Numerical Solution for Partial Differential Equations (PDE's) : The Stability of One Space Dimension Diffusion Equation with Finite Difference Methods
Language: English
Published by LAP LAMBERT Academic Publishing, 2012
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
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nach der Bestellung gedruckt Neuware - Printed after ordering - This book is intended to determine the stability of one space dimension diffusion equation. A Matlab code of finite difference methods with increment of time-space was used in which the behaviour of the errors was observed from the graphs. The explicit scheme was stable with Dirichlet boundary condition when considering space for r less than or equal to 0.5. It was observed that as the gradient alpha of temperature decreases with derivative boundary conditions, the interval of r for the explicit scheme stet stable decreases from the values r less than or equal to 0.5 corresponding to Dirichlet boundary conditions. When the term with coefficient gamma is added to the PDE,explicit scheme becomes stable depending to the value of gamma. The Crank-Nicolson and semi-analytic schemes were stable with both Dirichlet boundary conditions and derivative boundary conditions for all r. It was observed that the Crank-Nicolson scheme was accurate than explicit scheme. The semi-analytic method has only one source of error, the space discretization also it is able to solve for a vector of time simultaneously. But with sufficient small r all three methods were performed well.…
Seller Inventory # 9783846582398
- Title
- Numerical Solution for Partial Differential Equations (PDE's) : The Stability of One Space Dimension Diffusion Equation with Finite Difference Methods
- Author
- Michael Mkwizu
- Publisher
- LAP LAMBERT Academic Publishing
- Publication year
- 2012
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3846582395
- ISBN 13
- 9783846582398
- Item weight
- 119 grams
- Dimensions
- 220x150x5 mm
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