One approach to the determination of approximate solutions of the Cauchy problem for nonlinear differential equations

• Datum: 1992
• Hauptverfasser: Pelekh , Ya. M., Пелех , Я. М.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1992
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8194
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

A new technique for the construction of numerical methods based on continued fractions is proposed. A characteristic feature of these algorithms is the fact that for certain values of the parameters it is possible to obtain both novel and traditional (explicit and implicit) numerical methods for the...