Phase-fitted and amplification-fitted diagonally implicit Runge-Kutta method for the numerical solution of periodic problems
In this study, we construct a new Phase-fitted and Amplication-fitted Diagonally Implicit Runge-Kutta method (PFAFDIRK) for the numerical integration of first order Initial Value Problems (IVPs) which possesses oscillatory solutions. The phase-fitted and amplification-fitted method is based on exist...
| Main Authors: | Ahmad, Nur Amirah, Senu, Norazak, Ismail, Fudziah |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
International Knowledge Press
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/56232/ http://psasir.upm.edu.my/id/eprint/56232/1/Phase-fitted%20and%20amplification-fitted%20diagonally%20implicit%20Runge-Kutta%20method%20for%20the%20numerical%20solution%20of%20periodic%20problems.pdf |
Similar Items
Numerical study on Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method for periodic IVPs
by: Norazak Senu,, et al.
Published: (2021)
by: Norazak Senu,, et al.
Published: (2021)
Numerical study on phase-fitted and amplification-fitted diagonally implicit two derivative Runge-Kutta method for periodic IVPs
by: Senu, Norazak, et al.
Published: (2021)
by: Senu, Norazak, et al.
Published: (2021)
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)
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)
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)
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 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 new diagonally implicit Runge-Kutta-Nystrom method for periodic IVPs
by: Senu, Norazak, et al.
Published: (2010)
by: Senu, Norazak, et al.
Published: (2010)
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)
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)
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)
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 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)
A five-stage singly diagonally implicit Runge-Kutta-Nyström method with reduced phase-lag
by: Moo, Kwong Wing, et al.
Published: (2012)
by: Moo, Kwong Wing, et al.
Published: (2012)
Phase-fitted and amplification-fitted Runge-Kutta type methods for solving linear differential equations with oscillatory solutions
by: Salih, Mohammed Mahmood
Published: (2016)
by: Salih, Mohammed Mahmood
Published: (2016)
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)
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)
A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems
by: Fawzi, F. A., et al.
Published: (2016)
by: Fawzi, F. A., 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)
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)
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)
Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs.
by: Ismail, Fudziah, et al.
Published: (2009)
by: Ismail, Fudziah, et al.
Published: (2009)
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)
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)
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)
Embedded pair of diagonally implicit Runge-Kutta method for solving ordinary differential equations
by: Fudziah Ismail,, et al.
Published: (2010)
by: Fudziah Ismail,, et al.
Published: (2010)
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)
Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods
by: Ismail, Fudziah, et al.
Published: (2008)
by: Ismail, Fudziah, et al.
Published: (2008)
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)
The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations
by: Ismail, Fudziah, et al.
Published: (2000)
by: Ismail, Fudziah, et al.
Published: (2000)
Parallel Diagonally Implicit Runge-Kutta Methods For Solving Ordinary Differential Equations
by: Din, Ummul Khair Salma
Published: (2009)
by: Din, Ummul Khair Salma
Published: (2009)
Block Diagonally Implicit Runge-Kutta Method for Solving Ordinary Differential Equations
by: Rahim, Yong Faezah
Published: (2004)
by: Rahim, Yong Faezah
Published: (2004)
Diagonally Implicit Runge-Kutta Methods For Solving Linear Ordinary Differential Equations
by: Che Jawias, Nur Izzati
Published: (2009)
by: Che Jawias, Nur Izzati
Published: (2009)
Numerical study for periodical delay differential equations using Runge-Kutta with trigonometric interpolation
by: Senu, Norazak, et al.
Published: (2022)
by: Senu, Norazak, et al.
Published: (2022)
Zero-dissipative explicit Runge-Kutta method for periodic initial value problems
by: Senu, Norazak, et al.
Published: (2014)
by: Senu, Norazak, et al.
Published: (2014)
Stability analysis of diagonally implicit two derivative runge-kutta methods for solving delay differential equations
by: Ahmad, N. A., et al.
Published: (2022)
by: Ahmad, N. A., et al.
Published: (2022)
Fourth order four-stage diagonally implicit Runge-Kutta method for linear ordinary differential equations
by: Che Jawias, Nur Izzati, et al.
Published: (2010)
by: Che Jawias, Nur Izzati, et al.
Published: (2010)
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)
A 4(3) pair Runge-Kutta-Nystršm method for periodic initial value problems
by: Norazak Senu,, et al.
Published: (2010)
by: Norazak Senu,, et al.
Published: (2010)
Similar Items
-
Numerical study on Phase-fitted and Amplification-fitted Diagonally Implicit Two Derivative Runge-Kutta method for periodic IVPs
by: Norazak Senu,, et al.
Published: (2021) -
Numerical study on phase-fitted and amplification-fitted diagonally implicit two derivative Runge-Kutta method for periodic IVPs
by: Senu, Norazak, et al.
Published: (2021) -
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) -
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) -
New phase-fitted and amplification-fitted modified Runge-Kutta method for solving oscillatory problems
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)