Results 121 to 130 of about 415 (160)
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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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Legendre wavelets method for solving fractional integro-differential equations
International Journal of Computer Mathematics, 2014In this paper, based on the constructed Legendre wavelets operational matrix of integration of fractional order, a numerical method for solving linear and nonlinear fractional integro-differential equations is proposed. By using the operational matrix, the linear and nonlinear fractional integro-differential equations are reduced to a system of ...
Zhijun Meng +3 more
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Discontinuous Legendre wavelet element method for elliptic partial differential equations
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zheng, Xiaoyang +3 more
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Legendre wavelets optimization method for variable-order fractional Poisson equation
Chaos, Solitons & Fractals, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad Hossein Heydari +1 more
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Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations
Nonlinear Dynamics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heydari, M. H. +3 more
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Legendre Wavelets Method for Solution of First-Kind Volterra Problems
2020Volterra integral equations of the first kind arise naturally in various problems. Many problems in mathematical physics, engineering, and integral geometry are often reduced to first-kind Volterra integral equations. A survey of regularization methods for first kind Volterra equations is given by Lamm.
null Pooja, J. Kumar, Pammy Manchanda
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Legendre wavelet method for numerical solutions of partial differential equations
Numerical Methods for Partial Differential Equations, 2009AbstractWe introduce an orthogonal basis on the square [−1, 1] × [‐1, 1] generated by Legendre polynomials on [−1, 1], and define an associated expression for the expansion of a Riemann integrable function. We describe some properties and derive a uniform convergence theorem.
Liu, Nanshan, Lin, En-Bing
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Two-dimensional Legendre Wavelets Method for the Mixed Volterra-Fredholm Integral Equations
Journal of Vibration and Control, 2007This article presents a numerical method for solving nonlinear mixed Volterra-Fredholm integral equations. The method is based on two-dimensional Legendre wavelet approximations. The properties of Legendre wavelets are utilized together with the Gaussian integration method to reduce the mixed integral equations to the solution of algebraic equations ...
Banifatemi, E. +2 more
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RESOLUTION OF AN INVERSE PROBLEM BY HAAR BASIS AND LEGENDRE WAVELET METHODS
International Journal of Wavelets, Multiresolution and Information Processing, 2013In this paper, two numerical methods are presented to solve an ill-posed inverse problem for Fisher's equation using noisy data. These two methods are the Haar basis and the Legendre wavelet methods combined with the Tikhonov regularization method. A sensor located at a point inside the body is used and u(x, t) at a point x = a, 0 < a < 1 is ...
Pourgholi, Reza +3 more
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International Journal of Computational Methods, 2019
This paper presents discontinuous Legendre wavelet element (DLWE) approach for solving nonlinear reaction–diffusion equation (RDE) arising in mathematical chemistry. Firstly, weak formulation of the RDE and corresponding numerical fluxes are devised by utilizing the advantages of both Legendre wavelet and discontinuous Galerkin (DG) approach. Secondly,
Zheng, Xiaoyang, Wei, Zhengyuan
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This paper presents discontinuous Legendre wavelet element (DLWE) approach for solving nonlinear reaction–diffusion equation (RDE) arising in mathematical chemistry. Firstly, weak formulation of the RDE and corresponding numerical fluxes are devised by utilizing the advantages of both Legendre wavelet and discontinuous Galerkin (DG) approach. Secondly,
Zheng, Xiaoyang, Wei, Zhengyuan
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