Results 31 to 40 of about 1,407,788 (320)
Solving of some nonlinear ordinary differential equations in the form of power series
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2022 In the current scientific literature, a variety of nonlinear ordinary differential equations are widely and successfully used to describe real processes in various fields of natural sciences: optics, elasticity theory, molecular physics, etc. For example,
I.N. Belyaeva +2 more
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Solutions of nonlinear differential equations [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2009 We consider an ordinary nonlinear differential equation with generalized coefficients as an equation in differentials in algebra of new generalized functions. Then the solution of such equation will be a new generalized function. In the article we formulate necessary and sufficient conditions when the solution of the given equation in algebra of new ...
Bedziuk, Nadzeya, Yablonski, Aleh
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On Multilevel Picard Numerical Approximations for High-Dimensional Nonlinear Parabolic Partial Differential Equations and High-Dimensional Nonlinear Backward Stochastic Differential Equations [PDF]
Journal of Scientific Computing, 2017 Parabolic partial differential equations (PDEs) and backward stochastic differential equations (BSDEs) are key ingredients in a number of models in physics and financial engineering.
W. E +3 more
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Asymptotic stability of solutions of nonlinear fractional differential equations of order 1 < α < 2
上海师范大学学报. 自然科学版, 2015 This paper is mainly concerned with the asymptotic stability of the solutions of a class of nonlinear fractional differential equations of order 1 < α < 2 in a weighted Banach space.
GE Fudong, KOU Chunhai
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Position Dependent Mass Approach and Quantization for a Torus Lagrangian
, 2016 We have shown that a Lagrangian for a torus surface can yield second order nonlinear differential equations using the Euler-Lagrange formulation. It is seen that these second order nonlinear differential equations can be transformed into the nonlinear ...
Yesiltas, Ozlem
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Advances in Differential Equations, 2017 This work presents the homotopy perturbation transform method for nonlinear fractional partial differential equations of the Caputo-Fabrizio fractional operator. Perturbative expansion polynomials are considered to obtain an infinite series solution. The
J. Gómez-Aguilar +5 more
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Improved ()-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations
Abstract and Applied Analysis, 2013 The fractional complex transformation is used to transform nonlinear partial differential equations to nonlinear ordinary differential equations. The improved ()-expansion method is suggested to solve the space and time fractional foam drainage and KdV ...
Ali Akgül +2 more
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A New Application of Hermite Collocation Method [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2019 This paper reflects the advantage of a new approach of using Hermite orthogonal basis elements to solve nonlinear differential equations. This method is based on a successive integration technique. To illustrate the method and to establish the efficiency
Chandrali Baishya
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Perturbations of nonlinear differential equations [PDF]
Transactions of the American Mathematical Society, 1973 Scalar and vector comparison techniques are used to study the comparative asymptotic behavior of the systems (I) x' = f(t,x) and (2) y' = f(t,y) + g(t,y). Conditions are given which allow bounds for the solutions of (2) to-be obtained assuming a knowledge of the solutions of (1) and which guarantee the generalized asymptotic equivalence of (1) and (2).
Fennell, R. E., Proctor, T. G.
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, 2010 Combining recent moment and sparse semidefinite programming (SDP) relaxation techniques, we propose an approach to find smooth approximations for solutions of problems involving nonlinear differential equations.
Henrion, Didier +2 more
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