DOIONLINE 
DOIONLINE Publish In |
International Journal of Advances in Science, Engineering and Technology(IJASEAT)-IJASEAT |
 Journal Home Volume Issue |
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Issue |
Volume-5, Issue-4, Spl. Iss-2 ( Dec, 2017 ) | |||||||||
Paper Title |
Numerical Solution of an Integral Equation of Chandrasekhar Type in the Theory of Radiative Transfer | |||||||||
Author Name |
El-Sayed A. M. A., Ziada E. A. A, Hashem H. H. G. | |||||||||
Affilition |
Faculty of Science, Alexandria University, Alexandria, Egypt. NileHigher Institute for Engineering & Technology, Mansoura, Egypt. Faculty of Science, Qassim University, Buraidah, Saudi Arabia. | |||||||||
Pages |
27-31 | |||||||||
Abstract |
We are concerned here with a nonlinear quadratic integral equation (QIE) of Fredholm type. The existence of solutions will be proved. Convergence analysis of Adomian decomposition method (ADM) applied to these type of equations is discussed. Convergence analysis is reliable enough to estimate the maximum absolute truncated error of Adomian’s series solution. Mathematical subject classification: Primary: 39B82, 45M99, 47H09; Secondary: 44B20, 46C05. Keywords - Nonlinear quadratic integral equation; Chandrasekhar equation; Convergence analysis; Adomian method. | |||||||||
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