Title

Semianalytical Solution to Heat Transfer Problems Using Fourier Transform Technique, Radial Basis Functions, and the Method of Fundamental Solutions

Document Type

Article

Publication Date

1-1-2007

Department

Mathematics

Abstract

An analytically based approach for solving a transient heat transfer equation in a bounded two dimensional domain is proposed. The major features of the method are time-Fourier transformation of the problem, analytical derivation of an elementary particular solution for a localized radial basis delta-like source using the space-Fourier transform, expansion of the total particular solution in terms of those elementary particular solutions, approximation of the homogeneous solution using the method of fundamental solution, and inversion into the time domain using fast Fourier transform. The prime distinction of this scheme from the closest analogs lies in the construction of the particular solution.

Publication Title

Numerical Heat Transfer Part B-Fundamentals

Volume

52

Issue

5

First Page

409

Last Page

427