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In this work, a new pair of diagonally implicit Runge–Kutta–Nyström methods with four stages is constructed. The proposed method has been derived to solve initial value problems of special second-order… Click to show full abstract
In this work, a new pair of diagonally implicit Runge–Kutta–Nyström methods with four stages is constructed. The proposed method has been derived to solve initial value problems of special second-order ordinary-differential equations. The principal local truncation error of the new method is obtained, and the main characteristics of the new method are analyzed. Some numerical experiments are performed, which demonstrate the robustness and efficiency of the new embedded pair.
Keywords:
runge kutta;
pair;
diagonally implicit;
special second;
implicit runge;
kutta nystr
Journal Title: Axioms
Year Published: 2022
Link to full text (if available)
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Journal Title: Axioms
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!