abstract: We introduce a discretization method of boundary value problems (BVP) in the case of the two dimensional diffusion equation on a rectangular mesh with refined zones. The method consists in representing the unknown distribution and its derivatives by piecewise constant distributions (PCD) on distinct meshes together with an appropriate approximate variational formulation of the exact B...

?In this paper?, ?we study the existence of solution for a boundary value problem nonlinear fractional differential inclusion order $\alpha\in(0,1)$ with initial problems (BVP short) and standard Riemann-Liouville derivative?. ?Our approach is based on topological transversality method in fixed point theory?. use powerful due to Granas prove existnce BVP? . ?Granas commonly as relies idea an es...

The boundary value problem (BVP) for the varying coefficient linear Caputo-type fractional differential equation subject to mixed conditions on interval 0≤x≤1 was considered. First, BVP converted into an equivalent differential–integral merging conditions. Then, shifted Chebyshev polynomials and collocation method were used solve equation. Varying coefficients also decomposed truncated series s...

Abstract Calculating the mean exit time (MET) for models of diffusion is a classical problem in statistical physics, with various applications biophysics, economics and heat mass transfer. While many exact results MET are known simple geometries involving homogeneous materials, calculating realistic heterogeneous materials typically limited to repeated stochastic simulations or numerical soluti...

Left bundle branch area pacing (LBBP), has emerged as a novel method to deliver cardiac resynchronization therapy (CRT), an alternative biventricular (BVP). We aimed evaluate the outcomes of LBBP BVP CRT. A systematic literature-based search was performed on various electronic databases, i.e., PubMed, Embase, Scopus, and Cochrane libraries, for studies that compared with BVP. The primary were s...

OBJECTIVE The biventricular pacing (BVP) approach has good results in the treatment of congestive heart failure (CHF) in patients (pts) with disorders of intraventricular conduction. METHODS We have applied BVP to 28 pts, with left ventricular pacing using minitoracotomy in 3 pts and the transvenous approach via coronary sinus in 25 pts. The mean duration of the QRS complexes was 187 ms, in t...

under the initial condition v\t^= a{x) and the boundary condition fl|dQ = 0. Here Q is a bounded domain in R whose boundary dQ is assumed to be sufficiently smooth. We assume that a = a(x) continuous in S. As I. M. Gel'fand [2] pointed out, these problems arise in the theory of thermal selfignition of a chemically active mixture of gases in a vessel. He showed, in the special case where Q is an...