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

R. K. Jain; Rajive Kumar; Rakesh Goel

doi:10.1007/bf02219237

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

BIT Numerical Mathematics ◽

10.1007/bf02219237 ◽

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

Download Full-text

Multi-step Runge–Kutta–Nyström methods for special second-order initial value problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.11.002 ◽

2017 ◽

Vol 113 ◽

pp. 54-70 ◽

Cited By ~ 2

Author(s):

Jiyong Li ◽

Xianfen Wang

Keyword(s):

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Nyström Methods ◽

Runge Kutta

Download Full-text

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

International Journal of Computing Science and Applied Mathematics ◽

10.12962/j24775401.v5i1.3806 ◽

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

Download Full-text

Implementation of s-stage Implicit Runge-Kutta Method of Order 2s for Second Order Initial Value Problems

Journal of Applied Sciences ◽

10.3923/jas.2005.411.427 ◽

2005 ◽

Vol 5 (3) ◽

pp. 411-427 ◽

Cited By ~ 2

Author(s):

M. Sikander Hayat Khiy ◽

Khalid Rashid

Keyword(s):

Initial Value Problems ◽

Second Order ◽

Kutta Method ◽

Initial Value ◽

Runge Kutta Method ◽

Runge Kutta

Download Full-text

Runge-Kutta-Nyström interpolants for the numerical integration of special second-order periodic initial-value problems

Computers & Mathematics with Applications ◽

10.1016/0898-1221(93)90054-y ◽

1993 ◽

Vol 26 (12) ◽

pp. 7-15 ◽

Cited By ~ 23

Author(s):

T.E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Periodic Initial Value Problems ◽

Runge Kutta

Download Full-text

Collocation Runge–Kutta–Nyström methods for solving second-order initial value problems

International Journal of Computer Mathematics ◽

10.1080/00207160.2021.1900567 ◽

2021 ◽

pp. 1-22

Author(s):

N. S. Hoang

Keyword(s):

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Nyström Methods ◽

Runge Kutta

Download Full-text

A Runge—Kutta—Nyström method for the numerical integration of special second-order periodic initial-value problems

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(92)00114-o ◽

1994 ◽

Vol 51 (3) ◽

pp. 317-326 ◽

Cited By ~ 34

Author(s):

T.E. Simos ◽

E. Dimas ◽

A.B. Sideridis

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Nyström Method ◽

Nystrom Method ◽

Periodic Initial Value Problems ◽

Runge Kutta

Download Full-text

A Code Based on the Two-Stage Runge-Kutta Gauss Formula for Second-Order Initial Value Problems

ACM Transactions on Mathematical Software ◽

10.1145/1824801.1824803 ◽

2010 ◽

Vol 37 (3) ◽

pp. 1-30

Author(s):

Severiano González-Pinto ◽

Rogel Rojas-Bello

Keyword(s):

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Two Stage ◽

Runge Kutta

Download Full-text

A Variable Step Runge--Kutta--Nyström Integrator for Reversible Systems of Second Order Initial Value Problems

SIAM Journal on Scientific Computing ◽

10.1137/s030601727 ◽

2005 ◽

Vol 26 (3) ◽

pp. 963-978 ◽

Cited By ~ 6

Author(s):

J. R. Cash

Keyword(s):

Initial Value Problems ◽

Second Order ◽

Reversible Systems ◽

Initial Value ◽

Variable Step ◽

Runge Kutta

Download Full-text

Numerical Solution of Fuzzy Initial Value Problems by Fourth Order Runge-Kutta Method Based on Contraharmonic Mean

Indian Journal Of Applied Research ◽

10.15373/2249555x/apr2013/111 ◽

2011 ◽

Vol 3 (4) ◽

pp. 59-63 ◽

Cited By ~ 1

Author(s):

R. Gethsi Sharmila ◽

◽

E. C. Henry Amirtharaj

Keyword(s):

Numerical Solution ◽

Fourth Order ◽

Initial Value Problems ◽

Kutta Method ◽

Initial Value ◽

Runge Kutta Method ◽

Contraharmonic Mean ◽

Runge Kutta

Download Full-text

A second-order hybrid finite difference scheme for a system of singularly perturbed initial value problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.05.006 ◽

2010 ◽

Vol 234 (12) ◽

pp. 3445-3457 ◽

Cited By ~ 13

Author(s):

Zhongdi Cen ◽

Aimin Xu ◽

Anbo Le

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Initial Value Problems ◽

Second Order ◽

Singularly Perturbed ◽

Initial Value

Download Full-text