Results 21 to 30 of about 415 (160)
A new Legendre wavelets decomposition method for solving PDEs
Malaya Journal of Matematik, 2014 In this paper, we present a novel technique based on the Legendre wavelets decomposition. The properties of Legendre wavelets are used to reduces the PDEs problem into the solution of ODEs system. To illustrate our results, two examples are studied using a special software package which implements the proposed algorithms.
Naima Ablaoui-Lahmar +2 more
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Alexandria Engineering Journal, 2022 In this article, a wavelet collocation method based on linear Legendre multi-wavelets is proposed for the numerical solution of the first as well as higher orders Fredholm, Volterra and Volterra–Fredholm integro-differential equations.
Imran Khan +4 more
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Numerical Solution of Fokker-Planck-Kolmogorov Time Fractional Differential Equations Using Legendre Wavelet Method Along with convergence and error analysis [PDF]
مدلسازی پیشرفته ریاضیThe purpose of this paper is to present an efficient numerical method for finding numerical solutions Fokker-Planck-Kolmogorov time-fractional differential equations.The Legendre wavelet approach was employed for this objective. The Legendre wave was the
شعبان محمدی +1 more
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Beni-Suef University Journal of Basic and Applied Sciences, 2017 In this paper, we have introduced an efficient Legendre wavelet spectral method (LWSM) to ship roll motion model for investigating the nonlinear damping coefficients.
D. Sathyaseelan, G. Hariharan, K. Kannan
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AIP Advances, 2014 In this paper, KdV-Burger-Kuramoto equation involving instability, dissipation, and dispersion parameters is solved numerically. The numerical solution for the fractional order KdV-Burger-Kuramoto (KBK) equation has been presented using two-dimensional ...
A. K. Gupta, S. Saha Ray
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Numerical solution of two-dimensional fractional order Volterra integro-differential equations
AIP Advances, 2021 The present paper is concerned with the implementation of the optimal homotopy asymptotic method to find the approximate solutions of two-dimensional fractional order Volterra integro-differential equations. The technique’s applicability and validity are
Sumbal Ahsan +6 more
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Numerical Solution of Caputo-Fabrizio Time Fractional Distributed Order Reaction-diffusion Equation via Quasi Wavelet based Numerical Method [PDF]
Journal of Applied and Computational Mechanics, 2020 In this paper, we derive a novel numerical method to find out the numerical solution of fractional partial differential equations (PDEs) involving Caputo-Fabrizio (C-F) fractional derivatives. We first find out the approximation formula of C-F derivative
Sachin Kumar +1 more
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Wavelet Collocation Method for Solving Multiorder Fractional Differential Equations
Journal of Applied Mathematics, 2012 The operational matrices of fractional-order integration for the Legendre and Chebyshev wavelets are derived. Block pulse functions and collocation method are employed to derive a general procedure for forming these matrices for both the Legendre and the
M. H. Heydari +3 more
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Alexandria Engineering Journal, 2018 A mathematical model of an immobilized enzyme system with Michaelis-Menten mechanism for an irreversible reaction is discussed. The model is developed on the basis of diffusion equations containing a nonlinear term related to Michaelis-Menten (M-M ...
M. Salai Mathi Selvi +3 more
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WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION [PDF]
Journal of Mahani Mathematical Research, 2012 In this paper, The numerical solutions of the Klein-Gordon equations using Legendre wavelets are investigated. The interest is in solving the problem using the wavelet basis due to its simplicity and efficiency in numerical approximations.
Esmail Hesameddini, S. Shekarpaz
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