Generalized Abel Inversion Using Homotopy Perturbation Method
نویسندگان
چکیده
منابع مشابه
Generalized Abel Inversion Using Homotopy Perturbation Method
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 ...
متن کاملNumerical Inversion of the Abel Integral Equation using Homotopy Perturbation Method
Many problems in physics like reconstruction of the radially distributed emissivity from the line-ofsight 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. The aim of this communication is to propose a new algorithm for the Abel inversion by ...
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More recently, Wazwaz [An analytic study of Fisher’s equation by using Adomian decomposition method, Appl. Math. Comput. 154 (2004) 609–620] employed the Adomian decomposition method (ADM) to obtain exact solutions to Fisher’s equation and to a nonlinear diffusion equation of the Fisher type. In this paper, He’s homotopy perturbation method is employed for the generalized Fisher’s equation to o...
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Abstract:More recently, Wazwaz [An analytic study of Fisher’s equation by using Adomian decomposition method, Appl. Math. Comput. 154 (2004) 609–620] employed the Adomian decomposition method (ADM) to obtain exact solutions to Fisher’s equation and to a nonlinear diffusion equation of the Fisher type. In this paper, He’s homotopy perturbation method is employed for these equations to overcome t...
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ژورنال
عنوان ژورنال: Applied Mathematics
سال: 2011
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2011.22029