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

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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

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Continuous extensions to Nyström methods for second order initial value problems

BIT Numerical Mathematics ◽

10.1007/bf01731986 ◽

1996 ◽

Vol 36 (2) ◽

pp. 309-332 ◽

Cited By ~ 2

Author(s):

Arne Marthinsen

Keyword(s):

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Nyström Methods

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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

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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

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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

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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

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Modified multi-step Nyström methods for oscillatory general second-order initial value problems

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1737860 ◽

2020 ◽

pp. 1-15

Author(s):

Jiyong Li ◽

Yachao Gao

Keyword(s):

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Nyström Methods

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NEW EXPLICIT TRIGONOMETRICALLY-FITTED FOURTH-ORDER AND FIFTH-ORDER RUNGE--KUTTA--NYSTROM METHODS FOR PERIODIC INITIAL VALUE PROBLEMS

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v109i2.4 ◽

2016 ◽

Vol 109 (2) ◽

Cited By ~ 1

Author(s):

M.A. Demba ◽

N. Senu ◽

F. Ismail

Keyword(s):

Fourth Order ◽

Initial Value Problems ◽

Initial Value ◽

Nyström Methods ◽

Periodic Initial Value Problems ◽

Runge Kutta ◽

Fifth Order

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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

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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

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