Results 11 to 20 of about 415 (160)

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, Sirajul Haq, Safyan Mukhtar, Imad Khan   +3 more
doaj   +3 more sources

The Legendre wavelet method for solving initial value problems of Bratu-type

Computers & Mathematics with Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Venkatesh, S.G., Ayyaswamy, S.K., Raja Balachandar, S.   +2 more
openaire   +4 more sources

A New Method for Dynamical System Identification by Optimizing the Control Parameters of Legendre Multiwavelet Neural Network

Mathematics, 2023
Wavelet neural networks have been widely applied to dynamical system identification fields. The most difficult issue lies in selecting the optimal control parameters (the wavelet base type and corresponding resolution level) of the network structure ...
Xiaoyang Zheng, Shiyu Liu, Zejiang Yu, Chengyou Luo   +3 more
doaj   +1 more source

On the estimation of functions belonging to Lipschitz class by block pulse functions and hybrid Legendre polynomials

Karpatsʹkì Matematičnì Publìkacìï, 2020
In this paper, block pulse functions and hybrid Legendre polynomials are introduced. The estimators of a function $f$ having first and second derivative belonging to $Lip_\alpha[a,b]$ class, $0 < \alpha \leq 1$, and $a$, $b$ are finite real numbers, by ...
S. Lal, V.K. Sharma
doaj   +1 more source

Legendre Multiwavelet Transform and Its Application in Bearing Fault Detection

Applied Sciences, 2023
Bearing failures often result from compound faults, where the characteristics of these compound faults span across multiple domains. To tackle the challenge of extracting features from compound faults, this paper proposes a novel fault detection method ...
Xiaoyang Zheng, Zijian Lei, Zhixia Feng, Lei Chen   +3 more
doaj   +1 more source

Combined variational iteration method with chebyshev wavelet for the solution of convection-diffusion-reaction problem

Mehran University Research Journal of Engineering and Technology, 2023
The goal of the work is to solve the nonlinear convection-diffusion-reaction problem using the variational iteration method with the combination of the Chebyshev wavelet.
Muhammad Memon, Khuda Bux Amur, Wajid Ali Shaikh   +2 more
doaj   +1 more source

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, S.K. Ayyaswamy, S. Raja Balachandar   +2 more
doaj   +1 more source

A New Operational Matrix of Fractional Derivatives to Solve Systems of Fractional Differential Equations via Legendre Wavelets

Mathematics, 2018
This paper introduces a new numerical approach to solving a system of fractional differential equations (FDEs) using the Legendre wavelet operational matrix method (LWOMM).
Aydin Secer, Selvi Altun
doaj   +1 more source

On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations

Mathematics, 2022
An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
doaj   +1 more source

The Müntz–Legendre Wavelet Collocation Method for Solving Weakly Singular Integro-Differential Equations with Fractional Derivatives

Fractal and Fractional, 2023
We offer a wavelet collocation method for solving the weakly singular integro-differential equations with fractional derivatives (WSIDE). Our approach is based on the reduction of the desired equation to the corresponding Volterra integral equation.
Haifa Bin Jebreen
doaj   +1 more source