The Method Of Lines Solution Of Partial Differential Equations
DOWNLOAD
Download The Method Of Lines Solution Of Partial Differential Equations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Method Of Lines Solution Of Partial Differential Equations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
The Method Of Lines Solution Of Partial Differential Equations
DOWNLOAD
Author : James M Hyman
language : en
Publisher: Legare Street Press
Release Date : 2022-10-27
The Method Of Lines Solution Of Partial Differential Equations written by James M Hyman and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-27 with categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Method Of Lines Solution Of Partial Differential Equations
DOWNLOAD
Author : James M. Hyman
language : en
Publisher: Forgotten Books
Release Date : 2015-06-24
The Method Of Lines Solution Of Partial Differential Equations written by James M. Hyman and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-24 with Mathematics categories.
Excerpt from The Method of Lines Solution of Partial Differential Equations In this paper we give an analysis of effective strategies for the so-called method of lines solution of the initial boundary value problem for partial differential equations of the form where u.= g(x, t, u, u, u, f ) t- Xxx Xf = fx, t, u, u, u) We also describe a user oriented Fortran subroutine package called MOLlD for the numerical solution of equations of this type using the method of lines. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
The Numerical Method Of Lines
DOWNLOAD
Author : William E. Schiesser
language : en
Publisher: Elsevier
Release Date : 2012-07-27
The Numerical Method Of Lines written by William E. Schiesser and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-27 with Mathematics categories.
This is the first book on the numerical method of lines, a relatively new method for solving partial differential equations. The Numerical Method of Lines is also the first book to accommodate all major classes of partial differential equations. This is essentially an applications book for computer scientists. The author will separately offer a disk of FORTRAN 77 programs with 250 specific applications, ranging from "Shuttle Launch Simulation" to "Temperature Control of a Nuclear Fuel Rod."
Adaptive Method Of Lines
DOWNLOAD
Author : A, Vande Wouwer
language : en
Publisher: CRC Press
Release Date : 2001-04-18
Adaptive Method Of Lines written by A, Vande Wouwer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-18 with Mathematics categories.
The general Method of Lines (MOL) procedure provides a flexible format for the solution of all the major classes of partial differential equations (PDEs) and is particularly well suited to evolutionary, nonlinear wave PDEs. Despite its utility, however, there are relatively few texts that explore it at a more advanced level and reflect the method's
A Compendium Of Partial Differential Equation Models
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2009
A Compendium Of Partial Differential Equation Models written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Differential equations, Partial categories.
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.
A Method Of Lines In The Numerical Solution Of Schr Dinger Equation
DOWNLOAD
Author : Lawal Sa'adu
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2012
A Method Of Lines In The Numerical Solution Of Schr Dinger Equation written by Lawal Sa'adu and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Differential equations, Partial categories.
The Method of Lines (MOL) has been one of the simplest but effective technique for solving partial differential equations (PDEs) in which all but one dimension is discretized. This work describes numerical solution of 1-dimensional Schrodinger equation using the method of lines approach (MOL) where spatial dimensions were discretized using some finite difference approximation leaving the time dimension to be the only independent variable in the resulting system of initial value problems. The effect of changing the discretization size on the accuracy of the solution procedure versus changing the step size in the integration of the resulting differential equation was also studied with the incorporation of Simpson's rule function in MATLAB.
Numerical Methods For Partial Differential Equations
DOWNLOAD
Author : William F. Ames
language : en
Publisher: Academic Press
Release Date : 2014-06-28
Numerical Methods For Partial Differential Equations written by William F. Ames and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations. The book contains many practical problems and their solutions, but at the same time, strives to expose the pitfalls--such as overstability, consistency requirements, and the danger of extrapolation to nonlinear problems methods used on linear problems. Numerical Methods for Partial Differential Equations, Third Edition reflects the great accomplishments that have taken place in scientific computation in the fifteen years since the Second Edition was published. This new edition is a drastic revision of the previous one, with new material on boundary elements, spectral methods, the methods of lines, and invariant methods. At the same time, the new edition retains the self-contained nature of the older version, and shares the clarity of its exposition and the integrity of its presentation. Material on finite elements and finite differences have been merged, and now constitute equal partners Additional material has been added on boundary elements, spectral methods, the method of lines, and invariant methods References have been updated, and reflect the additional material Self-contained nature of the Second Edition has been maintained Very suitable for PDE courses
A Compendium Of Partial Differential Equation Models
DOWNLOAD
Author : William E. Schiesser
language : en
Publisher: Cambridge University Press
Release Date : 2009-03-16
A Compendium Of Partial Differential Equation Models written by William E. Schiesser and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-16 with Computers categories.
Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.
Numerical Solution Of Pde S Using The Method Of Lines
DOWNLOAD
Author : R. L. May
language : en
Publisher:
Release Date : 1990
Numerical Solution Of Pde S Using The Method Of Lines written by R. L. May and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Differential equations, Partial categories.
Method Of Lines Pde Analysis In Biomedical Science And Engineering
DOWNLOAD
Author : William E. Schiesser
language : en
Publisher: John Wiley & Sons
Release Date : 2016-03-31
Method Of Lines Pde Analysis In Biomedical Science And Engineering written by William E. Schiesser and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-31 with Mathematics categories.
Presents the methodology and applications of ODE and PDE models within biomedical science and engineering With an emphasis on the method of lines (MOL) for partial differential equation (PDE) numerical integration, Method of Lines PDE Analysis in Biomedical Science and Engineering demonstrates the use of numerical methods for the computer solution of PDEs as applied to biomedical science and engineering (BMSE). Written by a well-known researcher in the field, the book provides an introduction to basic numerical methods for initial/boundary value PDEs before moving on to specific BMSE applications of PDEs. Featuring a straightforward approach, the book’s chapters follow a consistent and comprehensive format. First, each chapter begins by presenting the model as an ordinary differential equation (ODE)/PDE system, including the initial and boundary conditions. Next, the programming of the model equations is introduced through a series of R routines that primarily implement MOL for PDEs. Subsequently, the resulting numerical and graphical solution is discussed and interpreted with respect to the model equations. Finally, each chapter concludes with a review of the numerical algorithm performance, general observations and results, and possible extensions of the model. Method of Lines PDE Analysis in Biomedical Science and Engineering also includes: Examples of MOL analysis of PDEs, including BMSE applications in wave front resolution in chromatography, VEGF angiogenesis, thermographic tumor location, blood-tissue transport, two fluid and membrane mass transfer, artificial liver support system, cross diffusion epidemiology, oncolytic virotherapy, tumor cell density in glioblastomas, and variable grids Discussions on the use of R software, which facilitates immediate solutions to differential equation problems without having to first learn the basic concepts of numerical analysis for PDEs and the programming of PDE algorithms A companion website that provides source code for the R routines Method of Lines PDE Analysis in Biomedical Science and Engineering is an introductory reference for researchers, scientists, clinicians, medical researchers, mathematicians, statisticians, chemical engineers, epidemiologists, and pharmacokineticists as well as anyone interested in clinical applications and the interpretation of experimental data with differential equation models. The book is also an ideal textbook for graduate-level courses in applied mathematics, BMSE, biology, biophysics, biochemistry, medicine, and engineering.