Author(s)

K. Iijima & K.Onishi

Abstract

We construct a high order finite difference method in which quadrature points do not need to have a lattice structure. In order to develop our method we show two tools using Fourier transform and Taylor expansion, respectively. On the other hand, the backward heat conduction problem is a typical example of ill-posed problems in the sense that the solution is unstable for errors in data. Our aim is to create a measles method which can be applied to the ill-posed problem. From numerical experiments we confirmed that our method is effective in order to solve the two-dimensional backward heat conduction equation subject to mixed boundary conditions. Keywords: high

Keywords