High-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge–Kutta-type methods for solving third-order oscillatory problems
Three stage sixth-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge–Kutta-type methods are proposed for solving u'''(t) = f(t, u(t), u'(t)). The idea of construction is based on linear composition of the set functions ewt and e-wt for exponenti...
| Main Authors: | Lee, Khai Chien, Senu, Norazak, Ahmadian, Ali, Ibrahim, Siti Nur Iqmal |
|---|---|
| Format: | Article |
| Published: |
Springer Medizin
2021
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/97528/ |
Similar Items
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)
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)
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)
Exponentially fitted and trigonometrically fitted explicit modified Runge-Kutta type methods for solving y’’’ (x)=f (x,y,y’)
by: Ghawadri, Nizam Ghannam Fayez, et al.
Published: (2018)
by: Ghawadri, Nizam Ghannam Fayez, et al.
Published: (2018)
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)
Phase fitted and amplification fitted of Runge-Kutta-Fehlberg method of order 4(5) for solving oscillatory problems
by: Salih, Mohammed M., et al.
Published: (2020)
by: Salih, Mohammed M., et al.
Published: (2020)
A fourth algebraic order explicit trigonometrically- fitted modified Runge-Kutta method for the numerical solution of periodic IVPs
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)
Efficient frequency-dependent coefficients of explicit improved two-derivative Runge-Kutta type methods for solving third order IVPs
by: Chien, Lee Khai, et al.
Published: (2023)
by: Chien, Lee Khai, et al.
Published: (2023)
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)
Trigonometrically-fitted higher order two derivative Runge-Kutta method for solving orbital and related periodical IVPs
by: Ahmad, Nur Amirah, et al.
Published: (2019)
by: Ahmad, Nur Amirah, et al.
Published: (2019)
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)
A symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström method for the numerical solution of periodic problems
by: Demba, Musa A., et al.
Published: (2016)
by: Demba, Musa A., 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)
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)
New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)
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)
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 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)
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)
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)
Embedded 5(4) pair trigonometrically-fitted Two Derivative Runge- Kutta method with FSAL property for numerical solution of oscillatory problems
by: Senu, Norazak, et al.
Published: (2017)
by: Senu, Norazak, et al.
Published: (2017)
Block hybrid method with trigonometric-fitting for solving oscillatory problems
by: Fudziah Ismail,, et al.
Published: (2018)
by: Fudziah Ismail,, et al.
Published: (2018)
Block hybrid method with trigonometric-fitting for solving oscillatory problems
by: Ismail, Fudziah, et al.
Published: (2018)
by: Ismail, Fudziah, et al.
Published: (2018)
Explicit two-derivative Runge-Kutta type methods for solving third-order ordinary and retarded delay differential equations
by: Lee, Khai Chien
Published: (2022)
by: Lee, Khai Chien
Published: (2022)
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)
Runge-Kutta-Nystrom Methods For Solving Oscillatory Problems
by: Senu, Norazak
Published: (2010)
by: Senu, Norazak
Published: (2010)
A two-step trigonometrically fitted semi-implicit hybrid method for solving special second order oscillatory differential equation
by: Ahmad, Sufia Zulfa, et al.
Published: (2016)
by: Ahmad, Sufia Zulfa, et al.
Published: (2016)
Two point block multistep methods with trigonometric−fitting for solving oscillatory problems
by: Mansor, Aini Fadhlina, et al.
Published: (2019)
by: Mansor, Aini Fadhlina, et al.
Published: (2019)
A new fourth-order explicit Runge-Kutta method for solving first order ordinary differential equations
by: Jikantoro, Yusuf Dauda, et al.
Published: (2012)
by: Jikantoro, Yusuf Dauda, et al.
Published: (2012)
Runge-Kutta type methods for solving third-order ordinary differential equations and first-order oscillatory problems
by: Alshareeda, Firas Adel Fawzi
Published: (2017)
by: Alshareeda, Firas Adel Fawzi
Published: (2017)
Numerical study of third-order ordinary differential equations using a new class of two derivative Runge-Kutta type methods
by: Lee, Khai Chien, et al.
Published: (2020)
by: Lee, Khai Chien, et al.
Published: (2020)
Extra derivative multistep methods with trigonometric fitting for oscillatory problems
by: Ahmad, Sufia Zulfa, et al.
Published: (2019)
by: Ahmad, Sufia Zulfa, et al.
Published: (2019)
A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2015)
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2015)
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 trigonometrically adapted 6(4) explicit Runge–Kutta–Nyström pair to solve oscillating systems
by: Ahmed Demba, Musa, et al.
Published: (2022)
by: Ahmed Demba, Musa, et al.
Published: (2022)
Embedded explicit Runge–Kutta type methods for directly solving special third order differential equations y‴=f(x,y)
by: Senu, Norazak, et al.
Published: (2014)
by: Senu, Norazak, et al.
Published: (2014)
Phase-fitted and amplification-fitted higher order two-derivative Runge-Kutta method for the numerical solution of orbital and related periodical IVPs
by: Ahmad, Nur Amirah, et al.
Published: (2017)
by: Ahmad, Nur Amirah, 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)
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)
Similar Items
-
Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs
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) -
Fifth-order four-stage explicit trigonometrically-fitted Runge–Kutta–Nyström methods
by: Demba, Musa A., et al.
Published: (2016) -
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) -
Exponentially fitted and trigonometrically fitted explicit modified Runge-Kutta type methods for solving y’’’ (x)=f (x,y,y’)
by: Ghawadri, Nizam Ghannam Fayez, et al.
Published: (2018)