A New Perturbation-Iteration Approach for First Order Differential Equations
1
Department of Mechanical Engineering, Celal Bayar University, 45140 Muradiye Manisa, Turkey
2
Department of Mechanical Engineering, Celal Bayar University, 45140 Muradiye Manisa, Turkey
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2011, 16(4), 890-899; https://doi.org/10.3390/mca16040890
Published: 1 December 2011
Abstract
Two new perturbation-iteration algorithms for solving differential equations of first order are proposed. Variants of the algorithm are developed depending on the differential order of Taylor series expansions. The iteration algorithms are tested on a number of first order equations. Much better solutions than the regular perturbation solutions are achieved.
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MDPI and ACS Style
Pakdemirli, M.; Aksoy, Y.; Boyacı, H. A New Perturbation-Iteration Approach for First Order Differential Equations. Math. Comput. Appl. 2011, 16, 890-899. https://doi.org/10.3390/mca16040890
AMA Style
Pakdemirli M, Aksoy Y, Boyacı H. A New Perturbation-Iteration Approach for First Order Differential Equations. Mathematical and Computational Applications. 2011; 16(4):890-899. https://doi.org/10.3390/mca16040890
Chicago/Turabian StylePakdemirli, Mehmet, Yiğit Aksoy, and Hakan Boyacı. 2011. "A New Perturbation-Iteration Approach for First Order Differential Equations" Mathematical and Computational Applications 16, no. 4: 890-899. https://doi.org/10.3390/mca16040890
