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- Title
Eighth order, phase-fitted, six-step methods for solving y″=f(x,y).
- Authors
Tsitouras, Ch.
- Abstract
A family of explicit, semi-symmetric, eighth-order, six-step methods for the numerical solution of y ″ = f (x , y) is considered. This family can be derived through interpolation techniques and only two stages (function evaluations) are spent per step. A method is given with variable coefficients. This variance is based in the requirement to nullify the errors when solving the standard simple oscillator. We conclude with numerical tests over a set of problems justifying our effort of dealing with the new method.
- Subjects
HARMONIC oscillators; INITIAL value problems
- Publication
Journal of Mathematical Chemistry, 2020, Vol 58, Issue 1, p114
- ISSN
0259-9791
- Publication type
Article
- DOI
10.1007/s10910-019-01074-5