B-polynomial multiwavelets approach for the solution of Abel's integral equation

A numerical method for solving Abel's integral equation as singular Volterra integral equations is presented. The method is based upon Bernstein polynomial (B-polynomial) multiwavelet basis approximations. The properties of B-polynomial multiwavelets are first presented. These properties are th...

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Bibliographic Details
Published in:	International journal of computer mathematics Vol. 87; no. 2; pp. 310 - 316
Main Author:	Yousefi, S. A.
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 01-02-2010 Taylor & Francis Ltd
Subjects:	Abel's integral equations Algebra Approximation Bernstein polynomial Calculus Computer simulation Integral equations Mathematical analysis Mathematical models multiwavelets Numerical analysis Polynomials Validity Volterra integral equations
Online Access:	Get full text
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Summary:	A numerical method for solving Abel's integral equation as singular Volterra integral equations is presented. The method is based upon Bernstein polynomial (B-polynomial) multiwavelet basis approximations. The properties of B-polynomial multiwavelets are first presented. These properties are then utilized to reduce the singular Volterra integral equations to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0020-7160 1029-0265
DOI:	10.1080/00207160802036866