Development of high-order adaptive multi-step Runge–Kutta–Nyström method for solving special second-order ODEs
Runge–Kutta–Nyström (RKN) methods are extensively used to obtain approximate solutions of ordinary differential equations (ODEs). Specifically, they are widely used to directly solve second-order ODEs of the special form. Although the derivation of new higher-order methods with fewer numbers of func...
| Main Authors: | Abdulsalam, Athraa, Senu, Norazak, Majid, Zanariah Abdul, Long, Nik Mohd Asri Nik |
|---|---|
| Format: | Article |
| Published: |
Elsevier
2024
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/105714/ |
Similar Items
Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs
by: Ariffin, L. M., et al.
Published: (2014)
by: Ariffin, L. M., et al.
Published: (2014)
Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
by: Md Ariffin, Latifah, et al.
Published: (2013)
by: Md Ariffin, Latifah, et al.
Published: (2013)
Fifth order Runge-Kutta-Nyström methods for solving linear second order oscillatory problems
by: Salih, Mohammed M., et al.
Published: (2016)
by: Salih, Mohammed M., et al.
Published: (2016)
Directly solving special second order delay differential equations using Runge-Kutta-Nystrom method
by: Mechee, Mohammed, et al.
Published: (2013)
by: Mechee, Mohammed, et al.
Published: (2013)
Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)
Exponentially-fitted Runge-Kutta Nystrom method of order three for solving oscillatory problems
by: Rabiei, Faranak, et al.
Published: (2014)
by: Rabiei, Faranak, et al.
Published: (2014)
Embedded explicit two-step runge-kutta-nystr¨om for solving special second-order IVPs
by: Md Ariffin, Latifah, et al.
Published: (2018)
by: Md Ariffin, Latifah, et al.
Published: (2018)
Construction of improved Runge-Kutta Nystrom method for solving second-order ordinary differential equations
by: Rabiei, Faranak, et al.
Published: (2012)
by: Rabiei, Faranak, et al.
Published: (2012)
Runge-Kutta-Nystrom Methods For Solving Oscillatory Problems
by: Senu, Norazak
Published: (2010)
by: Senu, Norazak
Published: (2010)
A three-stage explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
by: Md Ariffin, Latifah, et al.
Published: (2012)
by: Md Ariffin, Latifah, et al.
Published: (2012)
Two Step Runge-Kutta-Nyström method for solving second order ordinary differential equations
by: Md Ariffin, Latifah
Published: (2016)
by: Md Ariffin, Latifah
Published: (2016)
Two step runge-KUTTA-nystrom method for solving second-order ordinary differential equations
by: Md Ariffin, Latifah
Published: (2016)
by: Md Ariffin, Latifah
Published: (2016)
Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs
by: Ahmed Demba, Musa, et al.
Published: (2022)
by: Ahmed Demba, Musa, et al.
Published: (2022)
Efficient two-derivative Runge-Kutta-Nyström methods for solving general second-order ordinary differential equations y"(x) = f(x,y,y')
by: Salama, Tahani Mohamed, et al.
Published: (2018)
by: Salama, Tahani Mohamed, et al.
Published: (2018)
Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods
by: Demba, Musa A., et al.
Published: (2016)
by: Demba, Musa A., et al.
Published: (2016)
Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs
by: Ismail, Fudziah
Published: (2010)
by: Ismail, Fudziah
Published: (2010)
An embedded 5(4) explicit Runge-Kutta-Nyström method with dissipation of high order
by: Mohamad, Munirah, et al.
Published: (2012)
by: Mohamad, Munirah, et al.
Published: (2012)
Embedded diagonally implicit Runge–Kutta–Nystrom 4(3) pair for solving special second-order IVPs
by: Al-Khasawneh, Raed Ali, et al.
Published: (2007)
by: Al-Khasawneh, Raed Ali, et al.
Published: (2007)
A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems
by: Moo, Kwong Wing, et al.
Published: (2012)
by: Moo, Kwong Wing, et al.
Published: (2012)
An embedded explicit Runge-Kutta-Nystrom method for solving oscillatory problems
by: Senu, Norazak, et al.
Published: (2009)
by: Senu, Norazak, et al.
Published: (2009)
A new fourth-order four stage explicit trigonometrically-fitted Runge–Kutta–Nyström method for solving periodic problems
by: Demba, Musa Ahmed, et al.
