SOLVING DIFFERENTIAL EQUATIONS AND INVERSE PROBLEMS WITH AI: WITH PROBLEMS AND SOLUTIONS - PART I

This book explores the exciting intersection of machine learning and differential equations (DEs), presenting modern techniques to solve one of the most fundamental mathematical challenges. DEs govern the laws of nature, appearing in contexts as diverse as Einstein’s general relativity, human behavior, and financial markets. Despite their ubiquity, no general analytical method exists to solve them, making numerical computation the only viable approach.

Over the past decade, advances i…