Mathematical Modeling of Continuous Systems Using Differential Equations

“Mathematical Modeling of Continuous Systems Using Differential Equations” provides a rigorous exploration of mathematical modeling, encompassing the realms of ordinary and partial differential equations. Focused on precision, the book navigates through essential techniques like perturbation methods, asymptotic analysis, and multiple scale analysis. It adeptly applies the calculus of variations to tackle complex problems, offering insights into the dynamics of nonlinear oscillators. With a comprehensive approach to differential equations, this textbook equips readers with the tools necessary for sophisticated mathematical modeling in various scientific disciplines. Ideal for students and researchers, it stands as a foundational resource in understanding and applying mathematical techniques to analyze continuous systems.

Keywords

Asymptotic Analysis, Calculus of Variations, Mathematical Modelling, Multiple Scale Analysis, Nonlinear Oscillators, Ordinary Differential Equations, Partial Differential Equations, Perturbation Methods