On the solution of the nonlinear wave equation by the decomposition method.
Kaya, D., Inc, M. (1999)
Bulletin of the Malaysian Mathematical Society. Second Series
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Kaya, D., Inc, M. (1999)
Bulletin of the Malaysian Mathematical Society. Second Series
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Mustafa Inc (2004)
Kragujevac Journal of Mathematics
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Kaya, D. (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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Kaya, Doǧan (2001)
Journal of Applied Mathematics
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Hussin, Che Haziqah Che, Kiliçman, Adem (2011)
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Annales Polonici Mathematici
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Kaya, Doğan (2001)
International Journal of Mathematics and Mathematical Sciences
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Adomian, G. (1989)
International Journal of Mathematics and Mathematical 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.
Pamuk, Serdal (2009)
Mathematical Problems in Engineering
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Zbigniew Burdak (2004)
Annales Polonici Mathematici
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A review of known decompositions of pairs of isometries is given. A new, finer decomposition and its properties are presented.
D. W. Solomon (1971)
Colloquium Mathematicae
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Adomian, G. (1996)
International Journal of Mathematics and Mathematical Sciences
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El-Kalla, Ibrahim L. (2007)
Applied Mathematics E-Notes [electronic only]
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T. Iwiński
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CONTENTSIntroduction.............................................................................................................................. 31. Definition of the Riccati equation of the n-th order....................................................... 62. Theorems on the existence of solutions of R equations. Relations between the solutions of linear differential equations and the solutions of the corresponding R equations..................................................................................................