A new fourth-order embedded method based on the harmonic mean

QR Code

A new fourth-order embedded method based on the harmonic mean

In this paper we formulate an embedded method based on harmonic and arithmetic means of order 4. This method together with RK-Harmonic scheme may be used to estimate the solutions of initial value problems. The absolute stability region of this scheme is also studied and we conclude with a numerical...

Full description

Bibliographic Details
Main Authors:	Yaacob, Nazeeruddin, Sanugi, Bahrom
Format:	Article
Language:	English
Published:	Department of Mathematics, Faculty of Science 1998
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/2413/ http://eprints.utm.my/2413/1/YaacobNazeeruddin1998_NewFourth-OrderEmbeddedMethod.pdf

Similar Items

Penganggaran dan pengawalan ralat dalam kaedah HaM-4(4) untuk penyelesaian masalah nilai awal
by: Yaacob, Nazeeruddin, et al.
Published: (1994)

A new non-linear multistep method based on centroidal mean in solving initial value problems
by: Yaacob, Nazeeruddin, et al.
Published: (2009)

A new analytical technique based on harmonic balance method to determine approximate periods for Duffing-harmonic oscillator
by: Hosen, Md. Alal, et al.
Published: (2015)

Fourth-Order Spline Methods For Solving Nonlinear Schrödinger Equation
by: Ahmad, Azhar
Published: (2021)

New nonlinear four-step method for y"=f(t,y)
by: Yaacob, Nazeeruddin, et al.
Published: (2003)

Penentuan bilangan sambungan dalam mesin hiperkubus menerusi persamaan beza
by: Sanugi, Bahrom
Published: (1993)

Satu kaedah siri Fourier untuk penyelesaian berangka masalah resapan tak linear
by: Sanugi, Bahrom
Published: (1992)

A new non-linear multistep method based on centroidal mean in solving initial value problems
by: Yaacob, Nazeeruddin, et al.
Published: (2009)

A new variant of arithmetic mean iterative method for fourth order integro-differential equations solution
by: Aruchunan, E., et al.
Published: (2016)

A comparison study on the harmonic balance method and rational harmonic balance method for the Duffing-harmonic oscillator
by: Hosen, Md. Alal, et al.
Published: (2016)

Parallel Processing Models For Image Processing Problems
by: Salleh, Shaharuddin, et al.
Published: (2002)

High performance computing of explicit schemes for electrofusion jointing process based on message-passing paradigm
by: Osman, Halijah, et al.
Published: (2005)

Numerical solution of first order initial value problem using 5-stage eight order Gauss-Kronrod method
by: Teh, Yuan Ying, et al.
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)

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)

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)

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)

A Neural Network for Common Due Date Job Scheduling Problem on Parallel Unrelated Machines
by: Hamad, Abdelaziz, et al.
Published: (2001)

A New class of rational multistep methods for solving initial value problem
by: Teh, Yuan Ying, et al.
Published: (2013)

Single Machine Common Due Date Scheduling Problems Using Neural Network
by: Hamad, Abdelaziz, et al.
Published: (2002)

Fuzzy logic model for dynamic multiprocessor scheduling
by: Salleh, Shaharuddin, et al.
Published: (1999)

Sin-Cos-Taylor-Like method for solving stiff ordinary diffrential equations
by: Ahmad, Rokiah @ Rozita, et al.
Published: (2005)

Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations
by: Sulaiman, Jumat, et al.
Published: (2009)

Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm
by: Yaacob, Nazeeruddin, et al.
Published: (2005)

On divergence of any order cesaaro mean of lotka-volterra operators
by: Saburov, Mansoor
Published: (2015)

High-order explicit one-step rational methods for solving initial value problems
by: Yaacob, Nazeeruddin, et al.
Published: (2008)

An integral equation related to the Riemann problem for a simply connected region with corners
by: Munira, I, et al.
Published: (2004)

Multi input intervention model for evaluating the impact of the asian crisis and terrorist attacks on tourist arrivals
by: Lee, Muhammad Hisyam, et al.
Published: (2010)

Solution of cubic-quintic Duffing oscillators using harmonic balance method
by: Hosen, Md. Alai, et al.
Published: (2014)

Approximate solutions for strongly nonlinear oscillators by using Harmonic Balance Method
by: Hosen, Md. Alal, et al.
Published: (2015)

Solution of cubic-quintic duffing oscillators using harmonic balance method
by: Hosen, Mdalal, et al.
Published: (2016)

Smart order tracker : Enhancing bakery operations with VBA
by: Suhaila, Bahrom
Published: (2024)

A new reliable analytical solution for strongly nonlinear oscillator with cubic and harmonic restoring force
by: Hosen, Md. Alal, et al.
Published: (2015)

GEOGIRA II : Pendekatan ke arah rekabentuk berbantukan komputer
by: Salleh, Shaharuddin, et al.
Published: (1992)

Two embedded pairs of Runge-Kutta type methods for direct solution of special fourth-order ordinary differential equations
by: Hussain, Kasim, et al.
Published: (2015)

Solution for a conservative nonlinear singular oscillator in plasma physics using harmonic balance method
by: Hosen, Md. Alal, et al.
Published: (2015)

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

Bezier curves method for fourth-order integrodifferential equations
by: Ghomanjani, Fateme, et al.
Published: (2013)

The numerical solution of the non-uniquely solvable Riemann problem using a Fredholm integral equation
by: Murid, Ali Hassan Mohamed, et al.
Published: (2004)

Development of pollution control technique using liquid fuel burner with swirling flow
by: Mohamed, Hazura, et al.
Published: (2008)