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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Academic Publications
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/79395/1/Direct%20one-step%20method%20for%20solving%20third-order%20boundary%20value%20problems.pdf |
| Summary: | 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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