The Solution of Mixed Boundary Value Problems Involving a Straight Line Segment.

摘要

Boundary value problems of mixed type are considered for the line segment (needle) in which the model equation can be either electrostatics or heat conduction. Integral transformations are used which map mixed boundary conditions into Dirichlet conditions and the transformed problem can be solved by Green's function methods. Some applications are given to illustrate the method for heat conduction,Stokes flow and solutions of mixed boundary value problems for the Helmholtz equation involving a finite strip. (Author)