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Compactly Supported Wavelets Derived From Legendre Polynomials: Spherical Harmonic Wavelets [PDF]
, 2015 6 pages, 6 figures, 1 table In: Computational Methods in Circuits and Systems Applications, WSEAS press, pp.211-215, 2003.
Lira, M. M. S. +3 more
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Legendre Wavelet expansion of functions and their Approximations
Ratio Mathematica, 2019 In this paper , nine new Legendre wavelet estimators of functions having bounded third and fourth derivatives have been obtained.These estimators are new and best approximation in wavelet analysis.
Indra Bhan, Lal Shyam, Lal Shyam
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Estimation of the regression function by Legendre wavelets [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 We estimate a function f with N independent observations by using Leg-endre wavelets operational matrices. The function f is approximated with the solution of a special minimization problem.
M. Hamzehnejad, M.M. Hosseini, A. Salemi
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Legendre Wavelet Operational Matrix Method for Solution of Riccati Differential Equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 2014 A Legendre wavelet operational matrix method (LWM) is presented for the solution of nonlinear fractional-order Riccati differential equations, having variety of applications in quantum chemistry and quantum mechanics.
S. Balaji
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Legendre Wavelets based approximation method for solving advection problems
Ain Shams Engineering Journal, 2013 In this paper, we present the Legendre wavelets based method for the solution of homogeneous and nonhomogeneous advection problems. The properties of Legendre wavelets are used to reduce the problem to the solution of system of algebraic equations.
S.G. Venkatesh +2 more
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Solving quantum optimal control problems by wavelets method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 We present the quantum equation and synthesize an optimal control proce dure for this equation. We develop a theoretical method for the analysis of quantum optimal control system given by the time depending Schrödinger equation.
M. Rahimi +2 more
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Fractal and Fractional, 2022 In this paper, the Legendre wavelet neural network with extreme learning machine is proposed for the numerical solution of the time fractional Black–Scholes model.
Xiaoning Zhang, Jianhui Yang, Yuxin Zhao
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Controllability of singular linear systems by Legendre wavelets [PDF]
International Journal of Information and Communication Technology, 2014 We propose a new method to design an observer and control the linear singular systems described by Legendre wavelets. The idea of the proposed approach is based on solving the generalized Sylvester equations. An example is also given to illustrate the procedure.
Wenxin Yu +3 more
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Legendre wavelet method combined with the Gauss quadrature rule for numerical solution of fractional integro-differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 In this paper, we use a novel technique to solve the nonlinear fractional Volterra-Fredholm integro-differential equations (FVFIDEs). To this end, the Legendre wavelets are used in conjunction with the quadrature rule for converting the problem into a ...
M. Riahi Beni
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Results in Physics, 2021 In this article, a new and efficient operational matrix method based on the amalgamation of Fibonacci wavelets and block pulse functions is proposed for the solutions of time-fractional telegraph equations with Dirichlet boundary conditions.
Firdous A. Shah +4 more
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