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A modified Runge-Kutta method for the numerical solution of ODE's with oscillation solutions

✍ Scribed by T.E. Simos


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
281 KB
Volume
9
Category
Article
ISSN
0893-9659

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✍ Tobin A. Driscoll 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 202 KB

A new composite Runge-Kutta (RK) method is proposed for semilinear partial differential equations such as Korteweg-de Vries, nonlinear Schrödinger, Kadomtsev-Petviashvili (KP), Kuramoto-Sivashinsky (KS), Cahn-Hilliard, and others having high-order derivatives in the linear term. The method uses Four