A numerical approach for solving generalized Abel-type nonlinear differential equations

Berna Bülbül and Mehmet Sezer

Applied Mathematics and Computation, 2015, vol. 262, issue C, 169-177

Abstract: In this paper, a numerical power series algorithm which is based on the improved Taylor matrix method is introduced for the approximate solution of Abel-type differential equations and also, Riccati differential equations. The technique is defined and illustrated with some numerical examples. The obtained results reveal that the method is very effective, simple and valid high accuracy. The method can be easily extended to other nonlinear equations.

Keywords: Nonlinear differential equations; Taylor matrix method; Power series method; Abel-type equations (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:262:y:2015:i:c:p:169-177

DOI: 10.1016/j.amc.2015.04.057

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