This article represents Legendre spectral collocation method based on Legendre
polynomials to solve a stochastic Susceptible, infected, Recovered (SIR) model. The …

In this paper, a numerical solution of population dynamics of human immunodeficiency type
1 virus (HIV-1) model is considered by using Legendre spectral-collocation method. The …

In this article, a spectral collocation algorithm is presented for the solution of the stochastic
Allen-Cahn equation. Based on the generalized polynomial chaos method, the stochastic …

The numerical techniques are regarded as the backbone of modern research. In literature,
the exact solution of time delay differential models are hardly achievable or impossible …

The pinewood nematode, which causes a disease known as pine wilt, is a serious threat to
pine forests all over the world. In this paper, we analyze the dynamics of pine wilt disease …

The aim of this study is to investigate the dynamics of epidemic transmission of COVID-19
SEIR stochastic model with generalized saturated incidence rate. We assume that the …

This study presents a computational investigation of a stochastic Zika virus along with
optimal control model using the Legendre spectral collocation method (LSCM). By …

Almost nothing decisive has been said about collocation methods for solving SPDEs.
Among the best of such SPDEs the Burgers equation shows a prototypical model for …

Explicit solutions to delay differential equation (DDE) and stochastic delay differential
equation (SDDE) can rarely be obtained, therefore numerical methods are adopted to solve …

Malaria is a possibly dangerous infection brought about by a parasite. This infection is more
normal in nations with heat and humidities. Because of chromosomal changes, the elements …