Hybrid Rational Haar Wavelet and Block Pulse Functions Method for Solving Population Growth Model and Abel Integral Equations

Hybrid Rational Haar Wavelet and Block Pulse Functions Method for Solving Population Growth Model and Abel Integral Equations

We use a computational method based on rational Haar wavelet for solving nonlinear fractional integro-differential equations. To this end, we apply the operational matrix of fractional integration for rational Haar wavelet. Also, to show the efficiency of the proposed method, we solve particularly p...

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Main Authors: E. Fathizadeh, R. Ezzati, K. Maleknejad
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/2465158
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spelling doaj-748803ad87764c0aa60a950ffb812d062020-11-24T20:57:59ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/24651582465158Hybrid Rational Haar Wavelet and Block Pulse Functions Method for Solving Population Growth Model and Abel Integral EquationsE. Fathizadeh0R. Ezzati1K. Maleknejad2Department of Mathematics, Islamic Azad University, Karaj Branch, Karaj, IranDepartment of Mathematics, Islamic Azad University, Karaj Branch, Karaj, IranDepartment of Mathematics, Islamic Azad University, Karaj Branch, Karaj, IranWe use a computational method based on rational Haar wavelet for solving nonlinear fractional integro-differential equations. To this end, we apply the operational matrix of fractional integration for rational Haar wavelet. Also, to show the efficiency of the proposed method, we solve particularly population growth model and Abel integral equations and compare the numerical results with the exact solutions.http://dx.doi.org/10.1155/2017/2465158
collection DOAJ
language English
format Article
sources DOAJ
author E. Fathizadeh
R. Ezzati
K. Maleknejad
spellingShingle E. Fathizadeh
R. Ezzati
K. Maleknejad
Hybrid Rational Haar Wavelet and Block Pulse Functions Method for Solving Population Growth Model and Abel Integral Equations
Mathematical Problems in Engineering
author_facet E. Fathizadeh
R. Ezzati
K. Maleknejad
author_sort E. Fathizadeh
title Hybrid Rational Haar Wavelet and Block Pulse Functions Method for Solving Population Growth Model and Abel Integral Equations
title_short Hybrid Rational Haar Wavelet and Block Pulse Functions Method for Solving Population Growth Model and Abel Integral Equations
title_full Hybrid Rational Haar Wavelet and Block Pulse Functions Method for Solving Population Growth Model and Abel Integral Equations
title_fullStr Hybrid Rational Haar Wavelet and Block Pulse Functions Method for Solving Population Growth Model and Abel Integral Equations
title_full_unstemmed Hybrid Rational Haar Wavelet and Block Pulse Functions Method for Solving Population Growth Model and Abel Integral Equations
title_sort hybrid rational haar wavelet and block pulse functions method for solving population growth model and abel integral equations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description We use a computational method based on rational Haar wavelet for solving nonlinear fractional integro-differential equations. To this end, we apply the operational matrix of fractional integration for rational Haar wavelet. Also, to show the efficiency of the proposed method, we solve particularly population growth model and Abel integral equations and compare the numerical results with the exact solutions.
url http://dx.doi.org/10.1155/2017/2465158
work_keys_str_mv AT efathizadeh hybridrationalhaarwaveletandblockpulsefunctionsmethodforsolvingpopulationgrowthmodelandabelintegralequations
AT rezzati hybridrationalhaarwaveletandblockpulsefunctionsmethodforsolvingpopulationgrowthmodelandabelintegralequations
AT kmaleknejad hybridrationalhaarwaveletandblockpulsefunctionsmethodforsolvingpopulationgrowthmodelandabelintegralequations
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