Results 191 to 200 of about 5,981 (227)
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Tree-Structured Legendre Multi-wavelets
2005We address the problem of constructing multi-wavelets, that is, wavelets with more than one scaling and wavelet function. We generalize the algorithm, proposed by Alpert [1] for generating discrete Legendre multi-wavelets to the case of arbitrary, non-dyadic time interval splitting.
Ekaterina Pogossova +3 more
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Solving linear integro-differential equation with Legendre wavelets
International Journal of Computer Mathematics, 2004In this article, we use the continuous Legendre wavelets on the interval [0, 1) constructed by [M. Razzaghi and S. Yousefi, The Legendre wavelets operational matrix of integration, International Journal of Systems Science, 32(4) (2001) 495–502.] to solve the linear second kind integro-differential equations and construct the quadrature formulae for the
M. Tavassoli Kajani, A. Hadi Vencheh †
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Legendre Wavelets Method for Nonlinear Fractional Differences Equation
2010 First ACIS International Symposium on Cryptography, and Network Security, Data Mining and Knowledge Discovery, E-Commerce and Its Applications, and Embedded Systems, 2010In this paper we consider a kind of polynomials-Legendre polynomials then we get Legendre wavelet. Legendre wavelet operational matrix of the fractional integration is derived and combined the property of operational matrix to solve nonlinear fractional differential equations, we give some example and the numerical example shows that the method is ...
Fengbo Hou +3 more
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Legendre wavelets method for constrained optimal control problems
Mathematical Methods in the Applied Sciences, 2002AbstractA numerical method for solving non‐linear optimal control problems with inequality constraints is presented in this paper. The method is based upon Legendre wavelet approximations. The properties of Legendre wavelets are first presented. The operational matrix of integration and the Gauss method are then utilized to reduce the optimal control ...
Razzaghi, Mohsen, Yousefi, Sohrabali
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Two-Dimensional Müntz–Legendre Wavelet Method for Fuzzy Hybrid Differential Equations
New Mathematics and Natural Computation, 2022In this paper, the fuzzy approximate solutions for the fuzzy Hybrid differential equation emphasizing the type of generalized Hukuhara differentiability of the solutions are obtained by using the two-dimensional Müntz–Legendre wavelet method. To do this, the fuzzy Hybrid differential equation is transformed into a system of linear algebraic equations ...
Shahryari, N. +2 more
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Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation
Advances in Applied Mathematics and Mechanics, 2014AbstractIn this paper, we develop an accurate and efficient Legendre wavelets method for numerical solution of the well known time-fractional telegraph equation. In the proposed method we have employed both of the operational matrices of fractional integration and differentiation to get numerical solution of the time-telegraph equation.
Heydari, M. H. +2 more
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An Approximation Method for Solving Burgers’ Equation Using Legendre Wavelets
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Venkatesh, S. G. +2 more
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Legendre wavelets method for the nonlinear Volterra–Fredholm integral equations
Mathematics and Computers in Simulation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yousefi, S., Razzaghi, M.
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Shifted Chebyshev Wavelets and Shifted Legendre Wavelets—Preliminaries
2019Wavelet analysis, as a relatively new and emerging area in applied mathematical research, has received considerable attention in dealing with partial differential equations and fractional partial differential equations (FPDEs).
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New 2D numerical integration formula based on the Legendre wavelets
Journal of Interdisciplinary Mathematics, 2023Based on Legendre wavelets, a new efficient numerical integration method is proposed to estimate double integrals. This new method is expressed in terms of the operational integration matrices. Those which were introduced by Parsian, are calculated in an approximate way. In this work, we also propose the exact computation of these matrices.
Leila Bouzid +2 more
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