In this paper we describe a different operator-splitting method for decoupling complex equations with multi-dimensional and multiphysical processes for applications for porous media and phase-transitions. We introduce different operator-splitting methods with respect to their usability and applicability in computer codes. The error-analysis for the iterative operator-splitting methods is discus...

in this paper, by presenting some notions and theorems, we obtaindifferent types of fuzzy topologies. in fact, we obtain somelowen-type  and chang-type fuzzy topologies on general fuzzyautomata. to this end, first we define a kuratowski fuzzy interioroperator which induces a  lowen-type  fuzzy topology on the  set ofstates of a max- min general   fuzzy automaton. also by  provingsome theorems, ...

A prevalent strategy in vector field data analysis is to extract and classify the integral curves derived from flow data. With the exception of topology-based methods, many of these classifications depend on the choice of algorithm thresholds. However, topology-based methods have yet to be fully developed for time-varying vector field analysis. In this paper, we introduce a novel descriptor, ca...

Edge detection plays a important role in image analysis. It is used to detect the different edges in the images. By using the combination of different morphological operators in the proposed method like erosion, dilation with the different edge operators like Robert ,prewitt, sobel, log and canny to find the edges by using the structure element. The fine edges in different direction can be dete...

This research work is extended version of our previous work, which was carried out on 2-D image edge detection using daubachies db10 wavelet transform. Here in this paper, the db10 wavelet transform for edge detection is compared with most widely used edge detection techniques, such as Sobel, Prewitt, Roberts and Laplacian of Gaussian (LoG) and Canny. The comprehensive studies along with pros a...

‎In this paper we try to extend geometric concepts in the context of operator valued tensors‎. ‎To this end‎, ‎we aim to replace the field of scalars $ mathbb{R} $ by self-adjoint elements of a commutative $ C^star $-algebra‎, ‎and reach an appropriate generalization of geometrical concepts on manifolds‎. ‎First‎, ‎we put forward the concept of operator-valued tensors and extend semi-Riemannian...