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Numerical solution for advection-diffusion equation using collocation based new radial basis function
Other Title(s)
الحل العددي لمعادلة الطاقة باستخدام دالة الأساس الشعاعي المركب
Joint Authors
Hadi, Intisar Ahmad
Ahmad, Said Jamil
Source
The Iraqi Journal for Mechanical and Materials Engineering
Issue
Vol. 16, Issue 2 (30 Jun. 2016), pp.143-156, 14 p.
Publisher
University of Babylon College of Engineering
Publication Date
2016-06-30
Country of Publication
Iraq
No. of Pages
14
Main Subjects
Abstract EN
In the present paper, a composite radial basis function was developed by a combination between thin plate and logarithmic radial basis functions.
This radial basis function was developed to overcome the singularity appeared when the source and field points coincide.
In based new radial function, the thin plate function was used when evaluating diagonal elements of the matrix coefficients and the logarithmic function was used for evaluating the other elements.
The advantage of using this new radial basis function represented by overcoming singularity from the diagonal elements when thin plate radialbasis function is used.
The new function is a combination of both multiquadric and thin plate radial basis functions.
One- and two-dimensional test examples were solved and the present results were compared with the analytical results and gave a good agreement in different applicant in applied mechanics and neural network .
Keywords: Collocation techniques, thin plate radial basis function, logarithmic radial basis function, advection-diffusion equation.
American Psychological Association (APA)
Hadi, Intisar Ahmad& Ahmad, Said Jamil. 2016. Numerical solution for advection-diffusion equation using collocation based new radial basis function. The Iraqi Journal for Mechanical and Materials Engineering،Vol. 16, no. 2, pp.143-156.
https://search.emarefa.net/detail/BIM-750720
Modern Language Association (MLA)
Hadi, Intisar Ahmad& Ahmad, Said Jamil. Numerical solution for advection-diffusion equation using collocation based new radial basis function. The Iraqi Journal for Mechanical and Materials Engineering Vol. 16, no. 2 (2016), pp.143-156.
https://search.emarefa.net/detail/BIM-750720
American Medical Association (AMA)
Hadi, Intisar Ahmad& Ahmad, Said Jamil. Numerical solution for advection-diffusion equation using collocation based new radial basis function. The Iraqi Journal for Mechanical and Materials Engineering. 2016. Vol. 16, no. 2, pp.143-156.
https://search.emarefa.net/detail/BIM-750720
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 154-156
Record ID
BIM-750720