Foundations of Numerical Methods for Chemical Engineering

Chemical engineering problems often involve complex systems that cannot be solved analytically. Numerical methods provide the essential tools to find practical solutions for these challenging equations. This course will equip you with a foundational understanding of numerical techniques specifically tailored for chemical engineering applications. You will learn to formulate problems, select appropriate algorithms, and interpret numerical results, enabling you to tackle a wide range of nonlinear algebraic equations encountered in process design, reaction kinetics, and transport phenomena. What you'll learn: Understand the core principles and classifications of numerical methods for solving algebraic equations. Apply iterative techniques such as the Bisection, Newton-Raphson, and Secant methods to solve single nonlinear equations. Develop strategies for solving systems of nonlinear algebraic equations using methods like Newton's method for multiple variables. Analyze convergence criteria, error propagation, and stability for various numerical algorithms. Implement numerical solutions for practical chemical engineering problems, including material balances, energy balances, and phase equilibria. Practice evaluating the efficiency and accuracy of different numerical approaches for specific problem types. Learn basic principles of numerical stability and error analysis to ensure robust and reliable computational results. The course begins with an introduction to the necessity and types of numerical methods, progressing through foundational techniques for single equations before advancing to systems of equations. It concludes with practical application examples drawn from various chemical engineering domains, emphasizing problem formulation and solution interpretation. This course is designed for aspiring chemical engineers, students, and professionals with no prior experience in numerical methods. No specific mathematical or programming background beyond basic calculus and algebra is required. Begin your journey into computational problem-solving for chemical engineering today.