4.6 Article

Sixth-order, P-stable, Numerov-type methods for use at moderate accuracies

Journal

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 44, Issue 8, Pages 6923-6930

Publisher

WILEY
DOI: 10.1002/mma.7233

Keywords

y '' = f (x, y); Numerov; periodic problems

Funding

  1. Government of the Russian Federation [2020-220-08-6251]

Ask authors/readers for more resources

We explore a family of half-implicit Numerov-type methods for solving numerical problems, which achieve sixth algebraic orders and require four function evaluations per step. By reducing the number of stages, we develop a specific method and conduct numerical tests on stiff periodic problems to demonstrate its efficiency.
We consider a family of half-implicit Numerov-type methods for the numerical solution of the problem y('') = f(x, y). These methods use off-step points and waste four function evaluations (stages) per step. They attain sixth algebraic orders, while other methods of this type need five function evaluations per step. After we exploit this reduction in stages we construct a particular method and present various numerical tests on stiff periodic problems that justify its efficiency.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available