On the complete integrability and linearization of nonlinear ordinary differential equations - Part II: Third order equations [PDF]
, 2005 We introduce a method for finding general solutions of third-order nonlinear differential equations by extending the modified Prelle-Singer method. We describe a procedure to deduce all the integrals of motion associated with the given equation so that ...
Chandrasekar, V. K. +2 more
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Formula manipulation in the bond graph modelling and simulation of large mechanical systems [PDF]
, 1985 A multibond graph element for a general single moving body is derived. A multibody system can easily be described as an interconnection of these elements.
Bos, A.M., Tiernego, M.J.L.
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The variational symmetries and conservation laws in classical theory of Heisenberg (anti)ferromagnet [PDF]
, 2002 The nonlinear partial differential equations describing the spin dynamics of Heisenberg ferro and antiferromagnet are studied by Lie transformation group method.
A.S. Ovchinnikov +15 more
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Alexandria Engineering Journal, 2016 AbstractThe present study further examines two recent semi-analytic methods, a reduced order of nonlinear differential transformation method (also called RDTM) and differential transformation method along with Pade approximation to discuss Jaulent–Miodek and coupled Whitham–Broer–Kaup equations.
Hamed Faghanpour Ganji +3 more
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Convergence of the Euler-Maruyama method for multidimensional SDEs with discontinuous drift and degenerate diffusion coefficient [PDF]
, 2018 We prove strong convergence of order $1/4-\epsilon$ for arbitrarily small $\epsilon>0$ of the Euler-Maruyama method for multidimensional stochastic differential equations (SDEs) with discontinuous drift and degenerate diffusion coefficient.
Leobacher, Gunther +1 more
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The $a_{3/2}$ heat kernel coefficient for oblique boundary conditions [PDF]
, 1998 We present a method for the calculation of the $a_{3/2}$ heat kernel coefficient of the heat operator trace for a partial differential operator of Laplace type on a compact Riemannian manifold with oblique boundary conditions.
Abramowitz M +35 more
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Linearly Solvable Stochastic Control Lyapunov Functions [PDF]
, 2016 This paper presents a new method for synthesizing stochastic control Lyapunov functions for a class of nonlinear stochastic control systems. The technique relies on a transformation of the classical nonlinear Hamilton-Jacobi-Bellman partial differential ...
Burdick, Joel W. +2 more
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A Numerical Method for Partial Differential Algebraic Equations Based on Differential Transform Method [PDF]
Abstract and Applied Analysis, 2013 Summary: We consider linear partial differential algebraic equations (LPDAEs) of the form \(Au_t(t, x) + Bu_{xx}(t, x) + Cu(t, x) = f(t, x)\), which have at least one singular matrix of \(A, B \in \mathbb R^{n \times n}\). We first introduce a uniform differential time index and a differential space index. The initial conditions and boundary conditions
Murat Osmanoglu, Mustafa Bayram
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Wronskian differential formula for k-confluent SUSY QM
, 2015 The confluent SUSY QM usually involves a second-order SUSY transformation where the two factorization energies converge to a single value. In order to achieve it, one generally needs to solve an indefinite integral, which limits the actual systems to ...
Bermudez, David
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Differential Transform Method for Some Delay Differential Equations
Applied Mathematics, 2015 This paper concentrates on the differential transform method (DTM) to solve some delay differential equations (DDEs). Based on the method of steps for DDEs and using the computer algebra system Mathematica, we successfully apply DTM to find the analytic solution to some DDEs, including a neural delay differential equation.
Baoqing Liu, Xiaojian Zhou, Qikui Du
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