Applied Mathematical Methods for Chemical Engineers, Second Edition Book

DIFFERENTIAL EQUATIONS
Introduction Ordinary Differential Equations Model Development References
FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS
Linear Equations Additional Information on Linear Equations Nonlinear Equations Problem Setup Problems References
LINEAR SECOND-ORDER AND SYSTEMS OF FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS
Introduction Fundamental Solutions of the Homogeneous Equation Homogeneous Equations with Constant Coefficients Nonhomogeneous Equations Variable Coefficient Problems Alternative Methods Summary Applications of Second-Order Differential Equations Systems of First-Order Ordinary Differential Equations Problems References
STURM—LIOUVILLE PROBLEMS
Introduction Classification of Sturm—Liouville Problems Eigenfunction Expansion Problems References
FOURIER SERIES AND INTEGRALS
Introduction Fourier Coefficients Arbitrary Interval Cosine and Sine Series Convergence of Fourier Series Fourier Integrals Problems References
PARTIAL DIFFERENTIAL EQUATIONS
Introduction Separation of Variables The Nonhomogeneous Problem and Eigenfunction Expansion Laplace Transform Methods Combination of Variables Fourier Integral Methods Regular Perturbation Approaches Problems References
APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS IN CHEMICAL ENGINEERING
Introduction Heat Transfer Mass Transfer Comparison between Heat and Mass Transfer Results Simultaneous Diffusion and Convection Simultaneous Diffusion and Chemical Reaction Simultaneous Diffusion, Convection, and Chemical Reaction Viscous Flow Problems References
DIMENSIONAL ANALYSIS AND SCALING OF BOUNDARY VALUE PROBLEMS
Introduction A Classical Approach to Dimensional Analysis Finding the Πs Scaling Boundary Value Problems Problems References
SELECTED NUMERICAL METHODS AND AVAILABLE SOFTWARE PACKAGES
Introduction and Philosophy Solution of Nonlinear Algebraic Equations Solution of Simultaneous Linear Algebraic Equations Solution of Ordinary Differential Equations Solution of Partial Differential Equations Summary Problems References
APPENDIX A
APPENDIX B
INDEX