Numerical solutions of three classes of nonlinear parabolic integro-differential equations (Q2790391)

The present book is concerned with the numerical solutions of some classes of non-linear integro-differential models. Three types of non-linear integro-differential models (Model I, Model II, Model III) are considered.NEWLINENEWLINESome properties of the solutions for investigated equations are also given. Algorithms of finding approximate solutions together with numerical experiments and graphical illustrations are given.NEWLINENEWLINEThe book has four chapters. In the first chapter, a brief history of integro-differential equations together with the presentation of the three models to be discussed are given.NEWLINENEWLINEQualitative and quantitative properties of solutions of initial-boundary value problems are presented in the second chapter. The third chapter is devoted to the numerical solution of the initial-boundary value problems (semi-discrete schemes, finite-difference approximations, finite elements) for models stated in the previous chapter.NEWLINENEWLINEThe results of many numerical experiments with graphical illustrations and their analysis are discussed on the fourth chapter.NEWLINENEWLINEThe book is useful to scientists working in the field of nonlinear integro-differential models, in mathematical physics and numerical mathematics.