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A closer look of nonlinear reaction-diffusion equations / L. Rajendran, R. Swaminathan, M. Chitra Devi.

By: Contributor(s): Material type: TextTextSeries: Theoretical and applied mathematicsPublisher: New York : Nova Science Publishers, [2020]Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781536183566
  • 1536183563
Subject(s): Genre/Form: Additional physical formats: Print version:: Closer look of nonlinear reaction-diffusion equations.DDC classification:
  • 515/.353 23
LOC classification:
  • QA377
Online resources:
Contents:
Fundamentals of non-linear reaction-diffusion equations -- Mathematical preliminaries and various methods of solving non-linear differential equations -- Steady and non-steady state reaction-diffusion equations in plane sheet -- Steady and non-steady state non-linear reaction-diffusion in a cylinder -- Steady and non-steady non-linear reaction-diffusion in a sphere -- Non-linear convection-diffusion problems -- Numerical methods.
Summary: "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"-- Provided by publisher
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Includes bibliographical references and index.

Fundamentals of non-linear reaction-diffusion equations -- Mathematical preliminaries and various methods of solving non-linear differential equations -- Steady and non-steady state reaction-diffusion equations in plane sheet -- Steady and non-steady state non-linear reaction-diffusion in a cylinder -- Steady and non-steady non-linear reaction-diffusion in a sphere -- Non-linear convection-diffusion problems -- Numerical methods.

"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"-- Provided by publisher

Print version record and CIP data provided by publisher; resource not viewed.

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