A Laplace decomposition algorithm applied to a class of nonlinear differential equations.
Khuri, Suheil A. (2001)
Journal of Applied Mathematics
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Khuri, Suheil A. (2001)
Journal of Applied Mathematics
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R. Hetnarski (1964)
Applicationes Mathematicae
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G. Giunta, G. Laccetti, M.R. Rizzardi (1989)
Numerische Mathematik
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Iqbal, M. (2001)
Journal of Applied Mathematics and Decision Sciences
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M. Sambath, K. Balachandran (2016)
Nonautonomous Dynamical Systems
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In this work, a combined form of the Laplace transform method and the Adomian decomposition method is implemented to give an approximate solution of nonlinear systems of differential equations such as fish farm model with three components nutrient, fish and mussel. The technique is described and illustrated with a numerical example.
D. Radunović (1984)
Matematički Vesnik
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Jaroslav Hančl (1990)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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D. Radunović (1986)
Matematički Vesnik
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George J. Tsamasphyros, Pericles S. Theocaris (1981)
Aplikace matematiky
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In order to use the well known representation of the Mellin transform as a combination of two Laplace transforms, the inverse function is represented as an expansion of Laguerre polynomials with respect to the variable . The Mellin transform of the series can be written as a Laurent series. Consequently, the coefficients of the numerical inversion procedure can be estimated. The discrete least squares approximation gives another determination of the coefficients of the series expansion....
J. Brilla (1983)
Numerische Mathematik
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