Darania, ParvizIvaz, Karim2024-07-122024-07-122009Darania, P. ve Ivaz, K. (2009). Numerical solutions of nonlinear volterra-fredholm integro differential-difference equations. Maltepe Üniversitesi. s. 324.9.78605E+12https://hdl.handle.net/20.500.12415/2325In this paper, by using the theories and methods of mathematics analysis and computer algebra, a new reliable algorithm for solving high-order nonlinear VolterraFredholm integro differential-difference equationi, will establish, where f(x), K1(x, t, y(t)), K2(x, t, y(t)), prj (x), r = 0, 1, ..., R and j = 0, 1, 2, ..., m are functions that have suitable derivatives on an interval a ? x, t ? b, and a, b, ?1, ?2 and ?rj , ?rj , µi (i = 0, 1, 2, ..., m ? 1) are constants. The results of the examples indicated that this method is simple and effective, and could provide an accuracy approximate solution or exact solution of the high-order nonlinear Volterra - Fredholm integro-differential equation. This would be useful for solving integro-differential equation, integral equations and ordinary differential equation. Results of approximate solution to test problems are demonstrated.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessConference Object325324