Abstract The Taylor series method for initial value problems associated with dynamic equations of first order on time scales with delta differentiable graininess function is introduced. The trapezoidal rule for the same types of problems is derived and applied to specific examples. Numerical results are presented and discussed.

中文翻译：

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时间尺度上的泰勒级数方法和梯形规则

摘要 介绍了具有δ可微粒度函数的时标一阶动力方程初值问题的泰勒级数方法。推导出同类型问题的梯形规则，并应用于具体实例。给出并讨论了数值结果。