Solving Non-Linear Systems in Chemical Engineering with fsolve

When modeling chemical and biological reactors, you quickly encounter systems of non-linear equations that are impossible to solve by hand. To design efficient reactors and predict yield, you must know how to translate chemical formulas into robust numerical models. This course teaches you how to construct, analyze, and solve these complex systems using MATLAB's fsolve function. You will transition from basic algebraic representation to simulating intricate, multi-component chemical and biological reaction networks. What you will learn: Understand the foundational mathematical concepts of non-linear systems in reaction engineering; Configure and write robust MATLAB functions to represent multiple-reaction systems; Apply the fsolve algorithm to find steady-state solutions for chemical reactors; Handle initialization challenges and solver convergence issues systematically; Analyze biological growth models and enzymatic reaction networks using numerical methods. We begin with the core principles of reaction kinetics and non-linear algebra before moving step-by-step through setting up and debugging your solver scripts. This text-based course is designed for engineering students and practicing professionals who are new to numerical equation solving and want to build practical simulation skills. Start modeling your chemical systems with precision today.