Applied Mathematics And Modeling For Chemical Engineers
This Second Edition of the go-to reference combines the classical analysis and modern applications of applied mathematics for chemical engineers. The book introduces traditional techniques for solving ordinary differential equations (ODEs), adding new material on approximate solution methods such as perturbation techniques and elementary numerical solutions. It also includes analytical methods to deal with important classes of finite-difference equations. The last half discusses numerical solution techniques and partial differential equations (PDEs). The reader will then be equipped to apply mathematics in the formulation of problems in chemical engineering. Like the first edition, there are many examples provided as homework and worked examples.
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Preface to the Second Edition
Introduction to Complex Variables and Laplace Transforms
Approximate and Numerical Solution Methods for PDEs
Review of Methods for Nonlinear Algebraic Equations
Derivation of the FourierMellin Inversion Theorem
Table of Laplace Transforms
Transform Methods for Linear PDEs
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algebraic equations analytical apply approximate solution arbitrary constant asymptotic behavior boundary conditions catalyst Chapter coefficient collocation method collocation points computation concentration d2y dx2 defined denotes derivative diffusion dimensionless domain dy dx eigenvalues equa equation Eq error estFs evaluate exact solution example expansion finite first-order fluid flux formula Galerkin Galerkin method given in Eq heat transfer hence homogeneous independent variable initial condition inner product integral transform interpolation points inversion iteration Jacobi polynomial Laplace transform linearly independent mass balance equation matrix nondimensional nonlinear numerical obtain operator orthogonal collocation parameter partial differential equations particle pole problem quadrature points reaction rate reactor result roots Runge–Kutta Runge–Kutta method second-order Section separation of variables singular solve step Sturm–Liouville subdomain substitute temperature theorem tion trial solution vector velocity yields yn 1 yn zero