Explicit Runge-Kutta methods for the numerical solution of initial value problems
-
Charalampos Tsitouras
tsitoura@math.ntua.gr
Downloads
Abstract
Explicit Runge-Kutta pairs are the most popular methods for integrating non-stiff initial value problems. Basic theory concerning its occuracy, stability and other properties is presented here as long as with implementation issues. Finally a new pair of orders 5(4) suitable for oscillatory problems is presented and tested.
Keywords
Similar Articles
- Mouffak Benchohra, Omar Bennihi, Khalil Ezzinbi, Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- L. K. Kikina, I.P. Stavroulakis, A Survey on the Oscillation of Solutions of First Order Delay Difference Equations , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- A. Rodkina, On Asymptotic Stability of Nonlinear Stochastic Systems with Delay , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- Ioannis K. Argyros, Santhosh George, Extended domain for fifth convergence order schemes , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Vediyappan Govindan, Choonkil Park, Sandra Pinelas, Themistocles M. Rassias, Hyers-Ulam stability of an additive-quadratic functional equation , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- Junwei Liu, Chuanyi Zhang, Existence and stability of almost periodic solutions to impulsive stochastic differential equations , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Nenad Ujevi´c, Error Inequalities for a Taylor-like Formula , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- A. Kaboré, S. Ouaro, Anisotropic problem with non-local boundary conditions and measure data , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Abderrahim Guerfi, Abdelouaheb Ardjouni, Existence, uniqueness, continuous dependence and Ulam stability of mild solutions for an iterative fractional differential equation , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Akio Matsumoto, Ferenc Szidarovszky, An Elementary Study of a Class of Dynamic Systems with Single Time Delay , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2002-06-01
How to Cite
[1]
C. Tsitouras, “Explicit Runge-Kutta methods for the numerical solution of initial value problems”, CUBO, vol. 4, no. 2, pp. 177–193, Jun. 2002.
Issue
Section
Articles
