Direct one-step method for solving third-order boundary value problems
A direct explicit Runge-Kutta type (RKT) method via shooting technique to approximate analytical solutions to the third-order two-point boundary value problems (BVPs) with boundary condition type I and II are proposed. In this paper first, a three-stage fourth-order direct explicit Runge-Kutta type...
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| Main Authors: | , , |
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| 格式: | Article |
| 語言: | English |
| 出版: |
Academic Publications
2019
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| 在線閱讀: | http://psasir.upm.edu.my/id/eprint/79395/1/Direct%20one-step%20method%20for%20solving%20third-order%20boundary%20value%20problems.pdf http://psasir.upm.edu.my/id/eprint/79395/ http://www.diogenes.bg/ijam/contents/2019-32-2/1/index.html# |
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| 總結: | A direct explicit Runge-Kutta type (RKT) method via shooting technique to approximate analytical solutions to the third-order two-point boundary value problems (BVPs) with boundary condition type I and II are proposed. In this paper first, a three-stage fourth-order direct explicit Runge-Kutta type method denoted as RKT3s4 is constructed. A new algorithm of shooting technique for solving two-point BVPs for third-order ordinary differential equations (ODEs) is presented. |
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