The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 29-406
Full Name: Fudziah Ismail
Position: Associate Professor
Age: ON
Sex: Female
Address: Mathematics Department Universiti Putra Malaysia, Serdang 43400, Selangor
Country: MALAYSIA
Tel: 03 89466811
Tel prefix: 6
Fax: 60389437958
E-mail address: fudziah@math.upm.edu.my
Other E-mails: fudziah_i@yahoo.com.my
Title of the Paper: Solving Linear Ordinary Differential Equations using Singly Diagonally Implicit Runge-Kutta fifth five-stage method
Authors as they appear in the Paper: Fudziah Ismail, Nur Izzati Che Jawias, Mohamed Suleiman, Azmi Jaafar.
Email addresses of all the authors: nurizzatijawias@yahoo.com, mohameds@science.upm.edu.my, jaafarazmi@gmail.com
Number of paper pages: 10
Abstract: Abstract: - We constructed a new fifth order five-stage singly diagonally implicit Runge-Kutta (DIRK) method which is specially designed for the integrations of linear ordinary differential equations (LODEs). The restriction to linear ordinary differential equations (ODEs) reduces the number of conditions which the coefficients of the Runge-Kutta method must satisfy. The best strategy for practical purposes would be to choose the coefficients of the Runge-Kutta methods such that the error norm is minimized. Thus, here the error norm obtained from the error equations of the sixth order method is minimized so that the free parameters chosen are obtained from the minimized error norm. The stability aspect of the method is also looked into and found to have substantial region of stability, thus it is stable. Then a set of test problems are used to validate the method. Numerical results show that the new method is more efficient in terms of accuracy compared to the e!
xisting method.
Keywords: Runge-Kutta, Linear , Error Norm
EXTENSION of the file: .rtf
Special (Invited) Session: Singly Diagonally Implicit fifth order five-stage Runge-Kutta method for Linear Ordinary Differential Equations
Organizer of the Session: 613-205
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