The AGEB Algorithm for Solving the Heat Equation in Three Dimensions and Its Parallelization Using PVM
In this paper, a new algorithm in the class of the AGE method based on the Brian variant (AGEB) of the ADI is developed to solve the heat equation in 3 space dimensions. The method is it-erative, convergent, stable and second order accurate with respect to space and time. It is inherently explicit...
| Main Authors: | Sahimi, Mohd Salleh, Alias, Norma, Sundarajan, Elankovan |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin / Heidelberg
2001
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/6468/ http://eprints.utm.my/6468/1/age3d_norma.pdf |
Similar Items
The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM
by: Sahimi, Mohd Salleh, et al.
Published: (2001)
by: Sahimi, Mohd Salleh, et al.
Published: (2001)
The AGEB Algorithm for Solving Heat Equation in Two Space Dimensions and Its Parallelization on a Distributed Memory Machine
by: Alias, Norma, et al.
Published: (2001)
by: Alias, Norma, et al.
Published: (2001)
Parallel algorithms on some numerical techniques using PVM platform on a cluster of workstations
by: Alias, Norma, et al.
Published: (2002)
by: Alias, Norma, et al.
Published: (2002)
Parallelization using parallel virtual machine (PVM) / Norikhti Faqriah Azime
by: Azime, Norikhti Faqriah
Published: (2006)
by: Azime, Norikhti Faqriah
Published: (2006)
A review of the parallel algorithms for solving multidimensional PDE problems
by: Alias, Norma, et al.
Published: (2010)
by: Alias, Norma, et al.
Published: (2010)
Some parallel numerical methods in solving partial differential equations
by: Alias, Norma, et al.
Published: (2010)
by: Alias, Norma, et al.
Published: (2010)
An Efficient Parallel Quarter-sweep Point Iterative Algorithm
for Solving Poisson Equation on SMP Parallel Computer
by: M., Othman, et al.
Published: (2000)
by: M., Othman, et al.
Published: (2000)
A finite difference technique for solving incompressible fluid flow and energy equations on distributed parallel computer system
by: Manshoor, Bukhari, et al.
Published: (2006)
by: Manshoor, Bukhari, et al.
Published: (2006)
Two And Three-Point Block Methods For Solving First Order Ordinary Differential Equations In Parallel
by: Lee, Lai Soon
Published: (2000)
by: Lee, Lai Soon
Published: (2000)
Implementation of parallel three-point block codes for solving large systems of ordinary differential equations.
by: Abdul Majid, Zanariah, et al.
Published: (2010)
by: Abdul Majid, Zanariah, et al.
Published: (2010)
Parallel block method for solving delay differential equations.
by: Ishak, Fuziyah, et al.
Published: (2010)
by: Ishak, Fuziyah, et al.
Published: (2010)
Parallel Block Methods for Solving Ordinary Differential Equations
by: Abdul Majid, Zanariah
Published: (2004)
by: Abdul Majid, Zanariah
Published: (2004)
Discretization of Crack Propagation on Parallel Computing: Complexity and Parallel Algorithms with Source Code
by: Alias, Norma, et al.
Published: (2010)
by: Alias, Norma, et al.
Published: (2010)
Discretization of crack propagation on parallel computing: complexity and parallel algorithms with source code
by: Alias, Norma, et al.
Published: (2010)
by: Alias, Norma, et al.
Published: (2010)
Discretization of crack propagation on parallel computing : complexity and parallel algorithms with source code
by: Alias, Norma, et al.
Published: (2010)
by: Alias, Norma, et al.
Published: (2010)
Parabolic-elliptic correspondence of a three-level finite difference approximation to the heat equation
by: Sahimi, M. S., et al.
Published: (2003)
by: Sahimi, M. S., et al.
Published: (2003)
Communication and computational cost on parallel algorithm of PDE elliptic type
by: Alias, Norma
Published: (2009)
by: Alias, Norma
Published: (2009)
A High Accuracy Variant of The Iterative Alternating
Decomposition Explicit Method for Solving The Heat Equation
by: Sahimi, M. S., et al.
Published: (2006)
by: Sahimi, M. S., et al.
Published: (2006)
Some properties of Potato Virus M (PVM) in Crude Sap and in Pure Preparations
by: Ahmad, Ismail, et al.
Published: (1985)
by: Ahmad, Ismail, et al.
Published: (1985)
Parallel strategies on a distributed parallel computer system
by: Alias, Norma
Published: (2004)
by: Alias, Norma
Published: (2004)
Parallel block backward differentiation formulas for solving ordinary differential equations.
by: Othman, Khairil Iskandar, et al.
Published: (2008)
by: Othman, Khairil Iskandar, et al.
