Results 1 to 10 of about 2,459 (120)
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 +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
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 +3 more
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 +2 more
doaj +1 more source
Axioms, 2023 Chebyshev Wavelets of the third kind are proposed in this study to solve nonlinear systems of FDEs. The main goal of the method is to convert the nonlinear FDE into a nonlinear system of algebraic equations that can be easily solved using matrix methods.
Sadiye Nergis Tural Polat +1 more
doaj +1 more source
Green–Haar wavelets method for generalized fractional differential equations
Advances in Difference Equations, 2020 The objective of this paper is to present two numerical techniques for solving generalized fractional differential equations. We develop Haar wavelets operational matrices to approximate the solution of generalized Caputo–Katugampola fractional ...
Mujeeb ur Rehman +4 more
doaj +1 more source
An application of Genocchi wavelets for solving the fractional Rosenau-Hyman equation☆
Alexandria Engineering Journal, 2021 In this research, Genocchi wavelets method, a quite new type of wavelet-like basis, is adopted to obtain a numerical solution for the classical and time-fractional Rosenau-Hyman or K(n,n) equation arising in the formation of patterns in liquid drops. The
Melih Cinar, Aydin Secer, Mustafa Bayram
doaj +1 more source
Numerical Solution for Solving Linear Fractional Differential Equations using Chebyshev Wavelets [PDF]
مجلة التربية والعلم, 2023 In this paper, a numerical method for solving linear fractional differential equations using Chebyshev wavelets matrices has been presented. Fractional differential equations have received great attention in the recent period due to the expansion of ...
Inaam Abdulbaset Fathi, kais Ibrahim
doaj +1 more source
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 +2 more
doaj +1 more source
Generalized Legendre wavelets, definition, properties and their applications for solving linear differential equations [PDF]
Egyptian Journal of Pure and Applied Science, 2023 In this work, the authors offer a novel and accurate method in order to find the solution of the linear differential equations over the intervals [0, 1) based on the generalization of Legendre wavelets. The mechanism is still upon workable implementation
Naglaa El-Shazly +2 more
doaj +1 more source