Hermite bicubic spline collocation method for Poisson's equations

Abstract

In this paper is presented a bicubic spline collocation method for the numerical approximation of the solution of Dirichlet problem for the Poisson's equation. The approximating solution is effectively determined in a bicubic Hermite spline functions space by using a suitable basis constructed as a tensorial product of univariate spline spaces.

Keywords

• spline approximating solution
• Dirichlet problem
• Poisson's equation
• smooth approximation
• bicubic spline collocation