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Solving Frontier Problems of Physics: The Decomposition Method
An electric watt-hour meter socket which is provided with means for by-passing the meter-socket contact prior to removal of the meter, thus enabling current to be supplied when necessary, and when the interruption of the current supply by removal ofthe meter, would otherwise occur. Expand
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A review of the decomposition method in applied mathematics
Abstract The decomposition method can be an effective procedure for analytical solution of a wide class of dynamical systems without linearization or weak nonlinearity assumptions, closureExpand
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Nonlinear Stochastic Operator Equations
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Nonlinear Stochastic Systems Theory and Applications to Physics
I: A Summary of the Decomposition Method.- 1: The Decomposition Method.- 1.1 Introduction.- 1.2 Summary of the Decomposition Method.- 1.3 Generation of the An Polynomials.- 1.4 The An forExpand
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A review of the decomposition method and some recent results for nonlinear equations
The decomposition method can be an effective procedure for solution of nonlinear and/or stochastic continuous-time dynamical systems without usual restrictive assumptions. This paper is intended as aExpand
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A new approach to nonlinear partial differential equations
Abstract The author's decomposition method for the solution of operator equations which may be nonlinear and/or stochastic is generalized to multidimensional cases.
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Solving frontier problems of physics : the decomposition methoc [i.e. method]
Preface. Foreword. 1. On Modelling Physical Phenomena. 2. The Decomposition Method for Ordinary Differential Equations. 3. The Decomposition Method in Several Dimensions. 4. Double Decomposition. 5.Expand
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Inversion of nonlinear stochastic operators
Abstract The operator-theoretic method (Adomian and Malakian, J. Math. Anal. Appl. 76(1), (1980), 183–201) recently extended Adomian's solutions of nonlinear stochastic differential equations (G.Expand
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Decomposition methods: A new proof of convergence
We propose a new convergence proof of Adomian's technique based on properties of convergent series. Then we deduce some results about the speed of convergence of this method allowing us to solveExpand
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Noise terms in decomposition solution series
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