Variable order step size algorithm for solving second order ODEs

QR Code

Variable order step size algorithm for solving second order ODEs

Previous multi step method using a divided diﬀerence formulation for solving higher order ordinary diﬀerential equations (ODEs) requires calculating the integration co-eﬃcients at every step. In the current research, a multi step method in backwards diﬀerence form is established. The backward diﬀere...

Full description

Bibliographic Details
Main Authors:	Rasedee, Ahmad Fadly Nurullah, Abdul Sathar, Mohamad Hassan, Wong, Tze Ji, Koo, Lee Feng
Other Authors:	Asbullah, Muhammad Asyraf
Format:	Book Section
Language:	English
Published:	UPM Press 2019
Online Access:	http://psasir.upm.edu.my/id/eprint/79017/ http://psasir.upm.edu.my/id/eprint/79017/1/2019-chapterinbookvariablenocover.pdf

Similar Items

Variable order step size method for solving orbital problems with periodic solutions
by: Rasedee, A. F. N., et al.
Published: (2022)

Numerical algorithm of block method for general second order ODEs using variable step size
by: Nazreen Waeleh,, et al.
Published: (2017)

Numerical algorithm of block method for general second order ODEs using variable step size
by: Waeleh, Nazreen, et al.
Published: (2017)

Solving duffing type differential equations using a three-point block variable order step size method
by: Rasedee, Ahmad Fadly Nurullah, et al.
Published: (2019)

On the derivation of second order variable step variable order block backward differentiation formulae for solving stiff ODEs
by: Mohd Yatim, Siti Ainor, et al.
Published: (2013)

Five step block method for solving general second order ODEs directly
by: Abdul Majid, Zanariah, et al.
Published: (2012)

Variable steps implicit block multistep method for solving first order ODEs
by: S., Mehrkanoon, et al.
Published: (2010)

Variable step direct block multistep method for general second order ODEs
by: Waeleh, Nazreen, et al.
Published: (2014)

Development of high-order adaptive multi-step Runge–Kutta–Nyström method for solving special second-order ODEs
by: Abdulsalam, Athraa, et al.
Published: (2024)

Solution of higher order ODEs using backward difference method.
by: Suleiman, Mohamed, et al.
Published: (2011)

Variable order variable stepsize algorithm for solving nonlinear Duffing oscillator
by: Rasedee, Ahmad Fadly Nurullah, et al.
Published: (2017)

A new algorithm for solving higher order IVPs of ODEs
by: Waeleh, Nazreen, et al.
Published: (2011)

Diagonal R-point variable step variable order block method for solving second order ordinary differential equations
by: Zainuddin, Nooraini
Published: (2016)

Multivalue-multistage method for second-order ODEs
by: Ismail, Siti Ainathon, et al.
Published: (2016)

Stabilization of a Coupled Second Order ODE-wave System
by: Zhen, Z., et al.
Published: (2016)

Treating a single, stiff, second-order ODE directly
by: Suleiman, M.B., et al.
Published: (1989)

Variable step size block method for solving directly third order ordinary differential equations.
by: Abdul Majid, Zanariah, et al.
Published: (2010)

Variable order block method for solving second order ordinary differential equations
by: Zarina Bibi Ibrahim,, et al.
Published: (2019)

Variable order block method for solving second order ordinary differential equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2019)

Second-order blind signal separation with optimal step size
by: Dam, Hai Huyen, et al.
Published: (2013)

Implicit two-point block method with third and fourth derivatives for solving general second order ODEs
by: Allogmany, Reem Ayed, et al.
Published: (2019)

Developing parallel block method for solving higher order ODEs directly
by: Suleiman, Mohamed, et al.
Published: (2002)

Solving nonstiff higher order ODEs directly by the direct integration method
by: Suleiman, Mohamed
Published: (1989)

Implementation of 2-point 2-step methods for the solution of first order ODEs.
by: Mehrkanoon, S., et al.
Published: (2010)

Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs
by: Rajabi, Marzieh, et al.
Published: (2016)

A sixth-order RKFD method with four-stage for directly solving special fourth-order ODEs
by: Fudziah Ismail,, et al.
Published: (2016)

A sixth-order RKFD method with four-stage for directly solving special fourth-order ODEs
by: Ismail, Fudziah, 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)

New technique of VSVO coupled block method for solving first order ODEs.
by: Abdul Majid, Zanariah, et al.
Published: (2011)

Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability
by: Suleiman, Mohamed, et al.
Published: (1996)

Variable Step Variable Order Block Backward Differentiation Method For Solving Directly Higher Order Stiff Ordinary Differential Equations
by: Asnor, Asma Izzati
Published: (2023)

Parallel implementation of explicit 2 and 3-point block methods for solving system of special second order ODEs directly
by: Yap, Lee Ken, et al.
Published: (2011)

On the convergence of two point block backward differentiation formula for second order ODEs
by: Zainuddin, Nooraini, et al.
Published: (2016)

Accelerated gradient with optimal step size for second-order blind signal separation
by: Dam, Hai Huyen Heidi, et al.
Published: (2017)

Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations
by: Md Ariffin, Latifah, et al.
Published: (2013)

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)

Solution for nonlinear Duffing oscillator using variable order variable stepsize block method
by: Rasedee, Ahmad Fadly Nurullah, et al.
Published: (2017)

Convergence Proof of Some Generalised Backward Differentiation (GBDF) Methods to Solve the General Second Order Ordinary Differential Equations (ODE).
by: Suleiman, Mohamed
Published: (1984)

Solving general fourth order ODEs directly using four point block method
by: Abdul Majid, Zanariah, et al.
Published: (2011)

Variable step variable order block backward differentiation formulae for solving stiff ordinary differential equations
by: Mohd Yatim, Siti Ainor
Published: (2013)