Nonhomogeneous Time-dependent Boundary Condition

Abstract

This thesis discusses the solution method for heat conduction problems of two dimensional plate with nonhomogeneous time-dependent boundary conditions Firstly using transformation to let time-dependent endpoints be zero and then reducing the two-dimensional problem into two one-dimensional subsystems by means of the principle of superposition and generalized Fourier coefficient With help of shifting function method the non-homogeneous boundary conditions problem can be converted into the transformed function associated with homogeneous boundary conditions Eventually the transformed function can be determined by the method of eigenfunction expansion For first kind boundary conditions and with time-dependent endpoints this thesis has developed the simple solution method that doesn’t require any integral transformation Finally some heat conduction problems are studied by the proposed method

Date of Award	2018 Jun 25
Original language	English
Supervisor	Sen-Yung Lee (Supervisor)