Methods of Mathematical Modelling

October 31, 2020
Methods of Mathematical Modelling

This book presents mathematical modelling and the integratedprocess of formulating sets of equations to describe real-worldproblems. It describes methods for obtaining solutions ofchallenging differential equations stemming from problems in areassuch as chemical reactions, population dynamics, mechanicalsystems, and fluid mechanics.Chapters 1 to 4 cover essential topics in ordinary differentialequations, transport equations and the calculus of variations thatare important for formulating models. Chapters 5 to 11 then developmore advanced techniques including similarity solutions, matchedasymptotic expansions, multiple scale analysis, long-wave models,and fast/slow dynamical systems.Methods of Mathematical Modelling will be useful for advancedundergraduate or beginning graduate students in appliedmathematics, engineering and other applied sciences.