CAS Wavelet Function Method for Solving Abel Equations with Error Analysis

In this paper we use a computational method based on CAS wavelets for solving nonlinear fractional order Volterra integral equations. We solve particularly Abel equations. An operational matrix of fractional order integration for CAS wavelets is used. Block Pulse Functions (BPFs) and collocation met...

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Main Authors:	R. Ezzati, K. Maleknejad, E. Fathizadeh
Format:	Article
Language:	English
Published:	Ayandegan Institute of Higher Education, 2017-12-01
Series:	International Journal of Research in Industrial Engineering
Subjects:	abel integral equations cas wavelet fractional order volterra integral equations operational matrix error analysis
Online Access:	http://www.riejournal.com/article_54493_78da80d54334fe864a5d5dc0f111f61b.pdf

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spelling	doaj-ec50a08a0272460b8979855cf47785642021-09-06T05:49:25ZengAyandegan Institute of Higher Education,International Journal of Research in Industrial Engineering2783-13372717-29372017-12-016435036410.22105/riej.2017.100538.101754493CAS Wavelet Function Method for Solving Abel Equations with Error AnalysisR. Ezzati0K. Maleknejad1E. Fathizadeh2Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.In this paper we use a computational method based on CAS wavelets for solving nonlinear fractional order Volterra integral equations. We solve particularly Abel equations. An operational matrix of fractional order integration for CAS wavelets is used. Block Pulse Functions (BPFs) and collocation method are employed to derive a general procedure for forming this matrix. The error analysis of proposed numerical scheme is studied theoretically. Finally, comparison of numerical results with exact solution are shown.http://www.riejournal.com/article_54493_78da80d54334fe864a5d5dc0f111f61b.pdfabel integral equationscas waveletfractional order volterra integral equationsoperational matrixerror analysis
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	R. Ezzati K. Maleknejad E. Fathizadeh
spellingShingle	R. Ezzati K. Maleknejad E. Fathizadeh CAS Wavelet Function Method for Solving Abel Equations with Error Analysis International Journal of Research in Industrial Engineering abel integral equations cas wavelet fractional order volterra integral equations operational matrix error analysis
author_facet	R. Ezzati K. Maleknejad E. Fathizadeh
author_sort	R. Ezzati
title	CAS Wavelet Function Method for Solving Abel Equations with Error Analysis
title_short	CAS Wavelet Function Method for Solving Abel Equations with Error Analysis
title_full	CAS Wavelet Function Method for Solving Abel Equations with Error Analysis
title_fullStr	CAS Wavelet Function Method for Solving Abel Equations with Error Analysis
title_full_unstemmed	CAS Wavelet Function Method for Solving Abel Equations with Error Analysis
title_sort	cas wavelet function method for solving abel equations with error analysis
publisher	Ayandegan Institute of Higher Education,
series	International Journal of Research in Industrial Engineering
issn	2783-1337 2717-2937
publishDate	2017-12-01
description	In this paper we use a computational method based on CAS wavelets for solving nonlinear fractional order Volterra integral equations. We solve particularly Abel equations. An operational matrix of fractional order integration for CAS wavelets is used. Block Pulse Functions (BPFs) and collocation method are employed to derive a general procedure for forming this matrix. The error analysis of proposed numerical scheme is studied theoretically. Finally, comparison of numerical results with exact solution are shown.
topic	abel integral equations cas wavelet fractional order volterra integral equations operational matrix error analysis
url	http://www.riejournal.com/article_54493_78da80d54334fe864a5d5dc0f111f61b.pdf
work_keys_str_mv	AT rezzati caswaveletfunctionmethodforsolvingabelequationswitherroranalysis AT kmaleknejad caswaveletfunctionmethodforsolvingabelequationswitherroranalysis AT efathizadeh caswaveletfunctionmethodforsolvingabelequationswitherroranalysis
_version_	1717779995255898112

CAS Wavelet Function Method for Solving Abel Equations with Error Analysis

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