Cover for Applied Numerical Methods for Chemical Engineers

Applied Numerical Methods for Chemical Engineers

Book2022

Authors:

Navid Mostoufi and Alkis Constantinides

Applied Numerical Methods for Chemical Engineers

Book2022

 

Cover for Applied Numerical Methods for Chemical Engineers

Authors:

Navid Mostoufi and Alkis Constantinides

Book description

Applied Numerical Methods for Chemical Engineers emphasizes the derivation of a variety of numerical methods and their application to the solution of engineering problems, with spe ... read full description

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  2. Book chapterAbstract only

    Chapter 1 - Nonlinear equations

    Pages 1-61

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    Chapter 2 - Simultaneous linear algebraic equations

    Pages 63-135

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    Chapter 3 - Finite difference methods and interpolation

    Pages 137-178

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    Chapter 4 - Differentiation and integration

    Pages 179-224

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    Chapter 5 - Ordinary differential equations: initial value problems

    Pages 225-291

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    Chapter 6 - Ordinary differential equations: boundary value problems

    Pages 293-325

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    Chapter 7 - Partial differential equations

    Pages 327-401

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    Chapter 8 - Linear and nonlinear regression analysis

    Pages 403-476

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    Appendix - Orthogonal Polynomials

    Pages 477-481

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    Index

    Pages 483-492

About the book

Description

Applied Numerical Methods for Chemical Engineers emphasizes the derivation of a variety of numerical methods and their application to the solution of engineering problems, with special attention to problems in the chemical engineering field. These algorithms encompass linear and nonlinear algebraic equations, eigenvalue problems, finite difference methods, interpolation, differentiation and integration, ordinary differential equations, boundary value problems, partial differential equations, and linear and nonlinear regression analysis. MATLAB is adopted as the calculation environment throughout the book because of its ability to perform all the calculations in matrix form, its large library of built-in functions, its strong structural language, and its rich graphical visualization tools. Through this book, students and other users will learn about the basic features, advantages and disadvantages of various numerical methods, learn and practice many useful m-files developed for different numerical methods in addition to the MATLAB built-in solvers, develop and set up mathematical models for problems commonly encountered in chemical engineering, and solve chemical engineering related problems through examples and after-chapter problems with MATLAB by creating application m-files.

Applied Numerical Methods for Chemical Engineers emphasizes the derivation of a variety of numerical methods and their application to the solution of engineering problems, with special attention to problems in the chemical engineering field. These algorithms encompass linear and nonlinear algebraic equations, eigenvalue problems, finite difference methods, interpolation, differentiation and integration, ordinary differential equations, boundary value problems, partial differential equations, and linear and nonlinear regression analysis. MATLAB is adopted as the calculation environment throughout the book because of its ability to perform all the calculations in matrix form, its large library of built-in functions, its strong structural language, and its rich graphical visualization tools. Through this book, students and other users will learn about the basic features, advantages and disadvantages of various numerical methods, learn and practice many useful m-files developed for different numerical methods in addition to the MATLAB built-in solvers, develop and set up mathematical models for problems commonly encountered in chemical engineering, and solve chemical engineering related problems through examples and after-chapter problems with MATLAB by creating application m-files.

Key Features

  • Clearly and concisely develops a variety of numerical methods and applies them to the solution of chemical engineering problems. These algorithms encompass linear and nonlinear algebraic equations, eigenvalue problems, finite difference methods, interpolation, linear and nonlinear regression analysis, differentiation and integration, ordinary differential equations, boundary value problems, and partial differential equations
  • Includes systematic development of the calculus of finite differences and its application to the integration of differential equations, and a detailed discussion of nonlinear regression analysis, with powerful programs for implementing multivariable nonlinear regression and statistical analysis of the results
  • Makes extensive use of MATLAB and Excel, with most of the methods discussed implemented into general MATLAB functions. All the MATLAB-language scripts developed are listed in the text and included in the book’s companion website
  • Includes numerous real-world examples and homework problems drawn from the field of chemical and biochemical engineering
  • Clearly and concisely develops a variety of numerical methods and applies them to the solution of chemical engineering problems. These algorithms encompass linear and nonlinear algebraic equations, eigenvalue problems, finite difference methods, interpolation, linear and nonlinear regression analysis, differentiation and integration, ordinary differential equations, boundary value problems, and partial differential equations
  • Includes systematic development of the calculus of finite differences and its application to the integration of differential equations, and a detailed discussion of nonlinear regression analysis, with powerful programs for implementing multivariable nonlinear regression and statistical analysis of the results
  • Makes extensive use of MATLAB and Excel, with most of the methods discussed implemented into general MATLAB functions. All the MATLAB-language scripts developed are listed in the text and included in the book’s companion website
  • Includes numerous real-world examples and homework problems drawn from the field of chemical and biochemical engineering

Details

ISBN

978-0-12-822961-3

Language

English

Published

2022

Copyright

Copyright © 2022 Elsevier Inc. All rights reserved.

Imprint

Academic Press

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Authors

Navid Mostoufi

School of Chemical Engineering, College of Engineering, University of Tehran

Alkis Constantinides

Professor of Chemical and Biochemical Engineering, Rutgers University, (deceased)