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Redistribution of Nodes with Two Constraints in Meshless Method of Line to Time-Dependent Partial Differential Equations
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-05
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Meshless method of line is a powerful device to solve time-dependent partial differential equations.
In integrating step, choosing a suitable set of points, such as adaptive nodes in spatial domain, can be useful, although in some cases this can cause ill-conditioning.
In this paper, to produce smooth adaptive points in each step of the method, two constraints are enforced in Equidistribution algorithm.
These constraints lead to two different meshes known as quasi-uniform and locally bounded meshes.
These avoid the ill-conditioning in applying radial basis functions.
Moreover, to generate more smooth adaptive meshes another modification is investigated, such as using modified arc-length monitor function in Equidistribution algorithm.
Influence of them in growing the accuracy is investigated by some numerical examples.
The results of consideration of two constraints are compared with each other and also with uniform meshes.
American Psychological Association (APA)
Biazar, Jafar& Hosami, Mohammad. 2015. Redistribution of Nodes with Two Constraints in Meshless Method of Line to Time-Dependent Partial Differential Equations. International Journal of Differential Equations،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1065521
Modern Language Association (MLA)
Biazar, Jafar& Hosami, Mohammad. Redistribution of Nodes with Two Constraints in Meshless Method of Line to Time-Dependent Partial Differential Equations. International Journal of Differential Equations No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1065521
American Medical Association (AMA)
Biazar, Jafar& Hosami, Mohammad. Redistribution of Nodes with Two Constraints in Meshless Method of Line to Time-Dependent Partial Differential Equations. International Journal of Differential Equations. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1065521
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1065521