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首页> 外文会议>Federated Conference on Computer Science and Information Systems >Accuracy evaluation of classical integer order and direct non-integer order based numerical algorithms of non-integer order derivatives and integrals computations
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Accuracy evaluation of classical integer order and direct non-integer order based numerical algorithms of non-integer order derivatives and integrals computations

机译：基于经典整数阶和直接非整数阶的非整数阶导数和积分计算的数值算法的精度评估

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摘要

In this paper the authors evaluate in context of numerical calculations accuracy classical integer order and direct non-integer based order numerical algorithms of non-integer orders derivatives and integrals computations. Classical integer order based algorithm involves integer and fractional order differentiation and integration operators concatenation to obtain non-integer order. Riemann-Liouville and Caputo formulas are applied to obtain directly derivatives and integrals of non-integer orders. The following accuracy comparison analysis enables to answer the question, which algorithm of the two is burdened with lower computational error. The accuracy is estimated applying non-integer order derivatives and integrals computational formulas of some elementary functions available in the literature of the subject.
机译：在本文中，作者在数值计算的上下文中评估了经典整数阶和基于非整数的直接基于非整数阶导数的非整数阶导数和积分计算的准确性。基于经典整数阶的算法涉及整数阶和分数阶微分以及积分运算符的级联以获得非整数阶。使用黎曼-利维尔（Riemann-Liouville）和Caputo公式直接获得非整数阶的导数和积分。下面的精度比较分析可以回答以下问题：两者中的哪一种算法都具有较低的计算误差。使用非整数阶导数和该主题文献中提供的一些基本函数的积分计算公式来估算精度。

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