A New Meshless Collocation Method for Partial Differential Equations

Language: English

Published by LAP LAMBERT Academic Publishing Jan 2011, 2011

3844301992 / 9783844301991

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This item is printed on demand - Print on Demand Titel. Neuware -A collocation meshless method is developed for the numerical solution of Partial Differential Equations (PDEs) on the scattered point distribution. The meshless shape functions are constructed on a group of selected nodes (stencil) arbitrarily distributed in a local support domain by means of a polynomial interpolation. This shape function formulation possesses the Kronecker delta function property, and hence many numerical treatments are as simple as those of the Finite Element Method (FEM). Nearest neighbor algorithm is used for the support domain nodes collection and a search algorithm based on the Gauss-Jordan pivot method is applied to select a suitable stencil for the construction of the shape functions and their derivatives. This search technique is subject to a monitoring procedure which selects appropriate stencil in order to keep the condition number of the resulting linear systems small. Various meshless collocation schemes for the solution of elliptic, parabolic and hyperbolic PDEs are investigated for the proposed method. Different types of PDEs are studied as test cases and all of the computational results are examined.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 108 pp. Englisch.…

Seller Inventory # 9783844301991

Title
A New Meshless Collocation Method for Partial Differential Equations
Author
Mohammad Kamruzzaman
Publisher
LAP LAMBERT Academic Publishing Jan 2011
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3844301992
ISBN 13
9783844301991
Item weight
179 grams
Dimensions
220x150x7 mm

buchversandmimpf2000

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