The main objective of this article is to develop a non-standard partial differential equation-based anisotropic diffusion model for efficient edge-preserving denoising for speckle noised images. The standard total variation (TV)-based energy functional is not based on the
multiplicative-ness of speckle noise which is inappropriate for a speckle noise removal. Moreover, TV-based models can easily lose fine structures and produce non-physical dissipation during the noise removal process. The principal feature in this article is an introduction of a new coefficient for the non-linear diffusion term of the Euler-Lagrange equation corresponding to the minimization of the energy functional. Combination of a new model with a texture-free residual parametrization enables us to overcome the drawback arising from use of the standard TV-based model. The numerical results indicate the effectiveness and robustness of the new model.