Results 11 to 20 of about 320 (204)
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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Pseudospectral Method Based on Müntz–Legendre Wavelets for Solving the Abel Integral Equation
Journal of Mathematics, 2022 This paper deals with the numerical solution of the Abel integral equation based on Müntz–Legendre wavelets. To this end, the Abel integral operator is represented by Müntz–Legendre wavelets as an operational matrix.
Ioannis Dassios +2 more
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Results in Physics, 2021 In this article, a new and efficient operational matrix method based on the amalgamation of Fibonacci wavelets and block pulse functions is proposed for the solutions of time-fractional telegraph equations with Dirichlet boundary conditions.
Firdous A. Shah +4 more
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Advances in Difference Equations, 2018 In the present paper, we employ a wavelets optimization method is employed for the elucidations of fractional partial differential equations of pricing European option accompanied by a Lévy model. We apply the Legendre wavelets optimization method (LWOM)
Asmat Ara +4 more
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Short‐time wind speed prediction based on Legendre multi‐wavelet neural network
CAAI Transactions on Intelligence Technology, 2023 As one of the most widespread renewable energy sources, wind energy is now an important part of the power system. Accurate and appropriate wind speed forecasting has an essential impact on wind energy utilisation.
Xiaoyang Zheng +5 more
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Alexandria Engineering Journal, 2020 In this article, a new collocation technique for numerical solution of Fredholm, Volterra and mixed Volterra-Fredholm integral equations of the second kind is introduced and also developed a numerical integration formula on the basis of linear Legendre ...
Muhammad Asif +3 more
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Journal of Applied Mathematics, 2012 A coupled method of Laplace transform and Legendre wavelets is presented to obtain exact solutions of Lane-Emden-type equations. By employing properties of Laplace transform, a new operator is first introduced and then its Legendre wavelets operational ...
Fukang Yin +3 more
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Estimates of Approximation Error by Legendre Wavelet
Applied Mathematics, 2016 This paper first introduces Legendre wavelet bases and derives their rich properties. Then these properties are applied to estimation of approximation error upper bounded in spaces and by norms and , respectively. These estimate results are valuable to solve integral-differential equations by Legendre wavelet method.
Xiaoyang Zheng, Zhengyuan Wei
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Complexity, 2021 In this study, we apply the pseudospectral method based on Müntz–Legendre wavelets to solve the multiorder fractional differential equations with Caputo fractional derivative.
Haifa Bin Jebreen, Fairouz Tchier
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Legendre approximation solution for a class of higher-order Volterra integro-differential equations
Ain Shams Engineering Journal, 2012 The aim of this work is to study the Legendre wavelets for the solution of boundary value problems for a class of higher order Volterra integro-differential equations using function approximation.
S.G. Venkatesh +2 more
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