NUMERICAL SIMULATION OF FRACTIONAL-DIFFERENTIAL FILTRATION-CONSOLIDATION DYNAMICS WITHIN THE FRAMEWORK OF MODELS WITH NON-SINGULAR KERNEL

V. M. Bulavatsky; V. O. Bohaienko

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NUMERICAL SIMULATION OF FRACTIONAL-DIFFERENTIAL FILTRATION-CONSOLIDATION DYNAMICS WITHIN THE FRAMEWORK OF MODELS WITH NON-SINGULAR KERNEL

机译：非奇异模型框架内的分数阶-微分滤波-固结动力学的数值模拟

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Non-classical mathematical models to describe the fractional-differential filtration-consolidation dynamics of soil media saturated with salt solutions are constructed based on the concept of the Caputo–Fabrizio fractional derivative. The corresponding boundary-value problems for the system of fractional-differential equations of filtration and salt transfer are posed, the technique for their numerical solution is developed, an approach to the parallelization of computations is presented, and the results of numerical experiments on modeling the dynamics of the process are given.

机译：基于Caputo–Fabrizio分数导数的概念，构建了描述盐溶液饱和的土壤介质的分数-微分过滤-固结动力学的非经典数学模型。提出了过滤和盐分的分数微分方程组的相应边值问题，提出了其数值解的技术，提出了一种并行计算的方法，并对该模型进行了数值实验的结果。给出了该过程的动力学。

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来源
《Cybernetics and Systems Analysis》 |2018年第2期|193-204|共12页
作者
V. M. Bulavatsky; V. O. Bohaienko;
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作者单位

V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine;

V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine;

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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
mathematical modeling; dynamics of filtration-consolidation processes; fractional-differential mathematical models; models with non-singular kernel; boundary-value problems; finite difference solutions; parallel computing;

机译：数学建模;过滤-固结过程的动力学;分数阶-微分数学模型;具有非奇异核的模型;边值问题;有限差分法;并行计算;

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NUMERICAL SIMULATION OF FRACTIONAL-DIFFERENTIAL FILTRATION-CONSOLIDATION DYNAMICS WITHIN THE FRAMEWORK OF MODELS WITH NON-SINGULAR KERNEL

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