ON TAYLOR DIFFERENTIAL TRANSFORM METHOD FOR THE FIRST PAINLEVE EQUATION

Abstract

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

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