Numerical study on phase-fitted and amplification-fitted diagonally implicit two derivative Runge-Kutta method for periodic IVPs
A fourth-order two stage Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method (PFAFDITDRK) for the numerical integration of first-order Initial Value Problems (IVPs) which exhibits periodic solutions are constructed. The Phase-Fitted and Amplification-Fitted...
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| Main Authors: | , , , |
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| Format: | Article |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2021
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| Online Access: | http://psasir.upm.edu.my/id/eprint/94396/ http://www.ukm.my/jsm/english_journals/vol50num6_2021/vol50num6_2021pg1799-1814.html |
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| Summary: | A fourth-order two stage Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta
method (PFAFDITDRK) for the numerical integration of first-order Initial Value Problems (IVPs) which exhibits periodic
solutions are constructed. The Phase-Fitted and Amplification-Fitted property are discussed thoroughly in this paper.
The stability of the method proposed are also given herewith. Runge-Kutta (RK) methods of the similar property are
chosen in the literature for the purpose of comparison by carrying out numerical experiments to justify the accuracy
and the effectiveness of the derived method. |
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