Results 1 to 10 of about 3,339 (307)

Legendre multi-wavelets collocation method for numerical solution of linear and nonlinear integral equations

Alexandria Engineering Journal, 2020
In this article, a new collocation technique for numerical solution of Fredholm, Volterra and mixed Volterra-Fredholm integral equations of the second kind is introduced and also developed a numerical integration formula on the basis of linear Legendre ...
Muhammad Asif, Imran Khan, Nadeem Haider, Qasem Al-Mdallal   +3 more
doaj   +4 more sources

The Gegenbauer Wavelets-Based Computational Methods for the Coupled System of Burgers’ Equations with Time-Fractional Derivative

Mathematics, 2019
In this study, Gegenbauer wavelets are used to present two numerical methods for solving the coupled system of Burgers’ equations with a time-fractional derivative.
Neslihan Ozdemir, Aydin Secer, Mustafa Bayram   +2 more
doaj   +4 more sources

Numerical solution of nonlinear fredholm and volterra integrals by Newton–Kantorovich and Haar wavelets methods [PDF]

Symmetry, 2020
The current study proposes a numerical method which solves nonlinear Fredholm and Volterra integral of the second kind using a combination of a Newton–Kantorovich and Haar wavelet.
Ahmad Fadly Nurullah, Rasedee, Norfifah, Bachok, Ahmedov, Anvarjon A., Mohammad Hasan, Abdul Sathar   +3 more
core   +5 more sources

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
doaj   +3 more sources

Numerical analysis of wavelet methods

, 2003
Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations.
Cohen, Albert
core   +2 more sources

The Galerkin method for the numerical solution of some class of differential equations by utilizing Gegenbauer wavelets

Journal of Innovative Applied Mathematics and Computational Sciences
Many differential equations that emerge from modeling physical phenomena do not always possess well-known analytical solutions. Additionally, wavelets have attracted considerable attention from both theoretical and applied researchers in recent decades.
Lingaraj Angadi
doaj   +2 more sources

Quadrature rules for numerical integration based on Haar wavelets and hybrid functions

Computers and Mathematics With Applications, 2011
In this paper Haar wavelets and hybrid functions have been applied for numerical solution of double and triple integrals with variable limits of integration. This approach is the generalization and improvement of the methods (Siraj-ul-Islam et al. (2010)
Imran Aziz, null Siraj-ul-Islam, Wajid Khan, Khan, Wajid, Siraj-ul-Islam,, Aziz, Imran   +5 more
core   +2 more sources

Using Fractional Bernoulli Wavelets for Solving Fractional Diffusion Wave Equations with Initial and Boundary Conditions

Fractal and Fractional, 2021
In this paper, fractional-order Bernoulli wavelets based on the Bernoulli polynomials are constructed and applied to evaluate the numerical solution of the general form of Caputo fractional order diffusion wave equations.
Monireh Nosrati Sahlan, Hojjat Afshari, Jehad Alzabut, Ghada Alobaidi   +3 more
doaj   +1 more source

A Wavelet Collocation Method for some Fractional Models

Ratio Mathematica, 2022
This article presents an effective numerical approach based on the operational matrix of fractional order integration of Haar wavelets for dealing with the fractional models of the mixing and the Newton law of cooling problems.
R Aruldoss, G. Jasmine
doaj   +1 more source

Fibonacci Wavelet Method for the Solution of the Non-Linear Hunter–Saxton Equation

Applied Sciences, 2022
In this article, a novel and efficient collocation method based on Fibonacci wavelets is proposed for the numerical solution of the non-linear Hunter–Saxton equation. Firstly, the operational matrices of integration associated with the Fibonacci wavelets
H. M. Srivastava, Firdous A. Shah, Naied A. Nayied   +2 more
doaj   +1 more source