@Article{IJNAM-20-6,
author = {Bialecki, Bernard and Nick, Fisher},
title = {Orthogonal Spline Collocation for Poisson’s Equation with Neumann Boundary Conditions},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2023},
volume = {20},
number = {6},
pages = {832--854},
abstract = {<p style="text-align: justify;">We apply orthogonal spline collocation with splines of degree $r ≥ 3$ to solve, on the
unit square, Poisson’s equation with Neumann boundary conditions. We show that the $H^1$ norm
error is of order $r$ and explain how to compute efficiently the approximate solution using a matrix
decomposition algorithm involving the solution of a symmetric generalized eigenvalue problem.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2023-1036},
url = {https://global-sci.com/article/82918/orthogonal-spline-collocation-for-poissons-equation-with-neumann-boundary-conditions}
}