Published: (2008)
Parallel Execution of Runge-Kutta Methods for Solving Ordinary Differential Equations
by: Siri, Zailan
Published: (2004)
by: Siri, Zailan
Published: (2004)
A new high order iterative alternating decomposition explicit method to solve the heat conduction equation
by: Sahimi, M.S., et al.
Published: (2000)
by: Sahimi, M.S., et al.
Published: (2000)
The implementation of multigrid method for solving heat equation of thermal control system on printed circuit board
by: Alias, Norma, et al.
Published: (2009)
by: Alias, Norma, et al.
Published: (2009)
One-dimension high-order compact method for solving euler's equation
by: Mohamad, Mahmod Abd Hakim bin
Published: (2010)
by: Mohamad, Mahmod Abd Hakim bin
Published: (2010)
Sequential algorithm of parabolic equation in solving thermal control process on printed circuit board
by: Alias, Norma, et al.
Published: (2008)
by: Alias, Norma, et al.
Published: (2008)
Sequential algorithm of parabolic equation in solving thermal control process on printed circuit board
by: A. Ghaffar, Zarith Safiza, et al.
Published: (2008)
by: A. Ghaffar, Zarith Safiza, et al.
Published: (2008)
A Case Study: 2D Vs 3D Parallel Differential Equation toward Tumor Cell Detection on Multi-Core Parallel Computing Atmosphere
by: Islam, Md. Rajibul, et al.
Published: (2010)
by: Islam, Md. Rajibul, et al.
Published: (2010)
A case study : 2D Vs 3D parallel differential equation toward tumor cell detection on multi-core parallel computing atmosphere
by: Islam, Md. Rajibul, et al.
Published: (2010)
by: Islam, Md. Rajibul, et al.
Published: (2010)
Parallel Diagonally Implicit Runge-Kutta Methods For Solving Ordinary Differential Equations
by: Din, Ummul Khair Salma
Published: (2009)
by: Din, Ummul Khair Salma
Published: (2009)
Parallel block methods for solving higher order ordinary differential equations directly
by: Omar, Zurni
Published: (1999)
by: Omar, Zurni
Published: (1999)
Parallel method using MPI for solving large systems of delay differential equations
by: Ishak, Fuziyah, et al.
Published: (2012)
by: Ishak, Fuziyah, et al.
Published: (2012)
Parallel runge-kutta methods for solving linear stiff ordinary differential equations
by: Din, Ummul Khair Salma, et al.
Published: (2009)
by: Din, Ummul Khair Salma, et al.
Published: (2009)
Method of lines and runge-kutta method in solving partial differential equation for heat equation
by: Manshoor, Bukhari, et al.
Published: (2021)
by: Manshoor, Bukhari, et al.
Published: (2021)
New Quarter-Sweep-Based Accelerated Over-Relaxation Iterative Algorithms and their Parallel Implementations in Solving the 2D Poisson Equation
by: Rakhimov, Shukhrat
Published: (2010)
by: Rakhimov, Shukhrat
Published: (2010)
Parallel block backward differentiation formulas for solving large systems of ordinary differential equations.
by: Ibrahim, Zarina Bibi, et al.
Published: (2010)
by: Ibrahim, Zarina Bibi, et al.
Published: (2010)
High performance simulation for brain tumours growth using parabolic equation on heterogeneous parallel computer system
by: Pheng H. S.,, et al.
Published: (2007)
by: Pheng H. S.,, et al.
Published: (2007)
High performance simulation for brain tumors growth using parabolic equation on heterogeneous parallel computer systems
by: Pheng, H. S., et al.
Published: (2007)
by: Pheng, H. S., et al.
Published: (2007)
Tumor Growth Prediction Using Parallel Computing: Numerical Solutions based on Multi-dimensional Partial Differential Equation (PDE)
by: Alias, Norma, et al.
Published: (2010)
by: Alias, Norma, et al.
Published: (2010)
Tumor growth prediction using parallel computing: numerical solutions based on multi-dimensional partial differential equation (PDE)
by: Alias, Norma, et al.
Published: (2010)
by: Alias, Norma, et al.
Published: (2010)
Similar Items
-
The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM
by: Sahimi, Mohd Salleh, et al.
Published: (2001) -
The AGEB Algorithm for Solving Heat Equation in Two Space Dimensions and Its Parallelization on a Distributed Memory Machine
by: Alias, Norma, et al.
Published: (2001) -
Parallel algorithms on some numerical techniques using PVM platform on a cluster of workstations
by: Alias, Norma, et al.
Published: (2002) -
Parallelization using parallel virtual machine (PVM) / Norikhti Faqriah Azime
by: Azime, Norikhti Faqriah
Published: (2006) -
A review of the parallel algorithms for solving multidimensional PDE problems
by: Alias, Norma, et al.
Published: (2010)