Results 41 to 50 of about 272,577 (84)

Numerical solution of variable‐order stochastic fractional integro‐differential equation with a collocation method based on Müntz–Legendre polynomial

Mathematical methods in the applied sciences, 2022
In this work, our motivation is to design a new collocation method based on Müntz–Legendre polynomial involving operational matrices to solve variable‐order stochastic fractional integro‐differential equation.
Abhishek Kumar Singh, M. Mehra, Vaibhav Mehandiratta   +2 more
semanticscholar   +1 more source

Solving Fredholm integral equations of the first kind using Müntz wavelets

Applied Numerical Mathematics, 2019
The Muntz-Legendre polynomials arise by orthogonalizing the Muntz system { x λ 1 , x λ 2 , … } with respect to the weight function w ( x ) = 1 on [ 0 , 1 ] .
M. Bahmanpour, M. T. Kajani, M. Maleki
semanticscholar   +1 more source

A Novel Scheme for the Solution of Differential Equations Through Müntz-Legendre Wavelets

SMART
This study aims to present a numerical wavelet-based approach for solving both lower-order and higher-order differential equations. This approach is characterized by the use of Miintz- Legendre wavelets (MLWs) for estimation. The MLW is considered by the
Madhulika, Ritu Arora, Ankit Kumar, A. Singh   +3 more
semanticscholar   +1 more source

Solving fractional Fredholm integro–differential equations using Legendre wavelets

, 2021
This paper presents a Legendre wavelet spectral method for solving a type of fractional Fredholm integro–differential equations. The fractional derivative is defined in the Caputo–Prabhakar sense.
D. Abbaszadeh, M. T. Kajani, M. Momeni, M. Zahraei, M. Maleki   +4 more
semanticscholar   +1 more source

A novel algorithm based on the Legendre wavelets spectral technique for solving the Lane–Emden equations

Applied Numerical Mathematics, 2020
In this research, we present an iterative spectral method for the approximate solution of a class of Lane–Emden equations. In this procedure, we initially extend the Legendre wavelet which is appropriate for any time interval.
A. K. Dizicheh, S. Salahshour, A. Ahmadian, D. Baleanu   +3 more
semanticscholar   +1 more source

An efficient wavelet method for the time‐fractional Black–Scholes equations

Mathematical methods in the applied sciences
A European option is one of the common types of options in financial markets, which can be modeled by a time‐fractional parabolic PDE, known as the time‐fractional Black–Scholes equation (BSE). In this article, we propose an effective numerical scheme by
Boonrod Yuttanan, M. Razzaghi, Thieu N. Vo   +2 more
semanticscholar   +1 more source

Numerical analysis of pantograph differential equation of the stretched type associated with fractal-fractional derivatives via fractional order Legendre wavelets

, 2020
In the present paper, a method of using fractional order Legendre wavelets is proposed for solving the pantograph differential equation of the stretched type involved with Caputo fractal-fractional and Atangana-Baleanu fractal-fractional derivatives. The
Ashish Rayal, S. R. Verma
semanticscholar   +1 more source

Müntz–Legendre wavelet collocation method for loaded optimal control problem

International Journal of Systems Science
In this paper, a Müntz–Legendre wavelet collocation method is proposed for solving optimal control problems with constraints as the loaded differential equations, called loaded optimal control problems.
Ritu Kumari, M. Mehra, Nitin Kumar
semanticscholar   +1 more source

Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag–Leffler non-singular kernel

Chaos, Solitons & Fractals, 2019
In this study, an efficient semi-discrete method based on the two-dimensional Legendre wavelets (2D LWs) is developed to provide approximate solutions of nonlinear variable-order (V-O) time fractional 2D reaction-diffusion equations.
M. Hosseininia, M. Heydari
semanticscholar   +1 more source

The bivariate Müntz wavelets composite collocation method for solving space-time-fractional partial differential equations

Computational and Applied Mathematics, 2020
P. Rahimkhani, Y. Ordokhani
semanticscholar   +2 more sources