A New Perturbation-Iteration Approach for First Order Differential Equations

Mathematical and Computational Applications

Pakdemirli, Mehmet¹ 

关键词: Perturbation Methods;    Perturbation-Iteration Algorithms;    First Order Differential Equations;    Numerical Solutions;    Convergence;   

DOI  :  10.3390/mca16040890

学科分类：计算数学

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY