Electronic Journal of Differential Equations, Vol. 2009(2009), No. 104, pp. 1-8. Title: Error evaluation of approximate solutions for sum-difference equations in two variables Author: Baburao G. Pachpatte (Aurangabad, Maharashtra, India) Abstract: This article presents estimates for the approximation of solutions of certain sum-difference equations in two independent variables with given initial conditions. A fundamental finite difference inequality with explicit estimate is used to establish our results. Submitted June 8, 2009. Published August 27, 2009. Math Subject Classifications: 26D10, 39A10, 65R20, 45G10. Key Words: Approximate solutions; sum-difference equation; finite difference inequality.