Article

Advances in Computational Mathematics

, Volume 22, Issue 4, pp 377-397

Approximation of parabolic PDEs on spheres using spherical basis functions

  • Q. T. Le GiaAffiliated withDepartment of Mathematics, Texas A&M University Email author 

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Abstract

In this paper we investigate the approximation of a class of parabolic partial differential equations on the unit spheres S n⊂Rn+1 using spherical basis functions. Error estimates in the Sobolev norm are derived.

Keywords

heat equation radial basis functions collocation method spheres