DIFFERENTIAL EQUATIONS in Engineering

In this book, very important fundamental issues of Differential Equations that can be included in the seminar topics of universities are discussed in order to prepare undergraduate and graduate students. Since DD solutions of Differential Equations can seldom be expressed with implicit formulas, numerical computational methods have been needed over time to approximate their solutions. For this reason, attention has been paid to give the examination properties of DD with the developed numerical solution Finite Element Method (SEM). More than 99% of today's software has been built on the basis of these methods, allowing for high-precision full-scale simulation of engineering structures. In the presented study, the traditional solution methods of Differential Equations are presented in summary form, and their applications are given in parallel with MATLAB tools. Afterwards, the features of using databases in MATLAB are explained and various applications are shown with MATLAB tools, since the analysis of Differential Equations with no implicit solution by SEM requires an extraordinarily large volume of data. For each section, education and training analysis software in MATLAB environment and video presentations of examples are presented in DVD-QR code. This book is of interest to a wide range of professionals, including students, designers, and researchers in the field of Solid Mechanics, Structural Mechanics, adding new color to their education in Differential Equation research.