Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs
Some new linear 3 and 5-step methods for solving special third order ordinary differential equations directly are constructed using Taylor's series expansion. A set of test problems are solved using the new method and the results are compared when the problem is reduced to a system of first ord...
محفوظ في:
| المؤلفون الرئيسيون: | , , |
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| التنسيق: | Conference or Workshop Item |
| اللغة: | English |
| منشور في: |
AIP Publishing
2016
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| الوصول للمادة أونلاين: | http://psasir.upm.edu.my/id/eprint/57175/1/Linear%203%20and%205-step%20methods%20using%20Taylor%20series%20expansion%20for%20solving%20special%203rd%20order%20ODEs.pdf http://psasir.upm.edu.my/id/eprint/57175/ http://aip.scitation.org/doi/abs/10.1063/1.4952516 |
| الوسوم: |
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| الملخص: | Some new linear 3 and 5-step methods for solving special third order ordinary differential equations directly are constructed using Taylor's series expansion. A set of test problems are solved using the new method and the results are compared when the problem is reduced to a system of first order ordinary differential equations and then using the existing Runge-Kutta method. The numerical results have clearly shown the advantage and competency of the new methods. |
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