A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations

QR Code

A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations

The aim of this paper is to introduce the Quarter-Sweep Arithmetic Mean (QSAM) method using the Quarter-Sweep Crank-Nicolson (QSCN) finite difference method for solving one-dimensional diffusion equations. The formulation of the QSAM method is developed by combining the concept of the quarter- sweep...

Full description

Bibliographic Details
Main Authors:	Sulaiman, J., Othman, Mohamed, Hasan, M.K.
Format:	Article
Language:	English
Published:	2009
Subjects:	Differential equations Numerical calculations
Online Access:	http://psasir.upm.edu.my/id/eprint/12754/

Similar Items

One-step block methods for solving ordinary and delay differential equations
by: Mohd Radzi, Hazwani
Published: (2011)

Implicit block methods with extra derivatives for solving general higher-order ordinary differential equations with applications
by: M., Allogmany Reem Ayed
Published: (2021)

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

Solving directly special third and fourth order ordinary differential equations using linear multistep and explicit Obrechkoff methods
by: Rajabi, Marzieh
Published: (2018)

Multistep block methods for solving higher order delay differential equations
by: Hoo, Yann Seong
Published: (2016)

Adaptive step size of diagonally implicit block backward differentiation formulas for solving first and second order stiff ordinary differential equations with applications
by: Mohd Ijam, Hazizah
Published: (2020)

Numerical methods for solving first and second order fuzzy differential equations
by: Afsharinafar, Reza
Published: (2014)

Block one-step methods for solving stiff differential equations
by: Mohd Zabidi, Muhammad Izzat Zakwan
Published: (2014)

Coupled block method for solving ordinary and delay differential equations
by: Hue, Chi San
Published: (2011)

Hybrid methods for solving higher order ordinary differential equations
by: Jikantoro, Yusuf Dauda
Published: (2018)

Solving matrix differential and integro-differential equations using differential transformation method and convolutions
by: Altun, Omer
Published: (2016)

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

Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2011)

Two-point block backward differentiation formula for solving higher order ordinary differential equations
by: Zainuddin, Nooraini
Published: (2011)

Multiblock Backward Differentiation Formulae for solving first order ordinary differential equations
by: Mohd Nasir, Nor Ain Azeany
Published: (2011)

Diagonally implicit two point block backward differentiation formulas for solving stiff ordinary differential equations and fuzzy differential equations
by: Mohd Zawawi, Iskandar Shah
Published: (2014)

Trigonometrically fitted multistep methods for solving oscillatory problems
by: Mansor, Aini Fadhlina
Published: (2017)

Block multistep methods for solving first order retarded and neutral delay differential equations
by: Abdul Aziz, Nurul Huda
Published: (2015)

Second derivative block methods for solving first and higher order ordinary differential equations
by: Turki, Mohammed Yousif
Published: (2018)

Block backward differentiation formulas for solving first and second order fuzzy differential equations
by: Tiaw, Kah Fook
Published: (2016)

Feedforward neural network for solving particular fractional differential equations
by: Admon, Mohd Rashid
Published: (2024)

Adam’s type block methods for solving neutral delay differential equation with constant and panthograph delay
by: Ismail, Nur Inshirah Naqiah
Published: (2019)

Partitioning ordinary differential equations using multistep formulas.
by: Suleiman, Mohamed, et al.
Published: (2008)

Family of singly diagonally implicit block backward differentiation formulas for solving stiff ordinary differential equations
by: Saufianim, Jana Aksah
Published: (2021)

Direct two-point block methods for solving nonstiff higher order Ordinary Differential Equations using Backward Difference formulation
by: Mohd Ijam, Hazizah
Published: (2014)

Diagonally implicit block backward differentiation formula with off step points for solving stiff ordinary differential equations
by: Abd Rasid, Norshakila
Published: (2021)

Phase-fitted and amplification-fitted Runge-Kutta type methods for solving linear differential equations with oscillatory solutions
by: Salih, Mohammed Mahmood
Published: (2016)

Direct one-step block methods for solving general second order non-stiff ordinary differential equations
by: Mukhtar, Nur Zahidah
Published: (2011)

Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2011)

Numerical methods for solving oscillatory and fuzzy differential equations
by: Dizicheh, Ali Karimi
Published: (2014)

Block methods based on Newton interpolation for solving special second order ordinary differential equations directly
by: Yap, Yee Ken, et al.
Published: (2008)

New classes of block backward differentiation formula for solving stiff initial value problems
by: Musa, Hamisu
Published: (2013)

Block backward differentiation methods for single delay differential equations
by: Heng, Siaw Ching
Published: (2012)

Block hybrid methods for numerical treatment of differential equations with applications
by: Yap, Lee Ken
Published: (2016)

Three-point diagonally implicit block methods for solving ordinary and fuzzy differential equations
by: Ismail, Nurzeehan
Published: (2014)

Solving ordinary differential equations using block multistep method
by: Mehrkanoon, Siamak
Published: (2011)

Quarter-sweep arithmetic mean algorithm for water quality model
by: Sulaiman, Jumat, et al.
Published: (2008)

Direct one-step block methods for solving special second order delay differential equations
by: Rasdi, Nadzirah
Published: (2013)

Predictor corrector block methods for solving ordinary differential equations
by: Waeleh, Nazreen
Published: (2011)

Block backward differentiation formula for solving ordinary and algebraic differential equations
by: Abasi, Naghmeh
Published: (2014)