A New Meshless Collocation Method for Partial Differential Equations (Paperback)

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.

General

Imprint:	Lap Lambert Academic Publishing
Country of origin:	Germany
Release date:	2011
First published:	2011
Authors:	Mohammad Kamruzzaman
Dimensions:	229 x 152 x 7mm (L x W x T)
Format:	Paperback - Trade
Pages:	108
ISBN-13:	978-3-8443-0199-1
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > General
LSN:	3-8443-0199-2
Barcode:	9783844301991

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!