An Implicit Runge-Kutta Method for Perturbed Ordinary Differential Equations
| dc.contributor.author | Feagin, Terry | |
| dc.date.accessioned | 2020-04-28T17:50:53Z | |
| dc.date.available | 2020-04-28T17:50:53Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | A novel approach is developed for computing the numerical solution of perturbed ordinary differential equations using implicit Runge-Kutta methods. At each step of the integration of the differential equations, the method uses an enhanced initial approximation for each stage and then solves the implicit equations using a modified Picard iteration. The new approach offers greater efficiency for computing numerical solutions to perturbed initial value problems. | en_US |
| dc.identifier.citation | Feagin, T., “An Implicit Runge-Kutta Method for Perturbed Ordinary Differential Equations,” Proceedings of Neural, Parallel & Scientific Computations, Vol. 4, pp. 129-134 (2010). Dynamic Publishers, Inc., U.S.A. | en_US |
| dc.identifier.uri | https://hdl.handle.net/10657.1/2297 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Proceedings of Neural, Parallel & Scientific Computations | en_US |
| dc.subject | Integro-differential equation, Singular perturbation, Integro-differential-algebraic equation, Runge-Kutta method | en_US |
| dc.title | An Implicit Runge-Kutta Method for Perturbed Ordinary Differential Equations | en_US |
| dc.type | Article | en_US |
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