An embedded exponentially fitted Runge–Kutta–Nyström method for the numerical solution of orbital problems

New Astronomy ◽

10.1016/j.newast.2006.03.001 ◽

2006 ◽

Vol 11 (8) ◽

pp. 577-587 ◽

Author(s):

Hans Van de Vyver

Keyword(s):

Numerical Solution ◽

Nyström Method ◽

Nystrom Method ◽

Orbital Problems ◽

Exponentially Fitted ◽

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Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions

Applied Mathematics Letters ◽

10.1016/s0893-9659(01)00121-5 ◽

2002 ◽

Vol 15 (2) ◽

pp. 217-225 ◽

Author(s):

T.E. Simos

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

Nyström Method ◽

Nystrom Method ◽

Oscillating Solutions ◽

Exponentially Fitted ◽

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A symplectic exponentially fitted modified Runge–Kutta–Nyström method for the numerical integration of orbital problems

New Astronomy ◽

10.1016/j.newast.2004.12.004 ◽

2005 ◽

Vol 10 (4) ◽

pp. 261-269 ◽

Author(s):

Hans Van de Vyver

Keyword(s):

Numerical Integration ◽

Nyström Method ◽

Nystrom Method ◽

Orbital Problems ◽

Exponentially Fitted ◽

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A Modiﬁed Runge-Kutta-Nyström Method by using Phase Lag Properties for the Numerical Solution of Orbital Problems

Applied Mathematics & Information Sciences ◽

10.12785/amis/070202 ◽

2013 ◽

Vol 7 (2) ◽

pp. 433-437 ◽

Author(s):

Dimitris F. Papadopoulos ◽

T.E. Simos

Keyword(s):

Numerical Solution ◽

Phase Lag ◽

Nyström Method ◽

Nystrom Method ◽

Orbital Problems ◽

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A modified phase-fitted and amplification-fitted Runge-Kutta-Nyström method for the numerical solution of the radial Schrödinger equation

Journal of Molecular Modeling ◽

10.1007/s00894-009-0626-7 ◽

2010 ◽

Vol 16 (8) ◽

pp. 1339-1346 ◽

Author(s):

D. F. Papadopoulos ◽

Z. A. Anastassi ◽

T. E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Nyström Method ◽

Nystrom Method ◽

Radial Schrödinger Equation ◽

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An optimized explicit Runge–Kutta–Nyström method for the numerical solution of orbital and related periodical initial value problems

Computer Physics Communications ◽

10.1016/j.cpc.2011.11.002 ◽

2012 ◽

Vol 183 (3) ◽

pp. 470-479 ◽

Author(s):

A.A. Kosti ◽

Z.A. Anastassi ◽

T.E. Simos

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

Nyström Method ◽

Nystrom Method ◽

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Construction of an optimized explicit Runge–Kutta–Nyström method for the numerical solution of oscillatory initial value problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.04.046 ◽

2011 ◽

Vol 61 (11) ◽

pp. 3381-3390 ◽

Author(s):

A.A. Kosti ◽

Z.A. Anastassi ◽

T.E. Simos

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

Nyström Method ◽

Nystrom Method ◽

Oscillatory Initial Value Problems ◽

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Numerical Solution for Hybrid Fuzzy Differential Equation by Fifth Order Runge-Kutta Nystrom Method

Journal of Mathematical Sciences and Modelling ◽

10.33187/jmsm.433538 ◽

2019 ◽

pp. 39-50

Author(s):

MUTHUKUMAR THANGAMUTHU

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Fuzzy Differential Equation ◽

Nyström Method ◽

Nystrom Method ◽

Runge Kutta ◽

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A phase-fitted Runge–Kutta–Nyström method for the numerical solution of initial value problems with oscillating solutions

Computer Physics Communications ◽

10.1016/j.cpc.2009.05.014 ◽

2009 ◽

Vol 180 (10) ◽

pp. 1839-1846 ◽

Author(s):

D.F. Papadopoulos ◽

Z.A. Anastassi ◽

T.E. Simos

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

Nyström Method ◽

Nystrom Method ◽

Oscillating Solutions ◽

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The Numerical Solution of Intuitionistic Fuzzy Differential Equations by the Third Order Runge-Kutta Nyström Method

Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications - Studies in Computational Intelligence ◽

10.1007/978-3-030-35445-9_11 ◽

2020 ◽

pp. 119-132 ◽

Author(s):

Bouchra Ben Amma ◽

Said Melliani ◽

S. Chadli

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Third Order ◽

Nyström Method ◽

Nystrom Method ◽

The Third ◽

Intuitionistic Fuzzy ◽

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A fourth order implicit symmetric and symplectic exponentially fitted Runge-Kutta-Nyström method for solving oscillatory problems

Numerical Algebra Control & Optimization ◽

10.3934/naco.2019006 ◽

2019 ◽

Vol 9 (1) ◽

pp. 71-84 ◽

Author(s):

Wenjuan Zhai ◽

◽

Bingzhen Chen ◽

Keyword(s):

Fourth Order ◽

Nyström Method ◽

Nystrom Method ◽

Exponentially Fitted ◽

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