Boundary Galerkin Method of a Skew-Derivative Problem in the Exterior of an Open Arc Based on Chebyshev Polynomials
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A problem modeling Hall effect in a semiconductor film from an electrode of arbitrary shape is considered, which is a skew-derivative problem.
Boundary Galerkin method for solving the problem in Sobolev spaces is developed firstly.
The solution is represented in the form of the combined angular potential and single-layer potential.
The final integral equations do not contain hypersingular integrals.
Uniqueness and existence of the solution to the equations are proved.
The weakly singular and Cauchy singular integral arising in these equations can be computed directly by truncated series of Chebyshev polynomials with their weighting function without approximation.
The numerical simulation showing the high accuracy of the scheme is presented.
American Psychological Association (APA)
Sun, Wei& Ma, Fuming. 2013. Boundary Galerkin Method of a Skew-Derivative Problem in the Exterior of an Open Arc Based on Chebyshev Polynomials. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009113
Modern Language Association (MLA)
Sun, Wei& Ma, Fuming. Boundary Galerkin Method of a Skew-Derivative Problem in the Exterior of an Open Arc Based on Chebyshev Polynomials. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1009113
American Medical Association (AMA)
Sun, Wei& Ma, Fuming. Boundary Galerkin Method of a Skew-Derivative Problem in the Exterior of an Open Arc Based on Chebyshev Polynomials. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009113
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009113