Discrete Models for the Cube-Root Differential Equation
| dc.contributor.author | Ehrhardt, Matthias | |
| dc.contributor.author | Mickens, Ronald E. | |
| dc.date.accessioned | 2022-05-11T12:11:34Z | |
| dc.date.available | 2022-05-11T12:11:34Z | |
| dc.date.issued | 2007-10-17 | |
| dc.description.abstract | Our 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. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/16878 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-15656 | |
| dc.language.iso | en | |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | nonlinear oscillations | en |
| dc.subject.other | periodic solutions | en |
| dc.subject.other | nonstandard finite differences | en |
| dc.subject.other | stability of numerical solutions | en |
| dc.title | Discrete Models for the Cube-Root Differential Equation | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2007, 40 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 34C15 Nonlinear oscillations, coupled oscillators | en |
| tub.subject.msc2000 | 34C25 Periodic solutions | en |
| tub.subject.msc2000 | 65L07 Numerical investigation of stability of solutions | en |
| tub.subject.msc2000 | 65L12 Finite difference methods | en |
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