A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials

S Kumar, R Kumar, MS Osman… - Numerical methods for …, 2021 - Wiley Online Library
Epidemiology is the glorious discipline underlying medical research, public health practice,
and health care evaluation. Nowadays, research on disease models with anonymous …

Design and numerical solutions of a novel third‐order nonlinear Emden–Fowler delay differential model

JLG Guirao, Z Sabir, T Saeed - Mathematical Problems in …, 2020 - Wiley Online Library
In this study, the design of a novel model based on nonlinear third‐order Emden–Fowler
delay differential (EF‐DD) equations is presented along with two types using the sense of …

[HTML][HTML] An application of Genocchi wavelets for solving the fractional Rosenau-Hyman equation☆

M Cinar, A Secer, M Bayram - Alexandria Engineering Journal, 2021 - Elsevier
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 …

[HTML][HTML] Hermite wavelet method for solving nonlinear Rosenau–Hyman equation

S Kumbinarasaiah, W Adel - Partial Differential Equations in Applied …, 2021 - Elsevier
In this paper, we present an approximate solution for solving the nonlinear Rosenau–Hyman
equation. The method is based on adapting the wavelet technique accompanied with the …

[HTML][HTML] Combination of Lucas wavelets with Legendre–Gauss quadrature for fractional Fredholm–Volterra integro-differential equations

H Dehestani, Y Ordokhani, M Razzaghi - Journal of Computational and …, 2021 - Elsevier
In this paper, the numerical technique with the help of the Lucas wavelets (LWs) and the
Legendre–Gauss quadrature rule is presented to study the solution of fractional Fredholm …

Fractional-order Bessel wavelet functions for solving variable order fractional optimal control problems with estimation error

H Dehestani, Y Ordokhani… - International Journal of …, 2020 - Taylor & Francis
In the present paper, we apply the fractional-order Bessel wavelets (FBWs) for solving
optimal control problems with variable-order (VO) fractional dynamical system. The VO …

[HTML][HTML] On a new method for finding numerical solutions to integro-differential equations based on Legendre multi-wavelets collocation

I Khan, M Asif, R Amin, Q Al-Mdallal, F Jarad - Alexandria Engineering …, 2022 - Elsevier
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 …

A novel direct method based on the Lucas multiwavelet functions for variable‐order fractional reaction‐diffusion and subdiffusion equations

H Dehestani, Y Ordokhani… - Numerical Linear Algebra …, 2021 - Wiley Online Library
In this article, we study the numerical technique for variable‐order fractional reaction‐
diffusion and subdiffusion equations that the fractional derivative is described in Caputo's …

Performance of Genocchi wavelet neural networks and least squares support vector regression for solving different kinds of differential equations

P Rahimkhani, Y Ordokhani - Computational and Applied Mathematics, 2023 - Springer
In this study, two numerical methods [(a) artificial neural network method with three layers
(input layer, hidden layer, output layer) and (b) least squares support vector regression (LS …

Robust spectral treatment for time-fractional delay partial differential equations

MM Alsuyuti, EH Doha, BI Bayoumi… - … and Applied Mathematics, 2023 - Springer
Fractional delay differential equations (FDDEs) and time-fractional delay partial differential
equations (TFDPDEs) are the focus of the present research. The FDDEs is converted into a …