Solution of 2nd Order Nonlinear Three-Point Boundary Value Problems By Semi-Analytic Technique
In this paper, we present new algorithm for the solution of the second order nonlinear three-point boundary value problem with suitable multi boundary conditions. The algorithm is based on the semi-analytic technique and the solutions which are calculated in the form of a rapid convergent serie...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2017-04-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| Subjects: | |
| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/315 |
| _version_ | 1818269451377704960 |
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| author | Luma N. M. Tawfiq Mariam M. Hilal |
| author_facet | Luma N. M. Tawfiq Mariam M. Hilal |
| author_sort | Luma N. M. Tawfiq |
| collection | DOAJ |
| description |
In this paper, we present new algorithm for the solution of the second order nonlinear three-point boundary value problem with suitable multi boundary conditions. The algorithm is based on the semi-analytic technique and the solutions which are calculated in the form of a rapid convergent series. It is observed that the method gives more realistic series solution that converges very rapidly in physical problems. Illustrative examples are provided to demonstrate the efficiency and simplicity of the proposed method in solving this type of three point boundary value problems.
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| first_indexed | 2024-12-12T20:54:36Z |
| format | Article |
| id | doaj.art-bf70f9f71d524f3b98cb857d4ca8399e |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-12-12T20:54:36Z |
| publishDate | 2017-04-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-bf70f9f71d524f3b98cb857d4ca8399e2022-12-22T00:12:19ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072017-04-01273Solution of 2nd Order Nonlinear Three-Point Boundary Value Problems By Semi-Analytic TechniqueLuma N. M. TawfiqMariam M. Hilal In this paper, we present new algorithm for the solution of the second order nonlinear three-point boundary value problem with suitable multi boundary conditions. The algorithm is based on the semi-analytic technique and the solutions which are calculated in the form of a rapid convergent series. It is observed that the method gives more realistic series solution that converges very rapidly in physical problems. Illustrative examples are provided to demonstrate the efficiency and simplicity of the proposed method in solving this type of three point boundary value problems. https://jih.uobaghdad.edu.iq/index.php/j/article/view/315Differential Equation, Multi-point Boundary Value Problem, Approximate Solution. |
| spellingShingle | Luma N. M. Tawfiq Mariam M. Hilal Solution of 2nd Order Nonlinear Three-Point Boundary Value Problems By Semi-Analytic Technique Ibn Al-Haitham Journal for Pure and Applied Sciences Differential Equation, Multi-point Boundary Value Problem, Approximate Solution. |
| title | Solution of 2nd Order Nonlinear Three-Point Boundary Value Problems By Semi-Analytic Technique |
| title_full | Solution of 2nd Order Nonlinear Three-Point Boundary Value Problems By Semi-Analytic Technique |
| title_fullStr | Solution of 2nd Order Nonlinear Three-Point Boundary Value Problems By Semi-Analytic Technique |
| title_full_unstemmed | Solution of 2nd Order Nonlinear Three-Point Boundary Value Problems By Semi-Analytic Technique |
| title_short | Solution of 2nd Order Nonlinear Three-Point Boundary Value Problems By Semi-Analytic Technique |
| title_sort | solution of 2nd order nonlinear three point boundary value problems by semi analytic technique |
| topic | Differential Equation, Multi-point Boundary Value Problem, Approximate Solution. |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/315 |
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