We proposed a method by utilizing method of steps and Hermite wavelet method, for solving
the fractional delay differential equations. This technique first converts the fractional delay …

In this research article Hermite wavelet based Galerkin method is developed for the
numerical solution of Volterra integro-differential equations in onedimension with initial and …

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 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 …

This study aims to develop a new strategy for solving partial differential equations with
fractional derivatives (FPDEs) using artificial neural networks (ANNs). Numerical solutions to …

The main focus of the book is to implement wavelet based transform methods for solving
problems of fractional order partial differential equations arising in modelling real physical …

In this article we introduce a numerical method, named Gegenbauer wavelets method,
which is derived from conventional Gegenbauer polynomials, for solving fractional initial and …

A numerical method is developed for solving the Abel's integral equations is presented. The
method is based upon Hermite wavelet approximations. Hermite wavelet method is then …

Microfluidics serves as an interdisciplinary bridge between thermal and engineering fields,
offering flexible solutions for addressing heat transport obstacles across diverse sectors …

In this article, we developed new operational matrix of integration using Hermite wavelets
and represented in generalized form also contributed a new algorithm (Hermite wavelets …