Numerical Solution for Partial Differential Equations (PDE's)

Language: English

Published by LAP LAMBERT Academic Publishing Feb 2012, 2012

3846582395 / 9783846582398

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This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 68 pp. Englisch.…

Seller Inventory # 9783846582398

Title
Numerical Solution for Partial Differential Equations (PDE's)
Author
Michael Mkwizu
Publisher
LAP LAMBERT Academic Publishing Feb 2012
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3846582395
ISBN 13
9783846582398
Item weight
119 grams
Dimensions
220x150x5 mm

buchversandmimpf2000

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