Title Numerical solutions of three classes of nonlinear parabolic integro-differential equations / Temur Jangveladze, Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia, Georgian Technical University Tbilisi, Georgia, Zurab Kiguradze, Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia, Beny Neta, Naval Postgraduate School, Department of Applied Mathematics, Monterey, CA, U.S.A.