Feagin, Terry2020-04-282020-04-282007Feagin, T., “A Tenth-Order Runge-Kutta Method with Error Estimate,” Proceedings of the IAENG Conf. on Scientific Computing, 2007https://hdl.handle.net/10657.1/2301A 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.en-USArticle