Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction–diffusion processes are widely used to model such behaviour ...
Abstract: In this paper, we examine the recovery of a space-dependent reaction coefficient for a one-dimensional linear reaction-diffusion equation. The diffusion problem is coupled with a reading of ...
The software implementation in this repository is used to simulate the rooms analysed in the Conference paper "Determination of a diffusion coefficient function for long rooms using a least square ...
ABSTRACT: A system of ordinary differential equations (ODEs) is produced by the semi-discretize method of discretizing the advection diffusion equation (ADE). Runge-Kutta methods of the second and ...
The Fisher–Kolmogorov–Petrovsky–Piskunov equation is a diffusive logistic model for the population density of an invasive species. This paper presents a one-level numerical simulation of the ...
The Convection Diffusion Equation is a scalar transport equation, that represents the distribution of particles in an area due to diffusion, convection and sources and sinks. In general it takes the ...
Abstract: In this paper the fractional advection-diffusion equation is analysed with the aim of describing the behavior of water distribution systems. The model is defined by means of a Fractional ...
“However, to compare model predictions with empirical observations, one needs to study the diffusion equation in finite space. Despite the work of illustrious scientists such as Smoluchowski, Pólya, ...
ABSTRACT: It is difficult to obtain exact or analytical solutions to most moving boundary problems. In this paper, we employ the use of Homotopy Analysis Method (HAM) to solve a time-fractional ...
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