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

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Date

2015

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Volume Title

Publisher

Elsevier Inc.

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. © 2015 Elsevier Inc.

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Keywords

Algorithms , Differential equations , Numerical methods , Riccati equations , Abel-type equations , Approximate solution , High-accuracy , Nonlinear differential equation , Numerical approaches , Power series method , Riccati differential equation , Taylor matrix methods , Nonlinear equations

Citation

URI

http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16284

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