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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Controllability of Singular Linear Systems by Legendre Wavelets [PDF]
Journal of Control Science and Engineering, 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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A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels [PDF]
HeliyonVolterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation ...
Khadijeh Sadri +4 more
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Modified Legendre Wavelets Technique for Fractional Oscillation Equations [PDF]
Entropy, 2015 Physical Phenomena’s located around us are primarily nonlinear in nature and their solutions are of highest significance for scientists and engineers.
Syed Tauseef Mohyud-Din +2 more
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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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A Comparative Study of Wavelets Methods for Solving Non-Linear Two-Dimensional Boussinesq System of Type BBM-BBM [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2014 In this paper, numerical techniques based on the wavelets methods are proposed for the numerical solution of non-linear two-dimensional BBM-BBM system and we compared between them.
Ekhlass Al-Rawi, Ahmed Qasim
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Legendre wavelets technique for special Initial-Value problem for the quarter plain of heat transfer [PDF]
Mathematics and Computational Sciences, 2020 In this paper we have solved the heat transfer equation by means of the Volterra integral equation and Legendre Wavelets. Since, due to numerical facts, solution of the related partial differential equation is difficult, thus we have applied integral ...
Bahman Babayar-Razlighi, Mehdi Solaimani
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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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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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Approximate solution for a system of fractional integro-differential equations by Müntz Legendre wavelets [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 We use the Müntz Legendre wavelets and operational matrix to solve a system of fractional integro-differential equations. In this method, the system of integro-differential equations shifts into the systems of the algebraic equation, which can be solved ...
Y. Barazandeh
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