Solving nonlinear two point boundary value problem using two step direct method
In this paper, we present two step direct method of Adams Moulton type (2PDAM4 and 2PDAM5) for solving nonlinear two point boundary value problems (BVPs) directly. The two step direct method will be utilised to obtain a series solution of the initial value problems at two steps simultaneously. Thes...
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25060/1/Solving%20nonlinear%20two%20point%20boundary%20value%20problem%20using%20two%20step%20direct%20method.pdf |
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| author | Phang, Pei See Abdul Majid, Zanariah Suleiman, Mohamed |
| author_facet | Phang, Pei See Abdul Majid, Zanariah Suleiman, Mohamed |
| author_sort | Phang, Pei See |
| collection | UPM |
| description | In this paper, we present two step direct method of Adams Moulton type (2PDAM4 and 2PDAM5) for solving nonlinear two point boundary value problems (BVPs) directly. The two
step direct method will be utilised to obtain a series solution of the initial value problems at two steps simultaneously. These methods will solve the nonlinear second order BVPs by shooting technique using constant step size. Three step iterative method is considered as a
procedure for solving the nonlinear equations and the convergence of the shooting technique. Numerical results are given to illustrate the efficiency and performance of the direct method by the shooting technique with root finding via three-step iterative method for solving
boundary value problems. The results clearly show that the two step direct method is able to produce good results compared to the existing method. |
| first_indexed | 2024-03-06T08:01:43Z |
| format | Article |
| id | upm.eprints-25060 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:01:43Z |
| publishDate | 2011 |
| publisher | Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | upm.eprints-250602017-04-05T09:08:44Z http://psasir.upm.edu.my/id/eprint/25060/ Solving nonlinear two point boundary value problem using two step direct method Phang, Pei See Abdul Majid, Zanariah Suleiman, Mohamed In this paper, we present two step direct method of Adams Moulton type (2PDAM4 and 2PDAM5) for solving nonlinear two point boundary value problems (BVPs) directly. The two step direct method will be utilised to obtain a series solution of the initial value problems at two steps simultaneously. These methods will solve the nonlinear second order BVPs by shooting technique using constant step size. Three step iterative method is considered as a procedure for solving the nonlinear equations and the convergence of the shooting technique. Numerical results are given to illustrate the efficiency and performance of the direct method by the shooting technique with root finding via three-step iterative method for solving boundary value problems. The results clearly show that the two step direct method is able to produce good results compared to the existing method. Universiti Kebangsaan Malaysia 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25060/1/Solving%20nonlinear%20two%20point%20boundary%20value%20problem%20using%20two%20step%20direct%20method.pdf Phang, Pei See and Abdul Majid, Zanariah and Suleiman, Mohamed (2011) Solving nonlinear two point boundary value problem using two step direct method. Journal of Quality Measurement and Analysis, 7 (1). 129- 140. ISSN 1823-5670 http://www.ukm.my/jqma/jqma7_1a.html |
| spellingShingle | Phang, Pei See Abdul Majid, Zanariah Suleiman, Mohamed Solving nonlinear two point boundary value problem using two step direct method |
| title | Solving nonlinear two point boundary value problem using two step direct method |
| title_full | Solving nonlinear two point boundary value problem using two step direct method |
| title_fullStr | Solving nonlinear two point boundary value problem using two step direct method |
| title_full_unstemmed | Solving nonlinear two point boundary value problem using two step direct method |
| title_short | Solving nonlinear two point boundary value problem using two step direct method |
| title_sort | solving nonlinear two point boundary value problem using two step direct method |
| url | http://psasir.upm.edu.my/id/eprint/25060/1/Solving%20nonlinear%20two%20point%20boundary%20value%20problem%20using%20two%20step%20direct%20method.pdf |
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