Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems
We constructed three two-step semi-implicit hybrid methods (SIHMs) for solving oscillatory second order ordinary differential equations (ODEs). The first two methods are three-stage fourth-order and three-stage fifth-order with dispersion order six and zero dissipation. The third is a four-stage fif...
| Main Authors: | Ahmad, Sufia Zulfa, Ismail, Fudziah, Senu, Norazak, Suleiman, Mohamed |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2013
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/30209/ http://psasir.upm.edu.my/id/eprint/30209/1/30209.pdf |
Similar Items
Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems
by: Ahmad, Sufia Zulfa, et al.
Published: (2012)
by: Ahmad, Sufia Zulfa, et al.
Published: (2012)
Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems
by: Ahmad, Sufia Zulfa, et al.
Published: (2017)
by: Ahmad, Sufia Zulfa, et al.
Published: (2017)
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)
Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems
by: Jikantoro, Y. D., et al.
Published: (2015)
by: Jikantoro, Y. D., et al.
Published: (2015)
A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations
by: Ahmad, Sufia Zulfa, et al.
Published: (2016)
by: Ahmad, Sufia Zulfa, et al.
Published: (2016)
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)
Optimized hybrid methods for solving oscillatory second order initial value problems
by: Senu, Norazak, et al.
Published: (2015)
by: Senu, Norazak, et al.
Published: (2015)
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)
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)
Hybrid and linear multistep methods for solving oscillatory second-order differential equation
by: Ahmad, Sufia Zulfa
Published: (2018)
by: Ahmad, Sufia Zulfa
Published: (2018)
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)
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)
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)
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)
Runge-Kutta-Nystrom Methods For Solving Oscillatory Problems
by: Senu, Norazak
Published: (2010)
by: Senu, Norazak
Published: (2010)
A new optimized Runge-Kutta method for solving oscillatory problems
by: Hussain, Kasim, et al.
Published: (2016)
by: Hussain, Kasim, 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 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)
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 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)
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)
Numerical solutions of single delay differential equations and special second order oscillatory initial value problems using Runge-Kutta and hybrid methods
by: Ahmad, Sufia Zulfa
Published: (2013)
by: Ahmad, Sufia Zulfa
Published: (2013)
Zero-dissipative trigonometrically fitted hybrid method
for numerical solution of oscillatory problems
by: Yusuf Dauda Jikantoro,, et al.
Published: (2015)
by: Yusuf Dauda Jikantoro,, et al.
Published: (2015)
Zero-dissipative trigonometrically fitted hybrid method for numerical solution of oscillatory problems
by: Jikantoro, Yusuf Dauda, et al.
Published: (2015)
by: Jikantoro, Yusuf Dauda, et al.
Published: (2015)
A zero-dissipative runge-kutta-nystrom method for oscillatory problems
by: Senu, Norazak, et al.
Published: (2009)
by: Senu, Norazak, et al.
Published: (2009)
A new fifth order implicit block method for solving first order stiff ordinary differential equations
by: Musa, Hamisu, et al.
Published: (2014)
by: Musa, Hamisu, et al.
Published: (2014)
Two-point explicit and implicit block multistep methods for solving special second order ordinary differential equations
by: Mansor, Aini Fadhlina, et al.
Published: (2017)
by: Mansor, Aini Fadhlina, et al.
Published: (2017)
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)
Extra derivative implicit block methods for integrating general second order initial value problems
by: Turki, Mohammed Yousif, et al.
Published: (2020)
by: Turki, Mohammed Yousif, et al.
Published: (2020)
A Zero-dissipative Runge-Kutta-Nyström Method with Minimal Phase-lag for Oscillatory Problems
by: Senu, Norazak, et al.
Published: (2009)
by: Senu, Norazak, et al.
Published: (2009)
High-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge–Kutta-type methods for solving third-order oscillatory problems
by: Lee, Khai Chien, et al.
Published: (2021)
by: Lee, Khai Chien, et al.
Published: (2021)
Two and three point implicit second derivative block methods for solving first order ordinary differential equations
by: Turki, Mohammed Yousif, et al.
Published: (2019)
by: Turki, Mohammed Yousif, et al.
Published: (2019)
Diagonally implicit hybrid method for solving special second order ordinary differential equations
by: Samat, Faieza, et al.
Published: (2016)
by: Samat, Faieza, et al.
Published: (2016)
Implicit block hybrid-like method for solving system of first order ordinary differential equations
by: Yap, Lee Ken, et al.
Published: (2015)
by: Yap, Lee Ken, et al.
Published: (2015)
Explicit and semi-implicit twostep hybrid method for solving special second-order IVPs / Nur Azila Yahya
by: Yahya, Nur Azila
Published: (2014)
by: Yahya, Nur Azila
Published: (2014)
Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs
by: Ismail, Fudziah
Published: (2010)
by: Ismail, Fudziah
Published: (2010)
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)
Diagonally implicit two and three derivative Runge-Kutta methods for solving first order oscillatory ordinary and delay differential equations
by: Ahmad, Nur Amirah
Published: (2020)
by: Ahmad, Nur Amirah
Published: (2020)
Similar Items
-
Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems
by: Ahmad, Sufia Zulfa, et al.
Published: (2012) -
Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems
by: Ahmad, Sufia Zulfa, et al.
Published: (2017) -
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) -
Zero-dissipative semi-implicit hybrid method for solving oscillatory or periodic problems
by: Jikantoro, Y. D., et al.
Published: (2015) -
A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations
by: Ahmad, Sufia Zulfa, et al.
Published: (2016)