Computational Methods in Chemical Engineering with Maple

1. Front Matter

   PDF

2. Introduction

   • Ralph E. White, Venkat R. Subramanian

   Pages 1-27

3. Initial Value Problems

   • Ralph E. White, Venkat R. Subramanian

   Pages 29-167

4. Boundary Value Problems

   • Ralph E. White, Venkat R. Subramanian

   Pages 169-294

5. Partial Differential Equations in Semi-infinite Domains

   • Ralph E. White, Venkat R. Subramanian

   Pages 295-352

6. Method of Lines for Parabolic Partial Differential Equations

   • Ralph E. White, Venkat R. Subramanian

   Pages 353-505

7. Method of Lines for Elliptic Partial Differential Equations

   • Ralph E. White, Venkat R. Subramanian

   Pages 507-585

8. Partial Differential Equations in Finite Domains

   • Ralph E. White, Venkat R. Subramanian

   Pages 587-678

9. Laplace Transform Technique for Partial Differential Equations

   • Ralph E. White, Venkat R. Subramanian

   Pages 679-760

10. Parameter Estimation

    • Ralph E. White, Venkat R. Subramanian

    Pages 761-820

11. Miscellaneous Topics

    • Ralph E. White, Venkat R. Subramanian

    Pages 821-856

12. Back Matter

    PDF

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.

• Computational Methods
• Differential Equations with Maple
• Maple
• chemical engineering
• differential equation
• linear optimization

• Dept. Chemical Engineering, University of South Carolina, Columbia, USA

  Ralph E. White

• Department of Energy Environmental & Chemical Engineering, Washington University in Saint Louis, Saint Louis, USA

  Venkat R. Subramanian

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