On Taylor Differential Transform Method for the First Painleve Equation

Authors

  • A. H. Sakka
  • A. M. Sulayh

Keywords:

Taylor differential transform, First Painleve equation.

Abstract

We apply the Taylor Differential Transform Method (TDTM) to the initial value problem of the first Painleve equation. We use the deviation to calculate the accuracy of the solutions and the results are compared with the known results. Four cases of initial values, two of them were not considered before, are considered to illustrate the effectiveness of the method.

Key words and phrases. Taylor differential transform, First Painleve equation.

1991 Mathematics Subject Classification. 65L05, 34M55, 34A12, 44A05

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Published

2025-05-18

How to Cite

A. H. Sakka, & A. M. Sulayh. (2025). On Taylor Differential Transform Method for the First Painleve Equation. Jordan Journal of Mathematics and Statistics, 12(3), 391–408. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/931

Issue

Vol. 12 No. 3 (2019)

Section

Articles