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
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
