Solving High-Order Uncertain Differential Equations via Runge–Kutta Method

IEEE Transactions on Fuzzy Systems ◽

10.1109/tfuzz.2017.2723350 ◽

2018 ◽

Vol 26 (3) ◽

pp. 1379-1386 ◽

Author(s):

Xiaoyu Ji ◽

Jian Zhou

Keyword(s):

Differential Equations ◽

Kutta Method ◽

Runge Kutta Method ◽

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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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Two-sided Runge-Kutta method accurate to sixth order for second-order ordinary differential equations

Journal of Mathematical Sciences ◽

10.1007/bf01250583 ◽

1994 ◽

Vol 69 (6) ◽

pp. 1404-1409

Author(s):

N. S. Golovan’ ◽

N. Ya. Lyashchenko

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Order ◽

Sixth Order ◽

Kutta Method ◽

Runge Kutta Method ◽

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Stepwise Global Error Control in an Explicit Runge-Kutta Method Using Local Extrapolation with High-Order Selective Quenching

Journal of Mathematics Research ◽

10.5539/jmr.v3n2p126 ◽

2011 ◽

Vol 3 (2) ◽

Author(s):

Justin Steven Prentice

Keyword(s):

Error Control ◽

Global Error ◽

Kutta Method ◽

Runge Kutta Method ◽

Runge Kutta ◽

Local Extrapolation

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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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Developments in Runge–Kutta Method to Solve Ordinary Differential Equations

Recent Advances in Mathematics for Engineering ◽

10.1201/9780429200304-9 ◽

2020 ◽

pp. 193-202

Author(s):

Geeta Arora ◽

Varun Joshi ◽

Isa Sani Garki

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Kutta Method ◽

Runge Kutta Method ◽

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Numerical Treatments for Nonlinear Integro-Fractional Differential Equations of Volterra-Hammerstein Type using Runge-Kutta Method with the aid of Finite Difference Approximation

Journal of Zankoy Sulaimani - Part A ◽

10.17656/jzs.10859 ◽

2021 ◽

Vol 23 (2) ◽

pp. 129-146

Author(s):

Shazad Shawki Ahmed ◽

◽

Mariwan Rashid Ahmed ◽

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Fractional Differential Equations ◽

Finite Difference Approximation ◽

Difference Approximation ◽

Kutta Method ◽

Runge Kutta Method ◽

Fractional Differential ◽

Runge Kutta ◽

Numerical Treatments

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Modified Fractional Runge–Kutta Method for Solving Fuzzy Differential Equations of Fractional Order

National Academy Science Letters ◽

10.1007/s40009-019-00867-1 ◽

2020 ◽

Vol 43 (4) ◽

pp. 355-359

Author(s):

S. Narayanamoorthy ◽

K. Thangapandi

Keyword(s):

Differential Equations ◽

Fractional Order ◽

Kutta Method ◽

Runge Kutta Method ◽

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The stability of the fourth order Runge-Kutta method for the solution of systems of differential equations

Communications of the ACM ◽

10.1145/365170.365213 ◽

1966 ◽

Vol 9 (2) ◽

pp. 113-116 ◽

Author(s):

Abbas I. Abdel Karim

Keyword(s):

Differential Equations ◽

Fourth Order ◽

Kutta Method ◽

Runge Kutta Method ◽

Systems Of Differential Equations ◽

Runge Kutta ◽

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A parallel implicit Runge-Kutta method for solving ordinary differential equations

Proceedings of the 17th annual Southeast regional conference on - ACM-SE 17 ◽

10.1145/503506.503540 ◽

1979 ◽

Author(s):

Michael C. Green

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Kutta Method ◽

Runge Kutta Method ◽

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