Ehrhardt, MatthiasMickens, Ronald E.2022-05-112022-05-112007-10-172197-8085https://depositonce.tu-berlin.de/handle/11303/16878http://dx.doi.org/10.14279/depositonce-15656Our main purpose is to construct one standard and three nonstandard finite difference schemes for the cube-root differential equation. After an analysis of the general qualitative features of the solutions to this equation and a calculation of the exact period, we study the stability of the numerical solutions for the four discretization schemes. Our general conclusion is that the standard forward-Euler method gives unstable numerical solutions, while the three nonstandard schemes provide suitable integration procedures.en510 Mathematiknonlinear oscillationsperiodic solutionsnonstandard finite differencesstability of numerical solutionsResearch Paper