We employ a Kansa-radial basis function (RBF) method for the numerical solution of elliptic boundary value problems in annular domains. This discretization leads, with an appropriate selection of collocation points and for any choice of RBF, to linear systems in which the matrices possess block circulant structures. These linear systems can be solved efficiently using matrix decomposition algor...

Abstract We consider the Cauchy problem for doubly nonlinear degenerate parabolic equations with inhomogeneous density on noncompact Riemannian manifolds. give a qualitative classification of behavior solutions depending function at infinity and geometry manifold, which is described in terms its isoperimetric function. establish properties as: stabilization solution to zero large times, finite ...

We study the qualitative properties of the generalized transition fronts for the reactiondiffusion equations with the spatially inhomogeneous nonlinearity of the ignition type. We show that transition fronts are unique up to translation in time and are globally exponentially stable for the solutions of the Cauchy problem. The results hold for reaction rates that have arbitrary spatial variation...

We establish a self-consistent variational framework that allows us to study numerically the non-equilibrium evolution of non-perturbative inhomogeneous field configurations including quantum backreaction effects. After discussing the practical merits and disadvantages of different approaches we provide a closed set of local and renormalizable update equations that determine the dynamical evolu...

Due to the fundamental solutions are employed as basis functions, localized method of solution can obtain more accurate numerical results than other methods in homogeneous problems. Since inverse Cauchy problem is ill posed, a small disturbance will lead great errors simulations. More needed problem. In this work, LMFS firstly proposed analyze inhomogeneous The recursive composite multiple reci...

In this article, we apply two new fixed point theorems to investigate the existence of mild solutions for a nonlocal fractional Cauchy problem with an integral initial condition in Banach spaces.

We establish a self-consistent variational framework that allows us to study numerically the non-equilibrium evolution of non-perturbative inhomogeneous field configurations including quantum backreaction effects. After discussing the practical merits and disadvantages of different approaches we provide a closed set of local and renormalizable update equations that determine the dynamical evolu...

In this paper, we study an inhomogeneous Hilbert boundary value problem with a finite index and condition on circle for generalized Cauchy-Riemann equation singular coefficient. To solve problem, conducted complete of the solvability theory analytic functions infinite due to number points special type vorticity. Based these results, have derived formula general solution studied existence soluti...