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Legendre wavelet method for fractional delay differential equations

Applied Numerical Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuttanan, Boonrod   +2 more
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The Legendre wavelet method for solving fractional differential equations

Communications in Nonlinear Science and Numerical Simulation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ur Rehman, Mujeeb, Ali Khan, Rahmat
openaire   +4 more sources

Option Pricing by the Legendre Wavelets Method

Computational Economics, 2021
This paper presents the numerical solution of the Black–Scholes partial differential equation (PDE) for the evaluation of European call and put options. The proposed method is based on the finite difference and Legendre wavelets aproximation scheme. We derive a matrix structure for the Legendre wavelets integral operator which has been widely used so ...
Reza Doostaki, Mohammad Mehdi Hosseini
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Solving fractional Fredholm integro–differential equations using Legendre wavelets

Applied Numerical Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abbaszadeh, D.   +4 more
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Properties of extended Legendre wavelets

2008 International Conference on Wavelet Analysis and Pattern Recognition, 2008
The multiwavelet property of Legendre wavelets is obtained by multiresolution analysis of multiplicity. Taking advantage of the translation property of Legendre wavelets, the extended Legendre wavelets, defined on the interval (-r, r), is achieved through a translation operator transformation on Legendre wavelets.
null Xiao-Yang Zheng   +2 more
openaire   +1 more source

Abel inversion using Legendre wavelets expansion

Journal of Quantitative Spectroscopy and Radiative Transfer, 2007
A new method is presented for reconstruction of the radially distributed emissivity from the line-of-sight projected intensity. The method is based on approximating the projected intensity profile by Legendre wavelets. The coefficients of the approximation are computed using the inner product of Legendre wavelets and the intensity profile.
Shuiliang Ma   +3 more
openaire   +1 more source

Legendre wavelet for power amplifier linearization

Analog Integrated Circuits and Signal Processing, 2015
Power amplifier (PA) plays a key role in transceivers for mobile communication systems and the improvement of the linearity of the PA becomes an objective of first importance. This paper proposes a novel linearization method for PA based on the Legendre wavelet possessing rich properties, so as to this technique combines the advantages of piecewise ...
Xiaoyang Zheng   +4 more
openaire   +1 more source

The Legendre wavelets operational matrix of integration

International Journal of Systems Science, 2001
An operational matrix of integration P based on Legendre wavelets is presented. A general procedure for forming this matrix is given. Illustrative examples are included to demonstrate the validity and applicability of the matrix P.
M. Razzaghi, S. Yousefi
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Legendre wavelets direct method for variational problems

Mathematics and Computers in Simulation, 2000
A direct method for solving variational problems using Legendre wavelets is presented. An operational matrix of integration is first introduced and is utilized to reduce a variational problem to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
M. Razzaghi, S. Yousefi
openaire   +1 more source

Extended Legendre Wavelets Neural Network

2008
Based on analyzing Legendre wavelets, this paper presents the extended Legendre wavelets (ELW), which is defined on the interval (i¾? r,r), and proves to be orthogonal. Furthermore, this paper constructs the extended Legendre wavelet neural network (ELWNN) by using the ELW functions instead of the activation functions of a multilayer perceptron neural ...
XiaoYang Zheng   +3 more
openaire   +1 more source

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