Các bài báo công bố quốc tế

Nguyen Huy Tuan, Tran Thanh Binh; Recovery the interior temperature of a nonhomogeneous elliptic equation from boundary data; Journal of Inequalities and Applications, Vol. 2014 (2014), doi:10.1186/1029-242X-2014-19 (SCIE).

Abstract

We consider the problem of finding a function u from the boundary data u(x,1) and u y (x,1), satisfying a nonhomogeneous elliptic equation

Δu=f (x,y ), xR,0<y <1.

The problem is shown to be ill-posed. In this paper, we apply the Fourier transform to get an integral equation and give a regularized solution by directly perturbing this equation in combination with truncating high frequencies. The error estimate between the regularization solution and the exact solution is established. Finally, we present a numerical result which shows the effectiveness of the proposed method.

Keywords

Fourier transform; ill-posed problem; quasi-boundary value methods; truncation method