Numerical Methods for Chemical Engineering

Chemical engineering problems often involve complex differential equations, transport phenomena, and thermodynamic models that cannot be solved by hand. To tackle these real-world challenges, engineers rely on robust numerical algorithms. This course bridges the gap between theoretical chemical engineering principles and practical computational execution. You will transition from setting up physical balance equations to writing and executing clean, structured code that solves them. By learning how to discretize systems and apply modern solver libraries, you will gain the confidence to model real chemical processes numerically. What you'll learn: - Understand the foundational mathematics behind numerical integration, differentiation, and root-finding algorithms - Solve systems of linear and non-linear algebraic equations representing chemical equilibrium and steady-state processes - Model transient systems by solving ordinary differential equations (ODEs) for chemical kinetics and reactor design - Apply partial differential equations (PDEs) to simulate heat and mass transfer phenomena - Implement modern error analysis and validation techniques to ensure the accuracy of your numerical simulations - Structure your engineering code using clean programming practices and optimized scientific libraries This course begins with core definitions and mathematical fundamentals, gradually moving from simple algebraic solvers to complex dynamic simulations. Through detailed written explanations and step-by-step code walkthroughs, you will build a solid foundation in computational engineering. This course is designed for beginner to intermediate engineering students and practicing professionals who want to learn numerical computation. No advanced programming background is required, though a basic understanding of calculus and general chemistry is helpful. Start mastering the computational tools of modern chemical engineering today.