Results 171 to 180 of about 320 (204)
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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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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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Technique for solving differential equation by extended Legendre wavelets
2008 International Conference on Wavelet Analysis and Pattern Recognition, 2008Based on analyzing the properties of Legendre wavelets, the extended Legendre wavelets, defined on interval (-r, r), is achieved and its properties are considered. According to the translation property of Legendre wavelets, another method for computing operational matrix of integration P is presented through integrating on subintervals.
null Xiao-Yang Zheng +2 more
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Discontinuous Legendre wavelet Galerkin method for reaction–diffusion equation
International Journal of Computer Mathematics, 2016ABSTRACTThis paper proposes a novel numerical method, that is, discontinuous Legendre wavelet Galerkin technique for solving reaction–diffusion equation (RDE). Specifically, variational formulation and corresponding numerical fluxes of this type equation are devised by utilizing the advantages of both Legendre wavelet bases and discontinuous Galerkin ...
Xiaoyang Zheng, Zhengyuan Wei
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Online adaptive Legendre wavelet embedded neurofuzzy damping control algorithm
INMIC, 2013Power system stability can significantly be enhanced by installing a Static Synchronous Series Compensator (SSSC) using appropriate damping control scheme. In this work, a new Online Adaptive Legendre Wavelet (OALeW) based NeuroFuzzy control of SSSC is proposed. The proposed control strategy tunes the rule base using the current estimate of plant model,
Rabiah Badar, Laiq Khan
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