@article{article_1052608, title={Suggestion of a Perimeter Formula for Super Ellipses and their Use in Rectangular Boundary Value Problems in Physics}, journal={Karaelmas Fen ve Mühendislik Dergisi}, volume={12}, pages={166–176}, year={2022}, DOI={10.7212/karaelmasfen.1052608}, author={Erbaş, Kadir Can}, keywords={Süper elips, çevre, Laplace denklemi, dikdörtgensel sınırlar}, abstract={Super ellipses or Lame curves introduced by Gabriel Lame have been frequently studied subjects in physics and engineering in recent years. While the calculation of the area of super-ellipses is analytically possible, the lack of formulations for circumference calculations is noteworthy. To overcome this deficiency, this study aimed to write a code that computes the circumferences of super ellipses numerically and to find an approximate circumference formulation compatible with the numerical results. Additionally, the perimeter formulation obtained shows that in a rectangular boundary condition, Laplace’s equation can be reduced to approximately one dimension with super ellipses and a practical approximate solution to a difficult physical problem can be found.}, number={2}, publisher={Zonguldak Bülent Ecevit Üniversitesi}