A toolkit for the development of parallel iterative PDE solvers: a preliminary study


Citation

Kok J.L., . and Norhashidah Mohd. Ali, . and Rosni Abdullah, . (2003) A toolkit for the development of parallel iterative PDE solvers: a preliminary study. [Proceedings Paper]

Abstract

Many important ecological and scientific problems fall into the field of partial differential equations p.d.e.s. The diffusion equation in particular plays a substantial role in modelling unsteady-state flow diffusion of material flow of fluids distribution of a certain-species population among others Okubo 1980. Consequently much effort has been devoted to the development of efficient and accurate numerical methods to solve such equations The advent of parallel computers has greatly influenced the numerical methods used for the solutions of these p.d.es. This paper presents such innovative ideas and techniques in solving p.d.e.s particularly the two dimensional steady-state diffusion equation and its unsteady-state counterparts. We describe a preliminary work towards developing a toolkit solving several two-dimensional p.d.e.s on a distributed computing system.


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Abstract

Many important ecological and scientific problems fall into the field of partial differential equations p.d.e.s. The diffusion equation in particular plays a substantial role in modelling unsteady-state flow diffusion of material flow of fluids distribution of a certain-species population among others Okubo 1980. Consequently much effort has been devoted to the development of efficient and accurate numerical methods to solve such equations The advent of parallel computers has greatly influenced the numerical methods used for the solutions of these p.d.es. This paper presents such innovative ideas and techniques in solving p.d.e.s particularly the two dimensional steady-state diffusion equation and its unsteady-state counterparts. We describe a preliminary work towards developing a toolkit solving several two-dimensional p.d.e.s on a distributed computing system.

Additional Metadata

[error in script]
Item Type: Proceedings Paper
AGROVOC Term: MATHEMATICAL MODELS
AGROVOC Term: METHODS
AGROVOC Term: EQUIPMENT
AGROVOC Term: COMPUTER SOFTWARE
AGROVOC Term: COMPUTER APPLICATIONS
AGROVOC Term: ANALYTICAL METHODS
AGROVOC Term: MALAYSIA
Geographical Term: MALAYSIA
Depositing User: Ms. Norfaezah Khomsan
Last Modified: 24 Apr 2025 05:27
URI: http://webagris.upm.edu.my/id/eprint/16281

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