Revised version of exponentially fitted pseudo-Runge-Kutta method

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2021.114199 ◽

2021 ◽

Vol 13 (2) ◽

pp. 116

Author(s):

Shruti Tiwari ◽

Ram K. Pandey

Keyword(s):

Kutta Method ◽

Runge Kutta Method ◽

Exponentially Fitted ◽

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An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions

Computer Physics Communications ◽

10.1016/s0010-4655(98)00088-5 ◽

1998 ◽

Vol 115 (1) ◽

pp. 1-8 ◽

Author(s):

T.E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Kutta Method ◽

Initial Value ◽

Runge Kutta Method ◽

Oscillating Solutions ◽

Exponentially Fitted ◽

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Exponentially-fitted pseudo Runge-Kutta method

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2020.10033205 ◽

2020 ◽

Vol 12 (2) ◽

pp. 105

Author(s):

Shruti Tiwari ◽

Ram K. Pandey

Keyword(s):

Kutta Method ◽

Runge Kutta Method ◽

Exponentially Fitted ◽

Download Full-text

Exponentially-fitted pseudo Runge-Kutta method

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2020.111118 ◽

2020 ◽

Vol 12 (2) ◽

pp. 105

Author(s):

Shruti Tiwari ◽

Ram K. Pandey

Keyword(s):

Kutta Method ◽

Runge Kutta Method ◽

Exponentially Fitted ◽

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An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems

Computer Physics Communications ◽

10.1016/s0010-4655(00)00080-1 ◽

2000 ◽

Vol 131 (1-2) ◽

pp. 52-67 ◽

Author(s):

G. Avdelas ◽

T.E. Simos ◽

J. Vigo-Aguiar

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Initial Value Problems ◽

Schrodinger Equation ◽

Kutta Method ◽

Initial Value ◽

Runge Kutta Method ◽

Periodic Initial Value Problems ◽

Exponentially Fitted ◽

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A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrodinger equation

IMA Journal of Numerical Analysis ◽

10.1093/imanum/21.4.919 ◽

2001 ◽

Vol 21 (4) ◽

pp. 919-931 ◽

Author(s):

T. E. Simos

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

Kutta Method ◽

Runge Kutta Method ◽

Algebraic Order ◽

Exponentially Fitted ◽

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Revised version of exponentially fitted pseudo-Runge-Kutta method

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2021.10036885 ◽

2021 ◽

Vol 13 (2) ◽

pp. 116

Author(s):

Shruti Tiwari ◽

Ram K. Pandey

Keyword(s):

Kutta Method ◽

Runge Kutta Method ◽

Exponentially Fitted ◽

Download Full-text

An energy-preserving exponentially-fitted continuous stage Runge–Kutta method for Hamiltonian systems

BIT Numerical Mathematics ◽

10.1007/s10543-014-0474-4 ◽

2014 ◽

Vol 54 (3) ◽

pp. 777-799 ◽

Author(s):

Yuto Miyatake

Keyword(s):

Hamiltonian Systems ◽

Kutta Method ◽

Runge Kutta Method ◽

Exponentially Fitted ◽

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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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