Remarks on the shooting method for nonlinear two-point boundary-value problems
In this note, we prove a convergent theorem for the shooting method combining the explicit Euler's scheme with the Newton method for solving nonlinear two-point boundary problems (TPBVPs). Some illustrative numerical examples are also considered.
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2017
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oai:112.137.131.14:VNU_123-583362018-07-12T03:50:13Z Remarks on the shooting method for nonlinear two-point boundary-value problems Nguyen, Trung Hieu nonlinear two-point boundary-value problems shooting method In this note, we prove a convergent theorem for the shooting method combining the explicit Euler's scheme with the Newton method for solving nonlinear two-point boundary problems (TPBVPs). Some illustrative numerical examples are also considered. 2017-08-25T07:29:32Z 2017-08-25T07:29:32Z 2003 Article Nguyen, T. Hieu. (2003). Remarks on the shooting method for nonlinear two-point boundary-value problems. VNU Journal of Science, Mathematics- Physics, 19, 3, 18-25. 2588-1124 http://repository.vnu.edu.vn/handle/VNU_123/58336 en Journal of Mathematics- Physics application/pdf H. : ĐHQGHN |
| institution |
Vietnam National University, Hanoi |
| building |
VNU Library & Information Center |
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Vietnam |
| collection |
VNU Digital Repository |
| language |
English |
| topic |
nonlinear two-point boundary-value problems shooting method |
| spellingShingle |
nonlinear two-point boundary-value problems shooting method Nguyen, Trung Hieu Remarks on the shooting method for nonlinear two-point boundary-value problems |
| description |
In this note, we prove a convergent theorem for the shooting method combining the explicit Euler's scheme with the Newton method for solving nonlinear two-point boundary problems (TPBVPs). Some illustrative numerical examples are also considered. |
| format |
Article |
| author |
Nguyen, Trung Hieu |
| author_facet |
Nguyen, Trung Hieu |
| author_sort |
Nguyen, Trung Hieu |
| title |
Remarks on the shooting method for nonlinear two-point boundary-value problems |
| title_short |
Remarks on the shooting method for nonlinear two-point boundary-value problems |
| title_full |
Remarks on the shooting method for nonlinear two-point boundary-value problems |
| title_fullStr |
Remarks on the shooting method for nonlinear two-point boundary-value problems |
| title_full_unstemmed |
Remarks on the shooting method for nonlinear two-point boundary-value problems |
| title_sort |
remarks on the shooting method for nonlinear two-point boundary-value problems |
| publisher |
H. : ĐHQGHN |
| publishDate |
2017 |
| url |
http://repository.vnu.edu.vn/handle/VNU_123/58336 |
| _version_ |
1680963720891596800 |