Results 21 to 30 of about 7,549 (163)
Applied Sciences, 2022 Calculating the large deflection of a cantilever beam is one of the common problems in engineering. The differential equation of a beam under large deformation, or the typical elastica problem, is hard to approximate and solve with the known solutions ...
Chencheng Lian +3 more
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Solving Nonlinear Algebraic Equations [PDF]
, 2016 As a reader of this book you are probably well into mathematics and often ‘‘accused’’ of being particularly good at ‘‘solving equations’’ (a typical comment at family dinners!). However, is it really true that you, with pen and paper, can solve many types of equations? Restricting our attention to algebraic equations in one unknown x, you can certainly
Svein Linge, Hans Petter Langtangen
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SICE Journal of Control, Measurement, and System Integration, 2018 This paper studies nonlinear finite-horizon optimal control problems with terminal constraints, where all nonlinear functions are rational or algebraic functions.
Tomoyuki Iori +2 more
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Determination of Approximate Periods of Duffing-harmonic Oscillator
Walailak Journal of Science and Technology, 2014 We introduced an analytical technique based on harmonic balance method (HBM) to determine approximate periods of a nonlinear Duffing-harmonic oscillator. Generally, a set of nonlinear algebraic equations are appeared when HBM is formulated.
Md. Alal HOSEN
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A Modified Energy Balance Method to Obtain Higher-order Approximations to the Oscillators with Cubic and Harmonic Restoring Force [PDF]
Journal of Applied and Computational Mechanics, 2020 This article analyzes a strongly nonlinear oscillator with cubic and harmonic restoring force and proposes an efficient analytical technique based on the modified energy balance method (MEBM). The proposed method incorporates higher-order approximations.
Md Alal Hosen +3 more
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On discrete analogues of nonlinear implicit differential equations
Advances in Difference Equations, 2006 This paper deals with some classes of nonlinear implicit difference equations obtained via discretization of nonlinear differential-algebraic or partial differential-algebraic equations.
Anh Pham Ky, Loi Le Cong
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Open Physics, 2021 This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical
Gepreel Khaled A., Mahdy Amr M. S.
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Alexandria Engineering Journal, 2015 The Duffing-harmonic oscillator is a common model for nonlinear phenomena in science and engineering. In this paper, a new analytical technique has been presented to determine approximate periods of a strongly nonlinear Duffing-harmonic oscillator ...
Md. Alal Hosen, M.S.H. Chowdhury
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Elimination and nonlinear equations of Rees algebras
Journal of Algebra, 2010 A new approach is established to computing the image of a rational map, whereby the use of approximation complexes is complemented with a detailed analysis of the torsion of the symmetric algebra in certain degrees. In the case the map is everywhere defined this analysis provides free resolutions of graded parts of the Rees algebra of the base ideal in
Busé, Laurent +2 more
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A Game—Theoretic Model for a Stochastic Linear Quadratic Tracking Problem
Axioms, 2023 In this paper, we solve a stochastic linear quadratic tracking problem. The controlled dynamical system is modeled by a system of linear Itô differential equations subject to jump Markov perturbations.
Vasile Drăgan +2 more
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