Analysis of linear and nonlinear stiff problems using the RK-Butcher algorithm
2006 ◽
Vol 2006
◽
pp. 1-15
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Keyword(s):
I present a numerical solution of linear and nonlinear stiff problems using the RK-Butcher algorithm. The obtained discrete solutions using the RK-Butcher algorithm are found to be very accurate and are compared with the exact solutions of the linear and nonlinear stiff problems and also with the Runge-Kutta method based on arithmetic mean (RKAM). A topic of stability for the RK-Butcher algorithm is discussed in detail. Error graphs for discrete and exact solutions are presented in a graphical form to show the efficiency of the RK-Butcher algorithm. The results obtained show that RK-Butcher algorithm is more useful for solving linear and nonlinear stiff problems and the solution can be obtained for any length of time.
2011 ◽
Vol 3
(4)
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pp. 59-63
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2019 ◽
Vol 10
(7)
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pp. 1518-1528
Keyword(s):
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2021 ◽
Vol 1818
(1)
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pp. 012183
2012 ◽
Vol 21
(S1)
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pp. 347-355
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Keyword(s):
Keyword(s):
2001 ◽
Vol 25
(3)
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pp. 275-281
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Keyword(s):