Optimal homotopy asymptotic method for solving Volterra integral equation of first kind

Optimal homotopy asymptotic method for solving Volterra integral equation of first kind

In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind. OHAM is applied to Volterra integral equations which involves exponential, trigonometric function as their kernels. It is observ...

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Main Authors: N. Khan, M.S. Hashmi, S. Iqbal, T. Mahmood
Format: Article
Language:English
Published: Elsevier 2014-09-01
Series:Alexandria Engineering Journal
Subjects:
Optimal homotopy asymptotic method
Integral equation
Volterra first kind
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016814000398
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spelling doaj-8c63ee9531564dc48b9268d7de8c072e2021-06-02T07:19:27ZengElsevierAlexandria Engineering Journal1110-01682014-09-0153375175510.1016/j.aej.2014.04.004Optimal homotopy asymptotic method for solving Volterra integral equation of first kindN. Khan0M.S. Hashmi1S. Iqbal2T. Mahmood3Department of Mathematics, The Islamia University of Bahawalpur, PakistanDepartment of Mathematics, CIIT Sahiwal, PakistanDepartment of Computer Science, CIIT Vehari, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, PakistanIn this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind. OHAM is applied to Volterra integral equations which involves exponential, trigonometric function as their kernels. It is observed that solution obtained by OHAM is more accurate than existing techniques, which proves its validity and stability for solving Volterra integral equation of first kind.http://www.sciencedirect.com/science/article/pii/S1110016814000398Optimal homotopy asymptotic methodIntegral equationVolterra first kind
collection DOAJ
language English
format Article
sources DOAJ
author N. Khan
M.S. Hashmi
S. Iqbal
T. Mahmood
spellingShingle N. Khan
M.S. Hashmi
S. Iqbal
T. Mahmood
Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
Alexandria Engineering Journal
Optimal homotopy asymptotic method
Integral equation
Volterra first kind
author_facet N. Khan
M.S. Hashmi
S. Iqbal
T. Mahmood
author_sort N. Khan
title Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
title_short Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
title_full Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
title_fullStr Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
title_full_unstemmed Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
title_sort optimal homotopy asymptotic method for solving volterra integral equation of first kind
publisher Elsevier
series Alexandria Engineering Journal
issn 1110-0168
publishDate 2014-09-01
description In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind. OHAM is applied to Volterra integral equations which involves exponential, trigonometric function as their kernels. It is observed that solution obtained by OHAM is more accurate than existing techniques, which proves its validity and stability for solving Volterra integral equation of first kind.
topic Optimal homotopy asymptotic method
Integral equation
Volterra first kind
url http://www.sciencedirect.com/science/article/pii/S1110016814000398
work_keys_str_mv AT nkhan optimalhomotopyasymptoticmethodforsolvingvolterraintegralequationoffirstkind
AT mshashmi optimalhomotopyasymptoticmethodforsolvingvolterraintegralequationoffirstkind
AT siqbal optimalhomotopyasymptoticmethodforsolvingvolterraintegralequationoffirstkind
AT tmahmood optimalhomotopyasymptoticmethodforsolvingvolterraintegralequationoffirstkind
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