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 …

A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods

S Kumar, S Ghosh, R Kumar… - Numerical Methods for …, 2021 - Wiley Online Library
Abstract The Lotka‐Volterra model is a very famous model and frequently used to describe
the dynamics of ecological systems in which two species interact, one a predator and one its …

A study on fractional COVID‐19 disease model by using Hermite wavelets

S Kumar, R Kumar, S Momani… - Mathematical Methods in …, 2023 - Wiley Online Library
The preeminent target of present study is to reveal the speed characteristic of ongoing
outbreak COVID‐19 due to novel coronavirus. On January 2020, the novel coronavirus …

Numerical solution of nonlinear 2D Volterra–Fredholm integro-differential equations by two-dimensional triangular function

AA Khajehnasiri - International Journal of Applied and Computational …, 2016 - Springer
This article presents a numerical method for solving nonlinear two-dimensional Volterra–
Fredholm integro-differential equations of the second kind. Here, we use the so-called two …

TRAVELING WAVE SOLUTION OF FRACTAL KdV-BURGERS–KURAMOTO EQUATION WITHIN LOCAL FRACTIONAL DIFFERENTIAL OPERATOR

J Sun - Fractals, 2021 - World Scientific
In this work, space-time fractal model about nonlinear KdV-Burgers–Kuramoto (NKBK)
equation which describes nonlinear physical phenomena and involves instability …

Parameters estimation of HIV infection model of CD4T-cells by applying orthonormal Bernstein collocation method

F Mirzaee, N Samadyar - International Journal of Biomathematics, 2018 - World Scientific
The HIV infection model of CD4+ T-cells corresponds to a class of nonlinear ordinary
differential equation systems. In this study, we provide the approximate solution of this model …

An approximation solution of linear Fredholm integro-differential equation using Collocation and Kantorovich methods

B Tair, H Guebbai, S Segni, M Ghiat - Journal of Applied Mathematics and …, 2022 - Springer
In this work, we construct two numerical approximations methods to deal with
approximations of a linear Fredholm integro-differential equation. In order to show the …

Solving fractional Black–Scholes equation by using Boubaker functions

AA Khajehnasiri, M Safavi - Mathematical Methods in the …, 2021 - Wiley Online Library
The fractional Black–Scholes pricing model widely appears in financial markets. This paper
presents the special class of operational matrix to approximate the solution of fractional …

Solving fractional two-dimensional nonlinear partial Volterra integral equation by using Bernoulli wavelet

AA Khajehnasiri, R Ezzati, MA Kermani - Iranian Journal of Science and …, 2021 - Springer
The main aim of this paper is to use two-dimensional Bernoulli wavelet for obtaining the
numerical solution of a nonlinear two-dimensional fractional partial Volterra integral …

A collocation method via block-pulse functions for solving delay fractional optimal control problems

S Hosseinpour, A Nazemi - IMA Journal of Mathematical Control …, 2017 - academic.oup.com
A collocation scheme is applied to give an approximate solution of the fractional optimal
control problems with delays in state and control. The operational matrix of fractional …