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381166

Analytical solution of Abel integral equation arising in astrophysics via Laplace transform

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Last updated: 31 Dec 2024

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Abstract

The main aim of the present work is to propose a new and simple algorithm for Abel
integral equation, namely homotopy perturbation transform method (HPTM). The homotopy perturbation transform method is an innovative adjustment in Laplace transform algorithm (LTA) and
makes the calculation much simpler. Abel's integral equation occurs in the mathematical modeling
of several models in physics, astrophysics, solid mechanics and applied sciences. The numerical
solutions obtained by proposed method indicate that the approach is easy to implement and computationally very attractive. Finally, several numerical examples are given to illustrate the accuracy
and stability of this method.

DOI

10.1016/j.joems.2014.02.004

Keywords

Laplace transform method, Abel’s integral equation, Homotopy Perturbation method, Mittag-Leffler function

Authors

First Name

Sunil

Last Name

Kumar

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Affiliation

Department of Mathematics, National Institute of Technology, Jamshedpur 831014, Jharkhand, India

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First Name

Amit

Last Name

Kumar

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Affiliation

Department of Mathematics, National Institute of Technology, Jamshedpur 831014, Jharkhand, India

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First Name

Devendra

Last Name

Kumar

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Affiliation

Department of Mathematics, Jagan Nath Gupta Institute of Engineering and Technology, Jaipur 302022, Rajasthan, India

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First Name

Jagdev

Last Name

Singh

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Affiliation

Department of Mathematics, Jagan Nath University, Village-Rampura, Tehsil-Chaksu, Jaipur 303901, Rajasthan, India

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First Name

Arvind

Last Name

Singh

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-

Affiliation

TDHC-Institute of Hydropiwer Engineering Technology, (IHET) Bhagirathipuram, New Tehri, India

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Volume

23

Article Issue

1

Related Issue

50465

Issue Date

2015-04-01

Receive Date

2024-09-23

Publish Date

2015-04-01

Page Start

102

Page End

107

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 1_Pages 102-107.pdf

PDF . 602.6kB

Link

https://joems.journals.ekb.eg/article_381166.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381166

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381,166

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Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Analytical solution of Abel integral equation arising in astrophysics via Laplace transform

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Article

Created At

21 Dec 2024