Hermite bicubic spline collocation method for Poisson's equations

Mihaela Puşcaş

doi:10.33993/jnaat331-763

Authors

Mihaela Puşcaş Fundatia Universitara AISTEDA, Alba-Iulia, Romania

DOI:

https://doi.org/10.33993/jnaat331-763

Keywords:

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

Abstract views: 219

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.

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References

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