scholarly journals Numerical Solution of Second Order Initial Value Problems of Bratu-type Equations using Sixth Order Runge-Kutta Seven Stages Method

2019 ◽  
Vol 5 (1) ◽  
pp. 10
Author(s):  
Hibist Bazezew Fenta ◽  
Getachew Adamu Derese
Keyword(s):  
Numerical Solution ◽  
Initial Value Problems ◽  
Second Order ◽  
Sixth Order ◽  
Initial Value ◽  
Runge Kutta

Superstable implicit Runge-Kutta methods for second order initial value problems

1989 ◽  
Vol 29 (3) ◽  
pp. 518-526
Author(s):  
R. K. Jain ◽  
Rajive Kumar ◽  
Rakesh Goel
Keyword(s):  
Initial Value Problems ◽  
Second Order ◽  
Initial Value ◽  
Runge Kutta

scholarly journals Implicit Methods for Numerical Solution of Singular Initial Value Problems

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Md. Rahaman Habibur ◽  
M. Kamrul Hasan ◽  
Md. Ayub Ali ◽  
M. Shamsul Alam
Keyword(s):  
Singular Point ◽  
Numerical Solution ◽  
Initial Value Problems ◽  
Accurate Result ◽  
Implicit Method ◽  
Implicit Methods ◽  
Initial Value ◽  
Runge Kutta

AbstractVarious order of implicit method has been formulated for solving initial value problems having an initial singular point. The method provides better result than those obtained by used implicit formulae developed based on Euler and Runge-Kutta methods. Romberg scheme has been used for obtaining more accurate result.

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