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book (3)


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2020 (3)

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Book
A closer look of nonlinear reaction-diffusion equations
Authors: --- ---
ISBN: 1536183563 9781536183566 9781536182576 Year: 2020 Publisher: New York

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Abstract

"By using mathematical models to describe the physical, biological or chemical phenomena, one of the most common results is either a differential equation or a system of differential equations, together with the correct boundary and initial conditions. The determination and interpretation of their solution are at the base of applied mathematics. Hence the analytical and numerical study of the differential equation is very much essential for all theoretical and experimental researchers, and this book helps to develop skills in this area. Recently non-linear differential equations were widely used to model many of the interesting and relevant phenomena found in many fields of science and technology on a mathematical basis. This problem is to inspire them in various fields such as economics, medical biology, plasma physics, particle physics, differential geometry, engineering, signal processing, electrochemistry and materials science. This book contains seven chapters and practical applications to the problems of the real world"--


Book
Stochastic modelling of reaction-diffusion processes
Authors: ---
ISBN: 1108572995 1108628389 Year: 2020 Publisher: Cambridge : Cambridge University Press,

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This practical introduction to stochastic reaction-diffusion modelling is based on courses taught at the University of Oxford. The authors discuss the essence of mathematical methods which appear (under different names) in a number of interdisciplinary scientific fields bridging mathematics and computations with biology and chemistry. The book can be used both for self-study and as a supporting text for advanced undergraduate or beginning graduate-level courses in applied mathematics. New mathematical approaches are explained using simple examples of biological models, which range in size from simulations of small biomolecules to groups of animals. The book starts with stochastic modelling of chemical reactions, introducing stochastic simulation algorithms and mathematical methods for analysis of stochastic models. Different stochastic spatio-temporal models are then studied, including models of diffusion and stochastic reaction-diffusion modelling. The methods covered include molecular dynamics, Brownian dynamics, velocity jump processes and compartment-based (lattice-based) models.


Book
Propagating terraces and the dynamics of front-like solutions of reaction-diffusion equations on R.
Author:
ISBN: 9781470441128 Year: 2020 Publisher: Providence, RI : American Mathematical Society,

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