The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations

The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations

Abstract: There are some methods for solving integro-differential equations. In this work, we solve the general-order Feredholm integro-differential equations. The Petrov-Galerkin method by considering Chebyshev multiwavelet basis is used. By using the orthonormality property of basis elements in di...

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Bibliographic Details
Main Authors: k. Maleknejad, M. Rabbani
Format: Article
Language:English
Published: Iran University of Science & Technology 2007-01-01
Series:International Journal of Industrial Engineering and Production Research
Subjects:
Keywords: Integro-Differential; Petrov-Galerkin; Multiwavelet; Test Space; Trial Space;
Online Access:http://ijiepr.iust.ac.ir/browse.php?a_code=A-10-1-36&slc_lang=en&sid=1
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spelling doaj-371e46c6c02d4718b6c43302139c98ec2020-11-24T22:15:28ZengIran University of Science & TechnologyInternational Journal of Industrial Engineering and Production Research2008-48892345-363X2007-01-011811926The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equationsk. Maleknejad0M. Rabbani1 Abstract: There are some methods for solving integro-differential equations. In this work, we solve the general-order Feredholm integro-differential equations. The Petrov-Galerkin method by considering Chebyshev multiwavelet basis is used. By using the orthonormality property of basis elements in discretizing the equation, we can reduce an equation to a linear system with small dimension. For numerical examples, the solutions may be produced with good accuracy, by choosing suitable trial and test spaces in Petrov-Galerkin method.http://ijiepr.iust.ac.ir/browse.php?a_code=A-10-1-36&slc_lang=en&sid=1 Keywords: Integro-Differential; Petrov-Galerkin; Multiwavelet; Test Space; Trial Space;
collection DOAJ
language English
format Article
sources DOAJ
author k. Maleknejad
M. Rabbani
spellingShingle k. Maleknejad
M. Rabbani
The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations
International Journal of Industrial Engineering and Production Research
Keywords: Integro-Differential; Petrov-Galerkin; Multiwavelet; Test Space; Trial Space;
author_facet k. Maleknejad
M. Rabbani
author_sort k. Maleknejad
title The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations
title_short The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations
title_full The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations
title_fullStr The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations
title_full_unstemmed The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations
title_sort petrov-galerkin method and chebyshev multiwavelet basis for solving integro-differential equations
publisher Iran University of Science & Technology
series International Journal of Industrial Engineering and Production Research
issn 2008-4889
2345-363X
publishDate 2007-01-01
description Abstract: There are some methods for solving integro-differential equations. In this work, we solve the general-order Feredholm integro-differential equations. The Petrov-Galerkin method by considering Chebyshev multiwavelet basis is used. By using the orthonormality property of basis elements in discretizing the equation, we can reduce an equation to a linear system with small dimension. For numerical examples, the solutions may be produced with good accuracy, by choosing suitable trial and test spaces in Petrov-Galerkin method.
topic Keywords: Integro-Differential; Petrov-Galerkin; Multiwavelet; Test Space; Trial Space;
url http://ijiepr.iust.ac.ir/browse.php?a_code=A-10-1-36&slc_lang=en&sid=1
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AT mrabbani thepetrovgalerkinmethodandchebyshevmultiwaveletbasisforsolvingintegrodifferentialequations
AT kmaleknejad petrovgalerkinmethodandchebyshevmultiwaveletbasisforsolvingintegrodifferentialequations
AT mrabbani petrovgalerkinmethodandchebyshevmultiwaveletbasisforsolvingintegrodifferentialequations
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