%0 Journal Article
%T Numerical solutions of a boundary value problem on the sphere using radial basis functions
%A Quoc Thong Le Gia
%J Mathematics
%D 2014
%I arXiv
%X Boundary value problems on the unit sphere arise naturally in geophysics and oceanography when scientists model a physical quantity on large scales. Robust numerical methods play an important role in solving these problems. In this article, we construct numerical solutions to a boundary value problem defined on a spherical sub-domain (with a sufficiently smooth boundary) using radial basis functions (RBF). The error analysis between the exact solution and the approximation is provided. Numerical experiments are presented to confirm theoretical estimates.
%U http://arxiv.org/abs/1402.3353v1