New nonlinear four-step method for y"=f(t,y)
In this paper, a study is made on the possibility of developing a nonlinear four-step method based on contraharmonic mean. The study is done since the four-step methods always give higher order than popular methods like Numerov and classical Runge-Kutta methods. A detailed study of consistency, stab...
| Main Authors: | Yaacob, Nazeeruddin, Phang, Chang |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Department of Mathematics, Faculty of Science
2003
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/8810/ http://eprints.utm.my/8810/1/NazeeruddinYaacob2003_NewNonlinearFour-StepMethod.pdf |
Similar Items
A new fourth-order embedded method based on the harmonic mean
by: Yaacob, Nazeeruddin, et al.
Published: (1998)
by: Yaacob, Nazeeruddin, et al.
Published: (1998)
A new non-linear multistep method based on centroidal mean in solving initial value problems
by: Yaacob, Nazeeruddin, et al.
Published: (2009)
by: Yaacob, Nazeeruddin, et al.
Published: (2009)
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)
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)
High-order explicit one-step rational methods for solving initial value problems
by: Yaacob, Nazeeruddin, et al.
Published: (2008)
by: Yaacob, Nazeeruddin, et al.
Published: (2008)
Sin-Cos-Taylor-Like method for solving stiff ordinary diffrential equations
by: Ahmad, Rokiah @ Rozita, et al.
Published: (2005)
by: Ahmad, Rokiah @ Rozita, et al.
Published: (2005)
Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm
by: Yaacob, Nazeeruddin, et al.
Published: (2005)
by: Yaacob, Nazeeruddin, et al.
Published: (2005)
A New class of rational multistep methods for solving initial value problem
by: Teh, Yuan Ying, et al.
Published: (2013)
by: Teh, Yuan Ying, et al.
Published: (2013)
A new non-linear multistep method based on centroidal mean
in solving initial value problems
by: Yaacob, Nazeeruddin, et al.
Published: (2009)
by: Yaacob, Nazeeruddin, et al.
Published: (2009)
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)
Y-type Random 2-satisfiability In Discrete Hopfield Neural Network
by: Guo, Yueling
Published: (2024)
by: Guo, Yueling
Published: (2024)
A new class of rational multistep methods for the numerical solution of first order initial value problems
by: Teh, Yuan Ying, et al.
Published: (2011)
by: Teh, Yuan Ying, et al.
Published: (2011)
Numerical solution of first order initial value problem using 5-stage eight order Gauss-Kronrod method
by: Teh, Yuan Ying, et al.
Published: (2011)
by: Teh, Yuan Ying, et al.
Published: (2011)
Handwritten Chinese character recognition using x-y graphs decomposition and two-dimensional functional relationship model
by: Lee, Jia Chii
Published: (2011)
by: Lee, Jia Chii
Published: (2011)
Numerical solution of first order initial value problem using 4-stage sixth order Gauss-Kronrod-Radau 1 method
by: Teh, Yuan Ying, et al.
Published: (2011)
by: Teh, Yuan Ying, et al.
Published: (2011)
Numerical solution of first order initial value problem using 7-stage tenth order Gauss-Kronrod-Lobatto IIIA method
by: Teh, Yuan Ying, et al.
Published: (2013)
by: Teh, Yuan Ying, et al.
Published: (2013)
Numerical solution of first order initial value problem using 4-stage sixth order Gauss-Kronrod-Radau IIA method
by: Teh, Yuan Ying, et al.
Published: (2013)
by: Teh, Yuan Ying, et al.
Published: (2013)
Penganggaran dan pengawalan ralat dalam kaedah HaM-4(4) untuk penyelesaian masalah nilai awal
by: Yaacob, Nazeeruddin, et al.
Published: (1994)
by: Yaacob, Nazeeruddin, et al.
Published: (1994)
Differentiating the Persistency and Permanency of Some Two Stages DNA Splicing Language via Yusof-Goode (Y-G) Approach
by: Mudaber, Mohammad Hassan, et al.
Published: (2017)
by: Mudaber, Mohammad Hassan, et al.
Published: (2017)
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)
Thermal-induced nonlinearity of Ag Nano-Fluid prepared using y radiation method
by: Esmaeil Shahriari,, et al.
