The classical half-line Robin problem for the heat equation may be solved via a spatial Fourier transform method. In this work, we study in which static condition $$bq(0,t) + {q_x}(0,t) = 0$$ is replaced with dynamic condition; $$b b(t)$$ allowed to vary time. Applications include convective heating by corrosive liquid. We present solution representation and justify its validity, an extension o...

The present work illustrates the variable viscosity of dust nanofluid runs over a permeable stretched sheet with thermal radiation. The problem has been modelled mathematically introducing the mixed convective condition and magnetic effect. Additionally analysis of entropy generation and Bejan number provides the fine points of the flow. The of model equations are transformed into non-linear or...

Abstract. We study the initial-boundary value problem of the Navier-Stokes equations for incompressible fluids in a general domain in R with compact and smooth boundary, subject to the kinematic and vorticity boundary conditions on the non-flat boundary. We observe that, under the nonhomogeneous boundary conditions, the pressure p can be still recovered by solving the Neumann problem for the Po...

We consider linear n-th order stochastic differential equations on [0, 1], with linear boundary conditions supported by a finite subset of [0, 1]. We study some features of the solution to these problems, and especially its conditional independence properties of Markovian type. AMS Classification: 60H10, 60J25 Supported by grants SGR99-87 of CIRIT and BFM2000-0009 of DGESIC Supported by grant C...

We describe a 2-D finite difference algorithm for inverting the Poisson equation on an irregularly shaped domain, with mixed boundary conditions, with the domain embedded in a rectangular Cartesian grid. We give both linear and quadratic boundary treatments and derive 1D error expressions for both cases. The linear approach uses a 5-point formulation and is first-order accurate while the quadra...

‎second derivative general linear methods (sglms) as an extension‎ ‎of general linear methods (glms) have been introduced to improve‎ ‎the stability and accuracy properties of glms‎. ‎the coefficients of‎ ‎sglms are given by six matrices‎, ‎instead of four matrices for‎ ‎glms‎, ‎which are obtained by solving nonlinear systems of order and‎ ‎usually runge--kutta stability conditions‎. ‎in this p...

in this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the lipschitz type condition. moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.