This paper deals with Chebyshev wavelets. We analyze their properties computing their
Fourier transform. Moreover, we discuss the differential properties of Chebyshev wavelets …

In the current study, new functions called generalized fractional-order Bernoulli wavelet
functions (GFBWFs) based on the Bernoulli wavelets are defined to obtain the numerical …

In this paper, we first construct the second kind Chebyshev wavelet. Then we present a
computational method based on the second kind Chebyshev wavelet for solving a class of …

Two new algorithms based on Haar wavelets are proposed. The first algorithm is proposed
for the numerical solution of nonlinear Fredholm integral equations of the second kind, and …

This article presents a numerical method for solving ordinary linear differential equations of
arbitrary order and coefficients. For this purpose, block-pulse functions (BPFs) as a set of …

New Pell polynomials in two dimensions together with many important properties are
presented in this work. The two dimensions Pell polynomials expansion coefficients of a first …

A numerical scheme, based on the Haar wavelet operational matrices of integration for
solving linear two-point and multi-point boundary value problems for fractional differential …

In this paper, new operational matrix of integration is generated by using Hermite wavelets.
By aid of these matrices, Hermite wavelets operational matrix method (HWOMM) is …

In the present paper, a new Legendre wavelet operational matrix of derivative is presented.
Shifted Legendre polynomials and their properties are employed for deriving a general …

The time-fractional heat equation governed by nonlocal conditions is solved using a novel
method developed in this study, which is based on the spectral tau method. There are two …