In this paper, a numerical method based on the third kind Chebyshev wavelets is proposed
for solving a class of time-fractional convection diffusion equations with variable coefficients …

In this paper, a collocation method based on Laguerre wavelets is proposed for the
numerical solutions of linear and nonlinear singular boundary value problems. Laguerre …

In this study, a novel stochastic computational frameworks based on fractional Meyer
wavelet artificial neural network (FMW-ANN) is designed for nonlinear-singular fractional …

In this article, a fractional-order mathematical physics model, advection–dispersion equation
(FADE), will be solved numerically through a new approximative technique. Shifted Vieta …

The principal aim of the current paper is to present and analyze two new spectral algorithms
for solving some types of linear and nonlinear fractional-order differential equations. The …

The basic aim of this paper is to develop new numerical algorithms for solving some linear
and nonlinear fractional-order differential equations. We have developed a new type of …

This paper presents an explicit formula that approximates the fractional derivatives of
Chebyshev polynomials of the first-kind in the Caputo sense. The new expression is given in …

In this article, a new method is generated to solve nonlinear Lane–Emden type equations
using Legendre, Hermite and Laguerre wavelets. We are interested to note that these …

In this paper, we present an effective method under Taylor wavelets and collocation
technique to find an approximate solution of linear and non-linear second-order singular …

In this paper, our target is to implement and analyze numerical algorithms for the numerical
solutions of initial and boundary third-order singular-type equations, and in particular the …