This document presents a method for non-blind image deblurring using partial differential equations (PDEs). It introduces a PDE-based model to describe the blurring process caused by relative motion between the camera and object. The model is discretized using the Navier-Stokes equation, resulting in a PDE that can be used to deblur images. Algorithms are presented to deblur images blurred in the vertical and horizontal directions separately, as well as a combined algorithm to handle two-directional motion blur. Experimental results on blurred and noisy test images show the PDE method achieves better deblurring compared to other techniques like Wiener filtering, as measured by higher peak signal-to-noise ratio values