Some Basic Models Of Physical Systems

Abstract

This chapter presents a collection of selected models of basic physical (mechanical and electrical) processes that have been routinely used in solving numerous applied engineering problems. While there are many well-known established areas appropriate for using as an introduction into applied mathematical modelling, the authors have chosen the following two topics :

• a) the mechanics of a material particle, including projectile ballistics, linear and nonlinear oscillations (Section 1),

• b) physical inverse problems, starting from Abel’s sliding particle to modern problems of computerized tomography (Section 2).