AbstractNonlinear dynamical systems are shown to represent severe difficulties in modeling. When in addition they are solved by usual perturbative or linearizing methods, the mathematical solution may deviate seriously from the actual physical behavior. The latter problem is significantly alleviated by use of the decomposition method of the author. A number of examples are given
AbstractA class of nonlinear dynamical systems with random parameters and initial conditions is cons...
AbstractComparison of the Adomian decomposition method and regular perturbation techniques applied t...
We propose a new technique for obtaining reduced order models for nonlinear dynamical systems. Speci...
AbstractNonlinear dynamical systems are shown to represent severe difficulties in modeling. When in ...
AbstractThe decomposition method can be an effective procedure for solution of nonlinear and/or stoc...
AbstractThe decomposition method can be an effective procedure for analytical solution of a wide cla...
AbstractA number of important equations of physics are shown to fit into the structure of a nonlinea...
AbstractThe author's decomposition method [1] provides a new, efficient computational procedure for ...
AbstractThis paper is intended as a tutorial paper for a general scientific audience to introduce to...
AbstractExplicit solutions are calculated by the decomposition method for Burger's equation for comp...
Two of the most well-known nonlinear methods for investigating nonlinear dynamic processes in scienc...
AbstractApplication of the decomposition method and of the asymptotic decomposition method are consi...
AbstractThe author's decomposition method for the solution of operator equations which may be nonlin...
AbstractGeneric operator equations allowing multidimensional operators are solved by a decomposition...
AbstractThe decomposition method (G. Adomian, “Stochastic Systems,” Academic Press, New York, 1983) ...
AbstractA class of nonlinear dynamical systems with random parameters and initial conditions is cons...
AbstractComparison of the Adomian decomposition method and regular perturbation techniques applied t...
We propose a new technique for obtaining reduced order models for nonlinear dynamical systems. Speci...
AbstractNonlinear dynamical systems are shown to represent severe difficulties in modeling. When in ...
AbstractThe decomposition method can be an effective procedure for solution of nonlinear and/or stoc...
AbstractThe decomposition method can be an effective procedure for analytical solution of a wide cla...
AbstractA number of important equations of physics are shown to fit into the structure of a nonlinea...
AbstractThe author's decomposition method [1] provides a new, efficient computational procedure for ...
AbstractThis paper is intended as a tutorial paper for a general scientific audience to introduce to...
AbstractExplicit solutions are calculated by the decomposition method for Burger's equation for comp...
Two of the most well-known nonlinear methods for investigating nonlinear dynamic processes in scienc...
AbstractApplication of the decomposition method and of the asymptotic decomposition method are consi...
AbstractThe author's decomposition method for the solution of operator equations which may be nonlin...
AbstractGeneric operator equations allowing multidimensional operators are solved by a decomposition...
AbstractThe decomposition method (G. Adomian, “Stochastic Systems,” Academic Press, New York, 1983) ...
AbstractA class of nonlinear dynamical systems with random parameters and initial conditions is cons...
AbstractComparison of the Adomian decomposition method and regular perturbation techniques applied t...
We propose a new technique for obtaining reduced order models for nonlinear dynamical systems. Speci...
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