Numerical simulations of nonlinear stochastic Newell-Whitehead-Segel equation and its measurable properties
In this article, the stochastic form of the Newell-Whitehead-Segel equation has been
investigated. This is a fully nonlinear partial differential equation and has huge applications …
investigated. This is a fully nonlinear partial differential equation and has huge applications …
[HTML][HTML] Comparative analysis of numerical with optical soliton solutions of stochastic Gross–Pitaevskii equation in dispersive media
This article deals with the stochastic Gross–Pitaevskii equation (SGPE) perturbed with
multiplicative time noise. The numerical solutions of the governing model are carried out …
multiplicative time noise. The numerical solutions of the governing model are carried out …
Comparative analysis of numerical and newly constructed soliton solutions of stochastic Fisher-type equations in a sufficiently long habitat
This paper is a key contribution with respect to the applications of solitary wave solutions to
the unique solution in the presence of the auxiliary data. Hence, this study provides an …
the unique solution in the presence of the auxiliary data. Hence, this study provides an …
A computational scheme for stochastic non-Newtonian mixed convection nanofluid flow over oscillatory sheet
Stochastic simulations enable researchers to incorporate uncertainties beyond numerical
discretization errors in computational fluid dynamics (CFD). Here, the authors provide …
discretization errors in computational fluid dynamics (CFD). Here, the authors provide …
Reliable numerical analysis for stochastic reaction-diffusion system
In this article, stochastic behavior of reaction diffusion brusselator model is under
consideration. There are many physical phenomena which are related to chemical …
consideration. There are many physical phenomena which are related to chemical …
[HTML][HTML] A dynamical study on stochastic reaction diffusion epidemic model with nonlinear incidence rate
The current study deals with the stochastic reaction–diffusion epidemic model numerically
with two proposed schemes. Such models have many applications in the disease dynamics …
with two proposed schemes. Such models have many applications in the disease dynamics …
A reliable computational scheme for stochastic reaction–diffusion nonlinear chemical model
The main aim of this contribution is to construct a numerical scheme for solving stochastic
time-dependent partial differential equations (PDEs). This has the advantage of solving …
time-dependent partial differential equations (PDEs). This has the advantage of solving …
Innovative stochastic finite difference approach for modelling unsteady non-Newtonian mixed convective fluid flow with variable thermal conductivity and mass …
MS Arif, K Abodayeh, Y Nawaz - Frontiers in Physics, 2024 - frontiersin.org
A novel stochastic numerical scheme is introduced to solve stochastic differential equations.
The development of the scheme is based on two different parts. One part finds the solution …
The development of the scheme is based on two different parts. One part finds the solution …
Splitting physics-informed neural networks for inferring the dynamics of integer-and fractional-order neuron models
We introduce a new approach for solving forward systems of differential equations using a
combination of splitting methods and physics-informed neural networks (PINNs). The …
combination of splitting methods and physics-informed neural networks (PINNs). The …
Investigation of soliton structures for dispersion, dissipation, and reaction time-fractional KdV–burgers–Fisher equation with the noise effect
In this manuscript, the soliton structures for the time-fractional KdV–Burgers–Fisher equation
with the effect of noise are investigated analytically. This is the dispersion–dissipation …
with the effect of noise are investigated analytically. This is the dispersion–dissipation …