Published: (2016)
by: Demba, Musa Ahmed, et al.
Published: (2016)
Fourth-order improved Runge–Kutta method for directly solving special third-order ordinary differential equations
by: Hussain, Kasim Abbas, et al.
Published: (2017)
by: Hussain, Kasim Abbas, et al.
Published: (2017)
Fourth-order improved Runge-Kutta method for directly solving special third-order ordinary differential equations
by: Hussain, Kasim Abbas, et al.
Published: (2017)
by: Hussain, Kasim Abbas, et al.
Published: (2017)
New phase-fitted and amplification-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for oscillatory problems
by: Moo, Kwong Wing, et al.
Published: (2013)
by: Moo, Kwong Wing, et al.
Published: (2013)
Runge-Kutta type direct methods for solving second and third order boundary value problems
by: Jasim Al-Ithawi, Athraa Abdulsalam
Published: (2019)
by: Jasim Al-Ithawi, Athraa Abdulsalam
Published: (2019)
Runge-Kutta type methods for directly solving special fourth-order ordinary differential equations
by: Hussain, Kasim Abbas, et al.
Published: (2015)
by: Hussain, Kasim Abbas, et al.
Published: (2015)
New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems
by: Demba, Musa Ahmed, et al.
Published: (2016)
by: Demba, Musa Ahmed, et al.
Published: (2016)
A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems
by: Moo, Kwong Wing, et al.
Published: (2014)
by: Moo, Kwong Wing, et al.
Published: (2014)
A fifth order phase-fitted Runge-Kutta-Nyström method for periodic initial value problems
by: Mohamad, Munirah, et al.
Published: (2013)
by: Mohamad, Munirah, et al.
Published: (2013)
Trigonometrically-fitted explicit Runge-Kutta-Nystrom methods for solving special second order ordinary differential equations with periodic solutions
by: Demba, Musa Ahmed
Published: (2016)
by: Demba, Musa Ahmed
Published: (2016)
Solving directly special fourth-order ordinary differential equations using Runge-Kutta type method
by: Hussain, Kasim, et al.
Published: (2016)
by: Hussain, Kasim, et al.
Published: (2016)
A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs
by: Moo, Kwong Wing, et al.
Published: (2013)
by: Moo, Kwong Wing, et al.
Published: (2013)
A 5(4) pair explicit Runge-Kutta-Nystrom method for solving oscillatory problems
by: Senu, Norazak, et al.
Published: (2009)
by: Senu, Norazak, et al.
Published: (2009)
Explicit Runge-Kutta-Nyström methods with high order dispersion and dissipation for solving oscillatory second order ordinary differential equation
by: Mohamad, Munirah
Published: (2013)
by: Mohamad, Munirah
Published: (2013)
A singly diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems.
by: Senu, Norazak, et al.
Published: (2011)
by: Senu, Norazak, et al.
Published: (2011)
Optimized fourth-order Runge-Kutta method for solving oscillatory problems
by: Hussain, Kasim Abbas, et al.
Published: (2016)
by: Hussain, Kasim Abbas, et al.
Published: (2016)
Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' )
by: Salama, Tahani Mohamed, et al.
Published: (2018)
by: Salama, Tahani Mohamed, et al.
Published: (2018)
Solutions of general second order ODEs using direct block method of Runge-Kutta type
by: Mukhtar, Nur Zahidah, et al.
Published: (2011)
by: Mukhtar, Nur Zahidah, et al.
Published: (2011)
Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs
by: Ismail, Fudziah, et al.
Published: (2013)
by: Ismail, Fudziah, et al.
Published: (2013)
Direct one-step method for solving third-order boundary value problems
by: Abdulsalam Jasim, Athraa, et al.
Published: (2019)
by: Abdulsalam Jasim, Athraa, et al.
Published: (2019)
Similar Items
-
Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs
by: Ariffin, L. M., et al.
Published: (2014) -
Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
by: Md Ariffin, Latifah, et al.
Published: (2013) -
Fifth order Runge-Kutta-Nyström methods for solving linear second order oscillatory problems
by: Salih, Mohammed M., et al.
Published: (2016) -
Directly solving special second order delay differential equations using Runge-Kutta-Nystrom method
by: Mechee, Mohammed, et al.
Published: (2013) -
Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)