A Tenth-Order Runge-Kutta Method with Error Estimate
Date
2007
Authors
Feagin, Terry
Journal Title
Journal ISSN
Volume Title
Publisher
Proceedings of the IAENG Conf. on Scientific Computing
Abstract
A tenth-order explicit Runge-Kutta method with embedded results of order eight is exhibited. The difference between the results of orders eight and ten can be used to estimate the local truncation error and thus to vary the stepsize. Numerical experiments demonstrate that the method compares favorably with other high-order embedded methods.
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Citation
Feagin, T., “A Tenth-Order Runge-Kutta Method with Error Estimate,” Proceedings of the IAENG Conf. on Scientific Computing, 2007