Computational Methods for Solving Higher-Order (1+1) Dimensional Mixed-Difference Integro-Differential Equations with Variable Coefficients

The main purpose of this article is to present a new technique for solving (1+1) mixeddimensional difference integro-differential Equations (2D-MDeIDEs) in position and time with coefficients variables under mixed conditions. equations proposed the solution represent link between delay that has not been previously studied. Therefore, authors used separation transform 2D-MDeIDE into one-dimensional Fredholm (FDeIDEs), then using Bernoulli polynomial method (BPM), we obtained system linear algebraic (SLAE). other aspect explicitly obtaining necessary appropriate function obtain best numerical results. Some experiments are performed show simplicity efficiency presented method, all results by Maple 18.