New paralel R-point explicit block method for solving linear high-order ordinary differential equations directly
A new method called parallel R-point explicit block method for solving a single equation of higher order ordinary differential equation directly using a constant step size is developed. This method calculates the numerical solution at R point simultaneously and is parallel in nature. Computational...
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| Format: | Article |
| Language: | English |
| Published: |
Faculty of Science and Technology Universiti Kebangsaan Malaysia
2009
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| Online Access: | https://repo.uum.edu.my/id/eprint/2249/1/Zurni_Omar%2C_and_Mohamed_Suleiman%2C_%282009%29_New_Parallel_R-poin.pdf |
| Summary: | A new method called parallel R-point explicit block method for solving a single equation of higher order ordinary
differential equation directly using a constant step size is developed. This method calculates the numerical solution at R point simultaneously and is parallel in nature. Computational advantages are presented by comparing the results obtained with the new method with that of the conventional 1-point method. The numerical results show that the new method reduces the total number of steps and execution time. The accuracy of the parallel block and the conventional 1-point method is comparable particularly when finer step sizes are used. |
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