Title of article
Embedded Pair of Diagonally Implicit Runge-Kutta Method for Solving Ordinary Differential Equations
Author/Authors
ISMAIL, FUDZIAH Universiti Putra Malaysia - Fakulti Sains - Jabatan Matematik, Malaysia , AL-KHASAWNEH, RAED ALI Universiti Putra Malaysia - Fakulti Sains - Jabatan Matematik, Malaysia , SULEIMAN, MOHAMED Universiti Putra Malaysia - Faculty of Science - Mathematics Department, Malaysia , ABU HASSAN, MALIK Universiti Putra Malaysia - Fakulti Sains - Jabatan Matematik, Malaysia
From page
1049
To page
1054
Abstract
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.
Keywords
Diagonally implicit , Runge , Kutta , stiff equations , stability
Record number
2554993
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