Nonhomogeneous Time-dependent Boundary Condition

  • 蔡 佳晟

Student thesis: Master's Thesis

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 Award2018 Jun 25
Original languageEnglish
SupervisorSen-Yung Lee (Supervisor)

Cite this

Nonhomogeneous Time-dependent Boundary Condition
佳晟, 蔡. (Author). 2018 Jun 25

Student thesis: Master's Thesis