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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 ریاضی
The 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, سید رضا حجازی   +1 more
doaj   +1 more source

Legendre Wavelets Method for Solving Boundary Value Problems

Journal of the College of Basic Education, 2023
يتم تقديم طريقتين لحل مشكلة قيمة حد الرتبة n باستخدام موجات Legendre المستمرة على الفاصل الزمني [0 ، 1]. تحل الخوارزمية الأولى مشكلة القيمة الحدودية BVP تستخدم مباشرة المصفوفة التشغيلية لمشتق موجات Legendre بينما تقوم الخوارزمية الثانية بتحويل BVP إلى نظام معادلات Volterra المتكاملة ثم باستخدام المصفوفة التشغيلية للتكامل لموجات Legendre ، نظام ...
null Dr. Suha N. Shihab, null Hayat A. Ali   +1 more
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A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems

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, F. Ismail, M. Tavassoli Kajani, Mohammad Maleki   +3 more
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Introducing Legendre wavelet functions for damage detection in laminated composite beams

Composites Part C: Open Access
This paper introduces Legendre wavelets as a novel wavelet type and explores their effectiveness in detecting damage in carbon-epoxy composite beams.
Morteza Saadatmorad, Nicholas Fantuzzi, Pietro Russo   +2 more
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Traveling wave solution of fractional KdV-Burger-Kuramoto equation describing nonlinear physical phenomena

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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Parameter identification for nonlinear damping coefficient from large-amplitude ship roll motion using wavelets

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
doaj   +1 more source

On a new method for finding numerical solutions to integro-differential equations based on Legendre multi-wavelets collocation

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, Muhammad Asif, Rohul Amin, Qasem Al-Mdallal, Fahd Jarad   +4 more
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Legendre Wavelet Neural Networks for Power Amplifier Linearization

Applied Mathematics, 2014
In this paper, a novel technique for power amplifier (PA) linearization is presented. The Legendre wavelet neural networks (LWNN) is first utilized to model PA and inverse structure of the PA by applying practical transmission signals and the gradient descent algorithm is applied to estimate the coefficients of the LWNN.
Xiaoyang Zheng, Zhengyuan Wei, Xiaozeng Xu   +2 more
openaire   +2 more sources

Adaptive Neural Network Q-Learning-Based Full Recurrent Adaptive NeuroFuzzy Nonlinear Control Paradigms for Bidirectional-Interlinking Converter in a Grid-Connected Hybrid AC-DC Microgrid

Energies, 2023
The stability of a hybrid AC-DC microgrid depends mainly upon the bidirectional interlinking converter (BIC), which is responsible for power transfer, power balance, voltage solidity, frequency and transients sanity. The varying generation from renewable
Muhammad Awais, Laiq Khan, Said Ghani Khan, Qasim Awais, Mohsin Jamil   +4 more
doaj   +1 more source

Legendre wavelet embedded NeuroFuzzy algorithms for multiple FACTS

International Journal of Electrical Power & Energy Systems, 2016
Abstract Since their inception, damping of Low Frequency Oscillations (LFOs) has been a critical issue in electric power systems. Voltage Source Converter (VSC) based Flexible AC Transmission Systems (FACTS) have a renowned capability for rapid regulation of various network quantities and combat LFOs when equipped with efficient supplementary damping
Rabiah Badar, Laiq Khan
openaire   +1 more source