Project which was supported by Fulbright Visiting Scholar Program was concerned with the investigation and numerical solutions of nonlinear integro-differential models. Results of investigation obtained during 9 months were given in already published monograph – Jangveladze T., Kiguradze Z., Neta B. Numerical Solution of Three Classes of Nonlinear Parabolic Integro-Differential Equations. Monograph, Elsevier, ACADEMIC PRESS, 2015. In this monograph the similar problems as in the presented project were investigated. In particular, nonlinear models connected with process of electromagnetic field propagation into a substance were studied there. Considered in the mentioned monograph models were one-dimensional and results only for special classes of nonlinearity were obtained. Monograph was written jointly with our project’s coordinator and key personnel Prof. Zurab Kiguradze and with our colleague from host institution Prof. Beny Neta.
In monograph mainly the following issues are studied. Some properties of the solutions of the corresponding initial-boundary value problems for considered in the book models are given. Algorithms of finding approximate solutions are constructed and investigated. Results of numerical experiments with tables and graphical illustrations and their analysis are given. The description of various kinds of integro-differential equations and a brief history of their origin and applications are done.
At end of each chapter, the comments and bibliographical notes is given, which consists of description of references concerning to the topic considered.
Results obtained during Fulbright fellow were presented at different kind of conferences, workshops, symposiums and other scientific forums. Collaboration with host institution’s employees is still continuing intensively. Our co-author of abovementioned book was visited Georgia in 2015 and we sketched some plans for future collaboration.

პროექტში მონაწილე პერსონალი:

• Temur Jangveladze (პროექტის ხელმძღვანელი)