Results 1 to 10 of about 415 (160)

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
doaj   +3 more sources

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, F. Ismail, M. Tavassoli Kajani, Mohammad Maleki   +3 more
doaj   +4 more sources

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, S.K. Ayyaswamy, S. Raja Balachandar   +2 more
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A Legendre wavelet collocation method for solving neutral delay differential equations

Miskolc Mathematical Notes
The 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, Mo Faheem, Arshad Khan, Geetan Manchanda   +3 more
doaj   +4 more sources

Müntz–Legendre Wavelet Collocation Method for Solving Fractional Riccati Equation

Axioms
We 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
doaj   +2 more sources

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, S.M. Karbassi, M.R. Hooshmandasl   +2 more
doaj   +1 more source

Numerical Solution of Time Fractional Black–Scholes Model Based on Legendre Wavelet Neural Network with Extreme Learning Machine

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
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
openaire   +1 more source

Fibonacci wavelet method for solving time-fractional telegraph equations with Dirichlet boundary conditions

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, Mohd Irfan, Kottakkaran S. Nisar, R.T. Matoog, Emad E. Mahmoud   +4 more
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Legendre wavelet method combined with the Gauss quadrature rule for numerical solution of fractional integro-differential equations [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2022
In this paper, we use a novel technique to solve the nonlinear fractional Volterra-Fredholm integro-differential equations (FVFIDEs). To this end, the Legendre wavelets are used in conjunction with the quadrature rule for converting the problem into a ...
M. Riahi Beni
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