Explicit schemes based on rational approximant for solving first order initial value problems

QR Code

Explicit schemes based on rational approximant for solving first order initial value problems

A class of rational methods of the second, third and fourth-order are proposed in this study. The formulas are developed based on a rational function with the denominator of degree one. Besides that, the concept of the closest points of approximation is also emphasized in formulating these methods...

Full description

Bibliographic Details
Main Authors:	A’in Nazifa Fairuz, Zanariah Abdul Majid, Zarina Bibi Ibrahim
Format:	Article
Language:	English
Published:	Penerbit Universiti Kebangsaan Malaysia 2020
Online Access:	http://journalarticle.ukm.my/16015/ http://journalarticle.ukm.my/16015/1/24.pdf

Similar Items

Rational methods for solving first order ordinary differential equation
by: Fairuz, A'in Nazifa
Published: (2019)

Explicit Runge-Kutta method with trigonometrically-fitted for solving first order ODEs
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2016)

Implicit two-point block method for solving fourth order initial value problem directly with application
by: Allogmany, Reem Ayed, et al.
Published: (2020)

Exponentially fitted explicit hybrid method for solving special second order initial value problems
by: Ismail, Fudziah, et al.
Published: (2010)

Modified exponential-rational methods for the numerical olution of first order initial value problems
by: Teh, Yuan Ying, et al.
Published: (2014)

One-step exponential-rational methods for the numerical solution of first order initial value problems
by: Teh, Yuan Ying, et al.
Published: (2013)

A new fifth order implicit block method for solving first order stiff ordinary differential equations
by: Musa, Hamisu, et al.
Published: (2014)

A new fourth-order explicit Runge-Kutta method for solving first order ordinary differential equations
by: Jikantoro, Yusuf Dauda, et al.
Published: (2012)

Rational finite difference approximation of high order accuracy for nonlinear two point boundary value problems
by: P.K. Pandey,
Published: (2014)

Embedded explicit two-step runge-kutta-nystr¨om for solving special second-order IVPs
by: Md Ariffin, Latifah, et al.
Published: (2018)

Solving third order boundary value problem with fifth order method
by: Ahmad Zulkifli, Ahmad Shah Abdullah, et al.
Published: (2012)

Solving fractional differential equations using fractional explicit method
by: Yip, Lian Yiung, et al.
Published: (2024)

Solving fractional differential equations using fractional explicit method
by: Yiung, Yip Lian, et al.
Published: (2024)

Fifth order 2−point implicit block method with an off-stage function for solving first order stiff initial value problems
by: Zainal, Siti Zhafirah
Published: (2014)

Predictor-corrector scheme for solving second order ordinary differential equations
by: Mohamat Johari, Mohamat Aidil, et al.
Published: (2022)

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)

Solving third order boundary value problem using fourth order block method
by: Abdullah, Ahmad Shah, et al.
Published: (2013)

Second derivative multistep method for solving first-order ordinary differential equations
by: Turki, Mohammed Yousif, et al.
Published: (2016)

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)

Extended one-step block method for solving stiff initial value problem
by: Mukhtar, Nur Zahidah, et al.
Published: (2015)

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

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

Optimized hybrid methods for solving oscillatory second order initial value problems
by: Senu, Norazak, et al.
Published: (2015)

Fourth-order explicit hybrid method for solving special second-order ordinary differential equations
by: Samat, Faieza, et al.
Published: (2012)

Embedded explicit two-step Runge-Kutta-Nystrom for solving special second-order IVPs
by: Ariffin, L. M., et al.
Published: (2014)

Intervalwise block partitioning for 3-point in solving linear systems of first order ordinary differential equations
by: Mahayadin, Mahfuzah, et al.
Published: (2016)

Direct one-step method for solving third-order boundary value problems
by: Abdulsalam Jasim, Athraa, et al.
Published: (2019)

Explicit hybrid methods for solving special second order ordinary differential equations
by: Samat, Faieza
Published: (2012)

An improved 2-point block backward differentiation formula for solving stiff initial value problems
by: Musa, Hamisu, et al.
Published: (2012)

New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems
by: Ahmad, Nur Amirah, et al.
Published: (2016)

Solving second order linear dirichlet and neumann boundary value problems by block method
by: Abdul Majid, Zanariah, et al.
Published: (2013)

Solving second order linear dirichlet and Neumann boundary value problems by block method
by: Abdul Majid, Zanariah, et al.
Published: (2013)

Solving directly two point boundary value problems using direct multistep method
by: Mahanum Diana Jafri,, et al.
Published: (2009)

Solving directly two point boundary value problems using direct multistep method.
by: Jafri, Mahanum Diana, et al.
Published: (2009)

Zero-dissipative explicit Runge-Kutta method for periodic initial value problems
by: Senu, Norazak, et al.
Published: (2014)

Numerical And Approximate- Analytical Solution Of Fuzzy Initial Value Problems
by: Al-Jassar, Ali Fareed Jameel
Published: (2015)

3-Point implicit block multistep method for solution of first order ODEs.
by: Mehrkanoon, S., et al.
Published: (2012)

Two and three point implicit second derivative block methods for solving first order ordinary differential equations
by: Turki, Mohammed Yousif, et al.
Published: (2019)

Solving boundary layer problem using fifth order block method
by: Phang, Pei See, et al.
Published: (2014)

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)