Numerical Solution of Second Order Initial Value Problems of Bratu-type Equations using Sixth Order Runge-Kutta Seven Stages Method
| Main Authors: | Fenta, Hibist Bazezew; Department of Mathematics Qebridhar University, Derese, Getachew Adamu; Bahir Dar University |
|---|---|
| Other Authors: | Bahir dar University |
| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
Institut Teknologi Sepuluh Nopember
, 2019
|
| Subjects: | |
| Online Access: |
http://iptek.its.ac.id/index.php/ijcsam/article/view/3806 http://iptek.its.ac.id/index.php/ijcsam/article/view/3806/3373 |
Daftar Isi:
- In this paper, second order initial value problem of Bratu-type ordinary differential equations is solved numerically using sixth order Runge-Kutta seven stages method. The stability of the method is checked and verified. In order to justify the validity and effectiveness of the method, two model examples are solved and the numerical solutions are compared to the corresponding exact solutions. Furthermore, the results obtained using the current method are compared with the numerical results obtained by other researchers. The numerical results in terms of point-wise absolute errors presented in tables and plotted graphs show that the present method approximates the exact solutions very well.