahshour |
| author_facet | Hazizah Mohd Ijam Mohamed Suleiman Ahmad Fadly Nurullah Rasedee Norazak Senu Ali Ahmadian Soheil Salahshour |
| author_sort | Hazizah Mohd Ijam |
| collection | DOAJ |
| description | We describe the development of a 2-point block backward difference method (2PBBD) for solving system of nonstiff higher-order ordinary differential equations (ODEs) directly. The method computes the approximate solutions at two points simultaneously within an equidistant block. The integration coefficients that are used in the method are obtained only once at the start of the integration. Numerical results are presented to compare the performances of the method developed with 1-point backward difference method (1PBD) and 2-point block divided difference method (2PBDD). The result indicated that, for finer step sizes, this method performs better than the other two methods, that is, 1PBD and 2PBDD. |
| format | Article |
| id | doaj-art-524be488b5d14c8bb7edcb0e74b199bf |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-524be488b5d14c8bb7edcb0e74b199bf2025-02-03T06:08:21ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/867095867095Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method DirectlyHazizah Mohd Ijam0Mohamed Suleiman1Ahmad Fadly Nurullah Rasedee2Norazak Senu3Ali Ahmadian4Soheil Salahshour5Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaInstitute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaInstitute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaDepartment of Computer Engineering, Mashhad Branch, Islamic Azad University, Mashhad, IranWe describe the development of a 2-point block backward difference method (2PBBD) for solving system of nonstiff higher-order ordinary differential equations (ODEs) directly. The method computes the approximate solutions at two points simultaneously within an equidistant block. The integration coefficients that are used in the method are obtained only once at the start of the integration. Numerical results are presented to compare the performances of the method developed with 1-point backward difference method (1PBD) and 2-point block divided difference method (2PBDD). The result indicated that, for finer step sizes, this method performs better than the other two methods, that is, 1PBD and 2PBDD.http://dx.doi.org/10.1155/2014/867095 |
| spellingShingle | Hazizah Mohd Ijam Mohamed Suleiman Ahmad Fadly Nurullah Rasedee Norazak Senu Ali Ahmadian Soheil Salahshour Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly Abstract and Applied Analysis |
| title | Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly |
| title_full | Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly |
| title_fullStr | Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly |
| title_full_unstemmed | Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly |
| title_short | Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly |
| title_sort | solving nonstiff higher order ordinary differential equations using 2 point block method directly |
| url | http://dx.doi.org/10.1155/2014/867095 |
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