A trigonometrically fitted Runge–Kutta method for the numerical solution of orbital problems

New Astronomy ◽

10.1016/j.newast.2004.12.003 ◽

2005 ◽

Vol 10 (4) ◽

pp. 301-309 ◽

Author(s):

Z.A. Anastassi ◽

T.E. Simos

Keyword(s):

Numerical Solution ◽

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

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A Runge-Kutta method by using phase-lag and amplification error properties for the numerical solution of orbital problems

10.1063/1.4825721 ◽

2013 ◽

Author(s):

D. F. Papadopoulos ◽

T. E. Simos

Keyword(s):

Numerical Solution ◽

Phase Lag ◽

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

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A dispersive-fitted and dissipative-fitted explicit Runge–Kutta method for the numerical solution of orbital problems

New Astronomy ◽

10.1016/j.newast.2004.04.005 ◽

2004 ◽

Vol 10 (1) ◽

pp. 31-37 ◽

Author(s):

Z.A. Anastassi ◽

T.E. Simos

Keyword(s):

Numerical Solution ◽

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

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A Runge-Kutta method with zero phase-lag and derivatives for the numerical solution of orbital problems

10.1063/1.4756419 ◽

2012 ◽

Author(s):

D. F. Papadopoulos ◽

T. E. Simos

Keyword(s):

Numerical Solution ◽

Phase Lag ◽

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

Runge Kutta ◽

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A modified Runge-Kutta method with increased phase-lag and amplification error properties for the numerical solution of orbital problems

10.1063/1.4897865 ◽

2014 ◽

Author(s):

Athanasios N. Kanavos ◽

Dimitris F. Papadopoulos ◽

Theodore E. Simos

Keyword(s):

Numerical Solution ◽

Phase Lag ◽

Kutta Method ◽

Runge Kutta Method ◽

Orbital Problems ◽

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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 ◽

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 ◽

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Numerical Solution of Fuzzy Differential Equations by Seventh Order Runge-Kutta Method

Journal of Computer and Mathematical Sciences ◽

10.29055/jcms/1143 ◽

2019 ◽

Vol 10 (7) ◽

pp. 1518-1528

Author(s):

P. Rajkumar ◽

S. Rubanraj

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Kutta Method ◽

Runge Kutta Method ◽

Seventh Order ◽

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A Comparative Study on Numerical Solution of Initial Value Problem by Using Euler�s Method, Modified Euler�s Method and Runge-Kutta Method

Journal of Computer and Mathematical Sciences ◽

10.29055/jcms/784 ◽

2018 ◽

Vol 9 (5) ◽

pp. 493-500

Author(s):

Md. Kamruzzaman ◽

Mithun Chandra Nath

Keyword(s):

Comparative Study ◽

Numerical Solution ◽

Initial Value Problem ◽

Kutta Method ◽

Initial Value ◽

Runge Kutta Method ◽

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Numerical Solution of Volterra Integro–Differential Equation Using 6th Order Runge-Kutta Method

Journal of Physics Conference Series ◽

10.1088/1742-6596/1818/1/012183 ◽

2021 ◽

Vol 1818 (1) ◽

pp. 012183

Author(s):

A. F. Al-Shimmary ◽

A. K. Hussain ◽

S.K. Radhi

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Kutta Method ◽

Integro Differential Equation ◽

Runge Kutta Method ◽

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Mean square numerical solution of stochastic differential equations by fourth order Runge-Kutta method and its application in the electric circuits with noise

Advances in Difference Equations ◽

10.1186/s13662-015-0398-6 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Morteza Khodabin ◽

Majid Rostami

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Stochastic Differential Equations ◽

Fourth Order ◽

Mean Square ◽

Kutta Method ◽

Electric Circuits ◽

Runge Kutta Method ◽

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Numerical solution of fuzzy differential equations of nth-order by Runge–Kutta method

Neural Computing and Applications ◽

10.1007/s00521-012-0928-z ◽

2012 ◽

Vol 21 (S1) ◽

pp. 347-355 ◽

Author(s):

Nouredin Parandin

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Kutta Method ◽

Runge Kutta Method ◽

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