A new PEC algorithm for the numerical solution of ordinary differential equations
Copyright policy )A new PEC algorithm for the numerical solution of ordinary differential equations
Significant time reduction in obtaining numerical solutions of ordinary differential equations for which function evaluations are time consuming can be obtained with PEC methods as compared to PECE methods. In this report we present two PEC methods: a fourth-order algorithm for which stability characteristics and numerical examples are presented, and a second-order algorithm which is just mentioned. It is believed that PEC methods represent a useful addition to the library of solution techniques.
- DePaul University United States
significant time reduction, numerical examples, stability properties, fourth-order algorithm, second-order algorithm, Numerical investigation of stability of solutions to ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations, algorithms of Runge- Kutta and Adams type
significant time reduction, numerical examples, stability properties, fourth-order algorithm, second-order algorithm, Numerical investigation of stability of solutions to ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations, algorithms of Runge- Kutta and Adams type
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