Numerical Methods in Chemical Engineering: Solving DAE Systems

Chemical engineering systems often involve complex physical processes that cannot be solved by simple algebra alone. To model reactors, distillation columns, and thermodynamic states, you must master the numerical methods that solve differential-algebraic equations (DAEs). This course guides you through translating chemical engineering problems into structured numerical models. You will move from basic mathematical definitions to constructing and solving matrix-based DAE systems, gaining the skills to analyze dynamic chemical processes computationally. What you'll learn: - Understand the foundational principles of Differential-Algebraic Equations (DAEs) in chemical engineering - Formulate mass and energy balances into structured mathematical systems - Calculate and construct matrix components for general DAE solvers - Apply modern numerical approximation techniques to handle stiff chemical systems - Implement clean, structured computational workflows to solve multi-component equilibrium problems - Analyze solver convergence and error margins to ensure simulation accuracy You will begin with essential mathematical terminology and governing equations before progressing to matrix formulations and computational workflows. Through step-by-step written explanations and practical analytical exercises, you will learn to set up and resolve complex process simulations. This course is designed for chemistry students, chemical engineers, and process simulation beginners. No advanced computational background is required, as we start with foundational concepts. Start building your computational engineering toolkit today.