Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations
Improvements over embedded diagonally implicit Runge-Kutta pair of order four in five are presented. Method of higher stage order with a zero first row and the last row of the coefficient matrix is identical to the vector output is given. The stability aspect of it is also looked into and a standard...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Universiti Kebangsaan Malaysia
2010
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| Online Access: | http://journalarticle.ukm.my/7452/ http://journalarticle.ukm.my/7452/ http://journalarticle.ukm.my/7452/1/26_Ayiesah.pdf |
| Summary: | Improvements over embedded diagonally implicit Runge-Kutta pair of order four in five are presented. Method of higher stage order with a zero first row and the last row of the coefficient matrix is identical to the vector output is given. The stability aspect of it is also looked into and a standard test problems are solved using the method. Numerical results are tabulated and compared with the existing method. |
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