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

作者：Bulbul Berna; Sezer Mehmet^*

来源：Applied Mathematics and Computation, 2015, 262: 169-177.

DOI：10.1016/j.amc.2015.04.057

• Nonlinear differential equations
• Taylor matrix method
• Power series method
• Abel-type equations

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.

• 出版日期2015-7-1