we consider a mixed boundary value problem for a quarter-plane with a robin condition on one edge. we have developed two procedures, one based on the advanced theory of dual integral equations and the other, in our opinion simpler technique, relying on conformal mapping. both of the procedures are of interest, because the former may be easier to adapt to other boundary value problems.

The study scrutinizes the effect of convective heating on magnetohydrodynamic (MHD) stagnation point flow and heat transfer of upper-convected Maxell fluid p ast a s tretching s heet i n t he p resence o f n anoparticles. T he m odel u sed i n t he s tudy i ncludes t he e ffect o f B rownian m otion and thermophoresis parameters. The non-linear governing equations and their boundary conditions ...

Chang-Ling Zou, 1,2,3 Yan-Lei Zhang, 1,3 Liang Jiang, 2 Xu-Bo Zou, 1,3,∗ Guang-Can Guo 1,3 Key Laboratory of Quantum Information, University of Science and Technology of China, CAS, Hefei, Anhui 230026, China Department of Applied Physics, Yale University, New Haven, CT 06511, USA and Synergetic Innovation Center of Quantum Information & Quantum Physics, University of Science and Technology of ...

Feller’s greatest discovery in mathematics was sticky (or slowly reflecting) boundary behaviour of one-dimensional diffusion processes (characterised by the appearance of the second derivative at the boundary point). Before him (Dirichlet1, Neumann2, Robin3) it was not known that this was possible. A boundary condition containing the second derivative (in one dimension) should therefore be refe...

The BEM is applied to the solution of the torsion problem of non-homogeneous anisotropic non-circular prismatic bars. The problem is formulated in terms of the warping function. This formulation leads to a second order partial differential equation with variable coefficients, subjected to a generalized Neumann type boundary condition. The problem is solved using the Analog Equation Method (AEM)...