Published: (2011)
by: Esmaeil Shahriari,, et al.
Published: (2011)
Persistency and permanency of two stages splicing languages based on DNA recombination process by using Yusof-Goode (Y-G) approach
by: Mohammad Hassan, Mudaber
Published: (2015)
by: Mohammad Hassan, Mudaber
Published: (2015)
Overview on solving stiff problems using one-step methods
by: Tey, Kai Wean
Published: (2001)
by: Tey, Kai Wean
Published: (2001)
Block hybrid method for delay differential equations in variable step size
by: Wong, Chui Ching
Published: (2021)
by: Wong, Chui Ching
Published: (2021)
On the diophantine equation x²+2ª .zb= y³n
by: Amalul Hair, Nur Hidayah
Published: (2020)
by: Amalul Hair, Nur Hidayah
Published: (2020)
Three-step block method for solving nonlinear boundary value problems
by: Phang, Pei See, et al.
Published: (2014)
by: Phang, Pei See, et al.
Published: (2014)
A promising exponentially-fitted two-derivative Runge–Kutta–Nyström method for solving y′′=f(x,y): Application to Verhulst logistic growth model
by: Lee, K.C., et al.
Published: (2024)
by: Lee, K.C., et al.
Published: (2024)
A promising exponentially-fitted two-derivative Runge–Kutta–Nystrom method for solving y′′=f(x,y): Application to Verhulst logistic growth model
by: Lee, K.C., et al.
Published: (2024)
by: Lee, K.C., et al.
Published: (2024)
Approximate solutions for strongly nonlinear oscillators by using Harmonic Balance Method
by: Hosen, Md. Alal, et al.
Published: (2015)
by: Hosen, Md. Alal, et al.
Published: (2015)
The solution of Riccati type differential equation by means of variable step size backward difference methods
by: Rasedee, Ahmad Fadly Nurullah, et al.
Published: (2016)
by: Rasedee, Ahmad Fadly Nurullah, et al.
Published: (2016)
One-step exponential-rational methods for the numerical solution of first order initial value problems
by: Teh, Yuan Ying, et al.
Published: (2013)
by: Teh, Yuan Ying, et al.
Published: (2013)
New predictor-corrector scheme for solving nonlinear differential equations with Caputo-Fabrizio operator
by: Teng, Toh Yoke, et al.
Published: (2018)
by: Teng, Toh Yoke, et al.
Published: (2018)
Microstructure and superconducting properties of Y-Ba(Ca/K)-Cu-O (Y-123 and Y-358) systems synthesized using thermal treatment method
by: Dihom, Mustafa Mousa Ali
Published: (2018)
by: Dihom, Mustafa Mousa Ali
Published: (2018)
Soliton solutions to phi-four and strain wave equation through the exp -expansion method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2015)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2015)
Ergodic theory of nonlinear markov operators with applications in nonlinear consensus problems
by: Saburov, Mansoor
Published: (2016)
by: Saburov, Mansoor
Published: (2016)
A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force
by: Hosen, Md. Alal, et al.
Published: (2015)
by: Hosen, Md. Alal, et al.
Published: (2015)
On Gaussian nonlinear transformations
by: Ganikhodjaev, Nasir, et al.
Published: (2015)
by: Ganikhodjaev, Nasir, et al.
Published: (2015)
On Lebesgue nonlinear transformations
by: Ganikhodjaev, Nasir, et al.
Published: (2017)
by: Ganikhodjaev, Nasir, et al.
Published: (2017)
Ergodicity of nonlinear transformations
by: Ganikhodjaev, Nasir
Published: (2009)
by: Ganikhodjaev, Nasir
Published: (2009)
On poisson nonlinear transformations
by: Ganikhodjaev, Nasir, et al.
Published: (2014)
by: Ganikhodjaev, Nasir, et al.
Published: (2014)
Similar Items
-
A new fourth-order embedded method based on the harmonic mean
by: Yaacob, Nazeeruddin, et al.
Published: (1998) -
A new non-linear multistep method based on centroidal mean in solving initial value problems
by: Yaacob, Nazeeruddin, et al.
Published: (2009) -
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) -
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) -
High-order explicit one-step rational methods for solving initial value problems
by: Yaacob, Nazeeruddin, et al.
Published: (2008)