Pde Dynamics An Introduction Pdf
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Introduction to Partial Differential Equations
Author: K. Sankara Rao
language: en
Publisher: PHI Learning Pvt. Ltd.
Release Date: 2010-07-30
Provides students with the fundamental concepts, the underlying principles, and various well-known mathematical techniques and methods, such as Laplace and Fourier transform techniques, the variable separable method, and Green's function method, to solve partial differential equations. It is supported by miscellaneous examples to enable students to assimilate the fundamental concepts and the techniques for solving PDEs with various initial and boundary conditions.
A Compendium of Partial Differential Equation Models
Author: William E. Schiesser
language: en
Publisher: Cambridge University Press
Release Date: 2009-03-16
Mathematical modelling of physical and chemical systems is used extensively throughout science, engineering, and applied mathematics. To use mathematical models, one needs solutions to the model equations; this generally requires numerical methods. This book presents numerical methods and associated computer code in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs). The authors focus on the method of lines (MOL), a well-established procedure for all major classes of PDEs, where the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and makes the computer code easy to understand, implement, and modify. Also, the ODEs (via MOL) can be combined with any other ODEs that are part of the model (so that MOL naturally accommodates ODE/PDE models). This book uniquely includes a detailed line-by-line discussion of computer code related to the associated PDE model.
Cells and Robots
This monograph has arisen from the multidisciplinary research extending over biology, robotics and hybrid systems theory. It is inspired by modeling reactive behavior of the immune system cell population, where each cell is considered an independent agent. The authors formulate the optimal control of maximizing the probability of robotic presence in a given region and discuss the application of the Minimum Principle for partial differential equations to this problem.