Classical and new methods solving differential equations for chemical engineers using Maple
Classical and new methods solving differential equations for chemical engineers using Maple
Includes supplementary material: sn.pub/extras
This book presents Maple solutions to a wide range of problems relevant to chemical engineers and others. Many of these solutions use Maple´s symbolic capability to help bridge the gap between analytical and numerical solutions. The readers are strongly encouraged to refer to the references included in the book for a better understanding of the physics involved, and for the mathematical analysis. This book was written for a senior undergraduate or a first year graduate student course in chemical engineering. Most of the examples in this book were done in Maple 10. However, the codes should run in the most recent version of Maple. We strongly encourage the readers to use the classic worksheet (*. mws) option in Maple as we believe it is more user-friendly and robust. In chapter one you will find an introduction to Maple which includes simple basics as a convenience for the reader such as plotting, solving linear and nonlinear equations, Laplace transformations, matrix operations, `do loop,´ and `while loop. ´ Chapter two presents linear ordinary differential equations in section 1 to include homogeneous and nonhomogeneous ODEs, solving systems of ODEs using the matrix exponential and Laplace transform method. In section two of chapter two, nonlinear ordinary differential equations are presented and include simultaneous series reactions, solving nonlinear ODEs with Maple´s `dsolve´ command, stop conditions, differential algebraic equations, and steady state solutions. Chapter three addresses boundary value problems.
Initial Value Problems.- Boundary Value Problems.- Partial Differential Equations in Semi-infinite Domains.- Method of Lines for Parabolic Partial Differential Equations.- Method of Lines for Elliptic Partial Differential Equations.- Partial Differential Equations in Finite Domains.- Laplace Transform Technique for Partial Differential Equations.- Parameter Estimation.- Miscellaneous Topics.
This book helps chemical and other engineers develop their skills for solving mathematical models using Maple. These mathematical models can consist of systems of algebraic, ordinary, and partial differential equations. Maple´s `dsolve´ is used to obtain solutions for many of these models. Maple worksheets are provided on the Springer website for use by readers to solve the example problems in this book. Just click on Electronic Supplementary Material and insert the ISBN.
This book helps chemical and other engineers develop their skills for solving mathematical models using Maple. These mathematical models can consist of systems of algebraic, ordinary, and partial differential equations. Maple's 'dsolve' is used to obtain solutions for many of these models. Maple worksheets are provided on the Springer website for use by readers to solve the example problems in this book.
This book presents Maple solutions to a wide range of problems relevant to chemical engineers and others. Many of these solutions use Maple's symbolic capability to help bridge the gap between analytical and numerical solutions. The readers are strongly encouraged to refer to the references included in the book for a better understanding of the physics involved, and for the mathematical analysis. This book was written for a senior undergraduate or a first year graduate student course in chemical engineering. Most of the examples in this book were done in Maple 10. However, the codes should run in the most recent version of Maple. We strongly encourage the readers to use the classic worksheet (*. mws) option in Maple as we believe it is more user-friendly and robust. In chapter one you will find an introduction to Maple which includes simple basics as a convenience for the reader such as plotting, solving linear and nonlinear equations, Laplace transformations, matrix operations, 'do loop,' and 'while loop. ' Chapter two presents linear ordinary differential equations in section 1 to include homogeneous and nonhomogeneous ODEs, solving systems of ODEs using the matrix exponential and Laplace transform method. In section two of chapter two, nonlinear ordinary differential equations are presented and include simultaneous series reactions, solving nonlinear ODEs with Maple's 'dsolve' command, stop conditions, differential algebraic equations, and steady state solutions. Chapter three addresses boundary value problems.
Inhaltsverzeichnis
Initial Value Problems.- Boundary Value Problems.- Partial Differential Equations in Semi-infinite Domains.- Method of Lines for Parabolic Partial Differential Equations.- Method of Lines for Elliptic Partial Differential Equations.- Partial Differential Equations in Finite Domains.- Laplace Transform Technique for Partial Differential Equations.- Parameter Estimation.- Miscellaneous Topics.
Classical and new methods solving differential equations for chemical engineers using Maple
Includes supplementary material: sn.pub/extras
