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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A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems [PDF]
Journal of Applied Mathematics, 2013 In this paper, we propose an iterative spectral method for solving differential equations with initial values on large intervals. In the proposed method, we first extend the Legendre wavelet suitable for large intervals, and then the Legendre-Guass ...
A. Karimi Dizicheh +3 more
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Numerical solution of sixth-order boundary-value problems using Legendre wavelet collocation method
Results in Physics, 2018 An efficient method is proposed to approximate sixth order boundary value problems. The proposed method is based on Legendre wavelet in which Legendre polynomial is used.
Muhammad Sohaib +3 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 Legendre wavelet collocation method for solving neutral delay differential equations
Miskolc Mathematical NotesThe Legendre wavelet based method has been employed in this paper to investigate neutral delay differential equations. The highest order derivative is approximated by Legendre wavelet using the integral operator technique.
Uzair Ahmed +3 more
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Müntz–Legendre Wavelet Collocation Method for Solving Fractional Riccati Equation
AxiomsWe propose a wavelet collocation method for solving the fractional Riccati equation, using the Müntz–Legendre wavelet basis and its associated operational matrix of fractional integration.
Fatemeh Soleyman, Iván Area
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Discontinuous Legendre Wavelet Galerkin Method for One-Dimensional Advection-Diffusion Equation
Applied Mathematics, 2015 This paper presents discontinuous Legendre wavelet Galerkin (DLWG) approach for solving one-dimensional advection-diffusion equation (ADE). Variational formulation of this type equation and corresponding numerical fluxes are devised by utilizing the advantages of both the Legendre wavelet bases and discontinuous Galerkin (DG) method.
Xiaoyang Zheng
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The Legendre wavelet method for solving initial value problems of Bratu-type
Computers and Mathematics With Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Venkatesh, S.G. +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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