This book presents a methodology for the development and computer implementation of dynamic models for transport process systems. Rather than developing the general equations of transport phenomena, it develops the equations required specifically for each new example application. These equations are generally of two types: ordinary differential equations (ODEs) and partial differential equations (PDEs) for which time is an independent variable. The computer-based methodology presented is general purpose and can be applied to most applications requiring the numerical integration of initial-value ODEs/PDEs. A set of approximately two hundred applications of ODEs and PDEs developed by the authors are listed in Appendix 8.
1. Cover image 2. Title page 3. Table of Contents 4. Copyright 5. Dedication 6. Preface 7. Chapter 1: The Nature of Dynamic Systems 8. Chapter 2: Basic Concepts in the Numerical Integration of Ordinary Differential Equations 9. Chapter 3: Accuracy in the Numerical Integration of Ordinary Differential Equations 10. Chapter 4: Stability in the Numerical Integration of Ordinary Differential Equations 11. Chapter 5: Systems Modeled by Ordinary Differential Equations 12. Chapter 6: Systems Modeled by First Order Partial Differential Equations 13. Chapter 7: Systems Modeled by Second Order Partial Differential Equations 14. Chapter 8: Systems Modeled by First/Second Order, Multidimensional and Multidomain Partial Differential Equations 15. APPENDIX 1: Integrator INT1 16. APPENDIX 2A: Main Program DSS2S 17. APPENDIX 2B: Subroutine INTEG Called by Main Program DSS2S 18. APPENDIX 3: Integrator INT8 19. APPENDIX 4: Integrator INT15 20. APPENDIX 5: Integrator INTM15 21. APPENDIX 6: Main Program to Call Subroutine LSODE 22. APPENDIX 7: Main Program to Call Subroutine DASSL 23. APPENDIX 8: Library of ODE and PDE Applications 24. APPENDIX 9: Spatial Differentiation Routines 25. Index
This book presents a methodology for the development and computer implementation of dynamic models for transport process systems. Rather than developing the general equations of transport phenomena, it develops the equations required specifically for each new example application. These equations are generally of two types: ordinary differential equations (ODEs) and partial differential equations (PDEs) for which time is an independent variable. The computer-based methodology presented is general purpose and can be applied to most applications requiring the numerical integration of initial-value ODEs/PDEs. A set of approximately two hundred applications of ODEs and PDEs developed by the authors are listed in Appendix 8.
1. Cover image 2. Title page 3. Table of Contents 4. Copyright 5. Dedication 6. Preface 7. Chapter 1: The Nature of Dynamic Systems 8. Chapter 2: Basic Concepts in the Numerical Integration of Ordinary Differential Equations 9. Chapter 3: Accuracy in the Numerical Integration of Ordinary Differential Equations 10. Chapter 4: Stability in the Numerical Integration of Ordinary Differential Equations 11. Chapter 5: Systems Modeled by Ordinary Differential Equations 12. Chapter 6: Systems Modeled by First Order Partial Differential Equations 13. Chapter 7: Systems Modeled by Second Order Partial Differential Equations 14. Chapter 8: Systems Modeled by First/Second Order, Multidimensional and Multidomain Partial Differential Equations 15. APPENDIX 1: Integrator INT1 16. APPENDIX 2A: Main Program DSS2S 17. APPENDIX 2B: Subroutine INTEG Called by Main Program DSS2S 18. APPENDIX 3: Integrator INT8 19. APPENDIX 4: Integrator INT15 20. APPENDIX 5: Integrator INTM15 21. APPENDIX 6: Main Program to Call Subroutine LSODE 22. APPENDIX 7: Main Program to Call Subroutine DASSL 23. APPENDIX 8: Library of ODE and PDE Applications 24. APPENDIX 9: Spatial Differentiation Routines 25. Index
