Two-point block method for Van der Pol equation
The second order ordinary differential equations (ODEs) of Van der Pol equation is treated by using the two-point block backward differentiation formula. Two types of Van der Pol equation which are stiff and nonstiff are considered. The main motivation of this study is to solve the Van der Pol equat...
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| Format: | Article |
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Academy of Sciences Malaysia
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/86412/ |
| Summary: | The second order ordinary differential equations (ODEs) of Van der Pol equation is treated by using the two-point block backward differentiation formula. Two types of Van der Pol equation which are stiff and nonstiff are considered. The main motivation of this study is to solve the Van der Pol equation directly instead of reducing it to a system of first order equation. The two-point block method is implemented in constant step size and will produce two approximated solutions for each step. Some numerical results are presented, and the comparisons are made with the existing solvers for both stiff and nonstiff ODE to validate the numerical performance of the two-point block method. |
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