Focusing on the application of mathematics to chemical engineering, Applied Mathematical Methods for Chemical Engineers addresses the setup and verification of mathematical models using experimental or other independently derived data. The book provides an introduction to differential equations common to chemical engineering, followed by examples of first-order and linear second-order ordinary differential equations. Later chapters examine Sturm–Liouville problems, Fourier series, integrals, linear partial differential equations, regular perturbation, combination of variables, and numerical methods emphasizing the method of lines with MATLAB® programming examples.Fully revised and updated, this Third Edition: Includes additional examples related to process control, Bessel Functions, and contemporary areas such as drug deliveryIntroduces examples of variable coefficient Sturm–Liouville problems both in the regular and singular typesDemonstrates the use of Euler and modified Euler methods alongside the Runge–Kutta order-four methodInserts more depth on specific applications such as nonhomogeneous cases of separation of variablesAdds a section on special types of matrices such as upper- and lower-triangular matricesPresents a justification for Fourier-Bessel series in preference to a complicated proofIncorporates examples related to biomedical engineering applicationsIllustrates the use of the predictor-corrector methodExpands the problem sets of numerous chaptersApplied Mathematical Methods for Chemical Engineers, Third Edition uses worked examples to expose several mathematical methods that are essential to solving real-world process engineering problems.
