Solving Oscillating Problems Using Modifying Runge-Kutta Methods
2021 ◽
Vol 34
(4)
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pp. 58-67
Keyword(s):
This paper develop conventional Runge-Kutta methods of order four and order five to solve ordinary differential equations with oscillating solutions. The new modified Runge-Kutta methods (MRK) contain the invalidation of phase lag, phase lag’s derivatives, and ampliï¬cation error. Numerical tests from their outcomes show the robustness and competence of the new methods compared to the well-known Runge-Kutta methods in the scientiï¬c literature.
2012 ◽
Vol 2012
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pp. 1-20
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2004 ◽
Vol 15
(01)
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pp. 1-15
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2008 ◽
Vol 19
(06)
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pp. 957-970
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2015 ◽
Vol 2015
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pp. 1-11
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2005 ◽
Vol 15
(08)
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pp. 1203-1251
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2014 ◽
Vol 5
(1)
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