Results 31 to 40 of about 4,172 (259)
A multiscale collocation method for fractional differential problems [PDF]
, 2018 We introduce a multiscale collocation method to numerically solve differential problems involving both ordinary and fractional derivatives of high order.
Pezza, L., Pitolli, F.
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The numerical solution of singular initial value problems using Chebyshev wavelet collocation method
Ain Shams Engineering Journal, 2018 Wavelet analysis is a recently developed mathematical tool for many problems. In this paper, an efficient and new numerical method is proposed for the numerical solution of singular initial value problems, which is based on collocation points with ...
S.C. Shiralashetti, A.B. Deshi
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A fractional spline collocation method for the fractional order logistic equation [PDF]
, 2017 We construct a collocation method based on the fractional B-splines to solve a nonlinear differential problem that involves fractional derivative, i.e. the fractional order logistic equation.
Pezza, L., Pitolli, F.
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Chebyshev wavelet collocation method for Ginzburg-Landau equation
Thermal Science, 2019 The main aim of this paper is to investigate the efficient Chebyshev wavelet collocation method for Ginzburg-Landau equation. The basic idea of this method is to have the approximation of Chebyshev wavelet series of a non-linear PDE. We demonstrate how to use the method for the numerical solution of the Ginzburg-Landau equation with initial and ...
Bakir, Yasemin, Seçer, Aydın
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Axioms, 2018 This paper presents a new efficient method for the numerical solution of a linear time-dependent partial differential equation. The proposed technique includes the collocation method with Legendre wavelets for spatial discretization and the three-step ...
Mina Torabi, Mohammad-Mehdi Hosseini
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Adaptive wavelet collocation methods and wave propagation [PDF]
The Journal of the Acoustical Society of America, 1995 An adaptive wavelet collocation method for the initial value boundary problem of nonlinear PDE’s is studied. The collocation method is based on a cubic spline wavelet decomposition for the Sobolev space H20(I), where I is a bounded interval. Based on a special ‘‘point-wise orthogonality’’ of the wavelet basis functions, a fast discrete wavelet ...
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A fractional B-spline collocation method for the numerical solution of fractional predator-prey models [PDF]
, 2018 We present a collocation method based on fractional B-splines for the solution of fractional differential problems. The key-idea is to use the space generated by the fractional B-splines, i.e., piecewise polynomials of noninteger degree, as approximating
Pitolli, Francesca
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Wavelet multi-resolution approximation for multiobjective optimal control. [PDF]
PLoS ONE, 2018 A new sequential method based on multi-resolution approximation is proposed for solving computationally expensive multi-objective optimization problems. A traditional strategy is to decompose a multi-objective optimization problem into a number of single-
Wen Zou +3 more
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Wavelet-Collocation Method of Solving Singular Integral Equation
Indian Journal of Science and Technology, 2017 Objectives: This article describes one of the approaches to the approximate solution of the singular integral equation of the first kind with the Cauchy kernel on material axis interval, based on the approximation of the desired function by Chebyshev’s wavelets of the II-nd kind.
Liliya Emitovna Khairullina +1 more
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Orographic and convective gravity waves above the Alps and Andes mountains during GPS radio occultation events – a case study [PDF]
, 2017 The significant distortions introduced in the measured atmospheric gravity wavelengths by soundings other than in vertical and horizontal directions, are discussed as a function of elevation angle of the sounding path and the gravity waves aspect ratio ...
Alexander, Pedro Manfredo +5 more
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