Synopses & Reviews
Bridges the gap between classical analysis and modern applications. Following the chapter on the model building stage, it introduces traditional techniques for solving ordinary differential equations, adding new material on approximate solution methods such as perturbation techniques and elementary numerical solutions. Also includes analytical methods to deal with important classes of finite-difference equations. The last half discusses numerical solution techniques and partial differential equations.
Table of Contents
Formulation of Physicochemical Problems.
Solution Techniques for Models Yielding Ordinary Differential Equations (ODE).
Series Solution Methods and Special Functions.
Integral Functions.
Staged-Process Models: The Calculus of Finite Differences.
Approximate Solution Methods for ODE: Perturbation Methods.
Numerical Solution Methods (Initial Value Problems).
Approximate Methods for Boundary Value Problems: Weighted Residuals.
Introduction to Complex Variables and Laplace Transforms.
Solution Techniques for Models Producing PDEs.
Transform Methods for Linear PDEs.
Approximate and Numerical Solution Methods for PDEs.
Appendices.
Nomenclature.
Postface.
Index.