ASYMPTOTIC EXPANSION OF THE DENSITY FOR HYPOELLIPTIC ROUGH DIFFERENTIAL EQUATION [PDF]
Nagoya Mathematical Journal, 2019 We study a rough differential equation driven by fractional Brownian motion with Hurst parameter $H$$(1/4<H\leqslant 1/2)$. Under Hörmander’s condition on the coefficient vector fields, the solution has a smooth density for each fixed time. Using Watanabe’s distributional Malliavin calculus, we obtain a short time full asymptotic expansion of the ...
Inahama, Yuzuru, Naganuma, Nobuaki
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Boundary value problems solving method with the implicit use of the Taylor expansions
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Grid method for boundary value problems solving for partial differential equations based on high order Taylor expansions is suggested. Comparison of the proposed method with classical grid method is implemented.
A. A. Usov
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A Fresh Look To Exact Solutions of Some Coupled Equations
ITM Web of Conferences, 2018 This manuscript is going to seek travelling wave solutions of some coupled partial differential equations with an expansion method known as Sine- Gordon expansion method.
Karaagac Berat +3 more
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Exact solutions for nonlinear fractional differential equations using G′G2-expansion method
Alexandria Engineering Journal, 2018 A relatively new technique which is named as G′G2-expansion method is applied to attain exact solution of nonlinear fractional differential equations (NLFDEs).
Syed Tauseef Mohyud-Din, Sadaf Bibi
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Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method
Results in Physics, 2017 This article deals with finding some exact solutions of nonlinear fractional differential equations (NLFDEs) by applying a relatively new method known as G′G2-expansion method.
Sadaf Bibi +4 more
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Quasimodular forms as solutions of modular differential equations [PDF]
International Journal of Number Theory, 2020 We study quasimodular forms of depth [Formula: see text] and determine under which conditions they occur as solutions of modular differential equations. Furthermore, we study which modular differential equations have quasimodular solutions.
P. Grabner
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Novel Exact Solutions of the Extended Shallow Water Wave and the Fokas Equations
ITM Web of Conferences, 2018 In this study, a Sine-Gordon expansion method for obtaining novel exact solutions of extended shallow water wave equation and Fokas equation is presented. All of the equations which are under consideration consist of three or four variable.
DURAN Serbay +2 more
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The Process Analysis in Domain of Two Variables
Mìkrosistemi, Elektronìka ta Akustika, 2018 A steady-state processes in RLC circuit with power sources having incommensurable frequencies is considered. In such a circuit a periodic steady-state process does not exist.
Igor Yevheniiovych Korotyeyev +1 more
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Asymptotic solvers for ordinary differential equations with multiple frequencies [PDF]
, 2015 We construct asymptotic expansions for ordinary differential equations with highly oscillatory forcing terms, focusing on the case of multiple, non-commensurate frequencies. We derive an asymptotic expansion in inverse powers of the oscillatory parameter
A Iserles +17 more
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Fast methods for the solution of singular integro-differential and differential equations
International Journal of Mathematics and Mathematical Sciences, 1981 Uniform methods based on the use of the Galerkin method and different Chebyshev expansion sets are developed for the numerical solution of linear integrodifferential equations of the first order.
L. F. Abd-Elal
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