The linear systems with separable matrices arising from the nite diierence discretization of constant-coeecient elliptic equations in rectangles are considered. A new direct method is proposed and analyzed for the approximate solution of general partial solution problems for such systems of grid equations. This method can be used also with quasiuniform discretization grids, whereas the earlier ...

in this paper, we study the existence of extremal solutions forimpulsive delay fuzzy integrodifferential equations in$n$-dimensional fuzzy vector space, by using monotone method. weshow that obtained result is an extension of the result ofrodr'{i}guez-l'{o}pez cite{rod2} to impulsive delay fuzzyintegrodifferential equations in $n$-dimensional fuzzy vector space.

this study presents exact bending solution of fully clamped orthotropic rectangular plates subjected to arbitrary loads resting on elastic foundations, based on the finite integral transform method. in this method, it is not necessary to determine the deformation function because the basic governing equations of the classical plate theory for orthotropic plates have been used. a detailed parame...

this paper presents time domain fundamental solutions for the extended biot's dynamic formulations of two-dimensional (2d) unsaturated poroelasticity. unsaturated porous media is considered as a porous media in which the voids are saturated with two immiscible fluids, i.e. liquid and gas. at first, the corresponding explicit laplace transform domain fundamental solution is obtained in term...

in this paper, the nonlinear differential equation for the convection of the temperature distribution of a straight fin  with the thermal conductivity depends on the temperature is solved using adomian decomposition method and padé approximation(padm) for boundary problems. actual results are then compared with results obtained previously  using digital solution by runge–kuttamethod and a diffe...

The footwear industry’s need for an automatic containment algorithm is becoming increasingly important within the manufacturing process. Irregular containers, such as hides, have many different quality regions and holes that must be taken into account when containment is done because they represent an important cost. Automatic containment processes should be aware of these factors and still per...

We study Hamilton-Jacobi equations in a bounded domain with the state constraint boundary condition. We establish a general convergence result for viscosity solutions of the Cauchy problem for Hamilton-Jacobi equations with the state constraint boundary condition to asymptotic solutions as time goes to infinity.

A theory of viscosity solutions in metric spaces based on local slopes was initiated in [39]. In this manuscript we deepen the study of [39] and present a more complete account of the theory of metric viscosity solutions of Hamilton–Jacobi equations. Several comparison and existence results are proved and the main techniques for such metric viscosity solutions are illustrated.

A new concept of viscosity solutions, namely, the Hausdorff continuous viscosity solution for the Hamilton-Jacobi equation is defined and investigated. It is shown that the main ideas within the classical theory of continuous viscosity solutions can be extended to the wider space of Hausdorff continuous functions while also generalizing some of the existing concepts of discontinuous solutions.