Generalized Abel Inversion Using Homotopy Perturbation Method

Kumar, Sunil and Singh, Om P. and Dixit, Sandeep (2011) Generalized Abel Inversion Using Homotopy Perturbation Method. Applied Mathematics, 02 (02). pp. 254-257. ISSN 2152-7385

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Abstract

Many problems in physics like reconstruction of the radially distributed emissivity from the line-of-sight projected intensity, the 3-D image reconstruction from cone beam projections in computerized tomography, etc. lead naturally, in the case of radial symmetry, to the study of Abel’s type integral equation. Obtaining the physically relevant quantity from the measured one requires, therefore the inversion of the Abel’s integral equation. The aim of this letter is to present a user friendly algorithm to invert generalized Abel integral equation by using homotopy perturbation method. The stability of the algorithm is analysed. The validity and applicability of this powerful technique is illustrated through various particular cases which demonstrate its efficiency and simplicity in solving these types of integral equations.

Item Type: Article
Subjects: ScienceOpen Library > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 06 Jun 2023 06:31
Last Modified: 22 Jun 2024 08:59
URI: http://scholar.researcherseuropeans.com/id/eprint/1434

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