in this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional volterra-fredholm integro-differential equations. here, we use the so-called two-dimensional block-pulse functions.first, the two-dimensional block-pulse operational matrix of integration and differentiation has been presented. then, by using this matrices, the nonlinear two-dimensional vol...

/: SYNPOSIS An international collaboration proposal is made forand on behalf ofa group with the topic of “Higher Dimensional Algebra of Super-Molecular Structure and Biodynamics”, with the aim of stimulating the development of both algebraic and computational, novel approaches to modeling Super-Molecular Structures and Biodynamics in Complex

one of the most important goals in geomagnetic investigations is detecting local anomaly locations. regional anomaly can be simulating as a trend surface, and local anomalies will be detected by comparison of measured data and simulated trend surface. the problem is trying to find best coefficients of trend surface model using inverse methods based on modern optimization techniques, which are f...

infiltration is a complex process that changed by initial moisture and water head on the soil surface. the main objective of this study was to estimate the coefficients of infiltration equations, kostiakov-lewis, philip and horton, and evaluate the sensitivity of these equations and their coefficients under various initial conditions (initial moisture soil) and boundary (water head on soil surf...

We present an application of the program of groupoidification leading up to a sketch of a categorification of the Hecke algebroid—the category of permutation representations of a finite group. As an immediate consequence, we obtain a categorification of the Hecke algebra. We suggest an explicit connection to new higher isomorphisms arising from incidence geometries, which are solutions of the Z...

We discuss some of the origins and applications of the notion of higher dimensional algebra, with the hope that this will encourage new insights into the development of the mathematics of complex hierarchical systems.