Results 11 to 20 of about 491,048 (337)
Analysis of fractional partial differential equations by Taylor series expansion [PDF]
Boundary Value Problems, 2013 We develop a formulation for the analytic or approximate solution of fractional differential equations (FDEs) by using respectively the analytic or approximate solution of the differential equation, obtained by making fractional order of the original ...
A. Demir +3 more
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Boundary value and expansion problems of ordinary linear differential equations [PDF]
Transactions of the American Mathematical Society, 1908 (4) M(v)+\v O and n like adpoint conditions (5) V1(v) O, V2(v)°, 2 V"(e) For certain characteristic valqbes of the conlplex parameter X there will exist *The second part of a paper presented to the Society (Chicago), March 30,1907, under a different title. The first part of this paper has been printed on pages 219-231 of this volume.
G. Birkhoff
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Chebyshev expansions for solutions of linear differential equations [PDF]
Proceedings of the 2009 international symposium on Symbolic and algebraic computation, 2009 A Chebyshev expansion is a series in the basis of Chebyshev polynomials of the first kind. When such a series solves a linear differential equation, its coefficients satisfy a linear recurrence equation. We interpret this equation as the numerator of a fraction of linear recurrence operators.
Benoit, Alexandre, Salvy, Bruno
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Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format [PDF]
SIAM/ASA J. Uncertain. Quantification, 2015 We apply the tensor train (TT) decomposition to construct the tensor product polynomial chaos expansion (PCE) of a random field, to solve the stochastic elliptic diffusion PDE with the stochastic Galerkin discretization, and to compute some quantities of
S. Dolgov +3 more
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Arab Journal of Basic and Applied Sciences, 2023 Nonlinear partial differential equations (NLPDEs) are widely utilized in engineering and physical research to represent many physical processes of naturalistic occurrences.
M. A. Iqbal +4 more
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Expansivity of Nonsmooth Functional Differential Equations
Journal of Mathematical Analysis and Applications, 1997 The paper deals with expansivity of a nonsmooth dynamical system, in which all trajectories that remain within a certain threshold of each other must be identical. Explicit knowledge of the rates of separation is useful for numerical calculations and shadowing arguments.
Al-Nayef, A.A +2 more
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Evaluating single-scale and/or non-planar diagrams by differential equations [PDF]
, 2013 We apply a recently suggested new strategy to solve differential equations for Feynman integrals. We develop this method further by analyzing asymptotic expansions of the integrals. We argue that this allows the systematic application of the differential
Henn, Johannes M. +2 more
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Steady-State Process Analysis of DC Converter Based on Equations Expansion
Mìkrosistemi, Elektronìka ta Akustika, 2020 The paper deals with processes analysis in circuits of converter working on a time-varying load. A control of inverter and load switches are realised by signals with incommensurable frequencies.
Igor Yevheniiovych Korotyeyev +1 more
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Modulated Fourier Expansions of Highly Oscillatory Differential Equations
Foundations of Computational Mathematics, 2003 The authors study the long term behavior of highly oscillatory solutions of systems of differential equations of the form \[ x''+\Omega^2 x=g(x), \tag{\(*\)} \] with \(\Omega=\left(\begin{smallmatrix}0&0\\0&\omega I\end{smallmatrix} \right)\), \(\omega\gg 1\) and \(g(x)= -\nabla U(x)\).
Cohen, David +2 more
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Advances in Mathematical Physics, 2018 We apply the G′/G2-expansion method to construct exact solutions of three interesting problems in physics and nanobiosciences which are modeled by nonlinear partial differential equations (NPDEs).
Sekson Sirisubtawee, S. Koonprasert
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