TY - JOUR
T1 - Numerical solution of cubic free undamped Duffing oscillator equation using continuous implicit hybrid method
AU - Motawi Khashan, M.
AU - Syam, Muhammed I.
AU - Alomari, A. K.
N1 - Publisher Copyright:
© 2019 Forum-Editrice Universitaria Udinese SRL. All rights reserved.
PY - 2019
Y1 - 2019
N2 - In this paper, we investigate the solution of the cubic free undamped Duffing oscillator equation based on the implicit hybrid method. We investigate the consistency, zero stable, convergence, order, error constant, and region of absolute stability of the proposed method. In addition, we study the zero stability, the order, and the error constant of the block method which is generated from the proposed method. Numerical results are presented to show the efficiency of the proposed method.
AB - In this paper, we investigate the solution of the cubic free undamped Duffing oscillator equation based on the implicit hybrid method. We investigate the consistency, zero stable, convergence, order, error constant, and region of absolute stability of the proposed method. In addition, we study the zero stability, the order, and the error constant of the block method which is generated from the proposed method. Numerical results are presented to show the efficiency of the proposed method.
KW - Consistency
KW - Convergence
KW - Cubic free undamped Duffing oscillator equation
KW - Implicit hybrid method
KW - Zero stable
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M3 - Article
AN - SCOPUS:85071521471
SN - 1126-8042
SP - 588
EP - 597
JO - Italian Journal of Pure and Applied Mathematics
JF - Italian Journal of Pure and Applied Mathematics
IS - 42
ER -