Solving Uncertain Differential Equation with Fuzzy Boundary Conditions

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2019-08-22 DOI:10.18311/JIMS/2019/18122

T. D. Rao, S. Chakraverty

引用次数: 1

Abstract

In this paper, a novel technique has been developed for solving a general linear dierential equation with fuzzy boundary conditions. The target has been to use the developed technique to solve in particular the radon transport (subsurface soil to buildings) equation with uncertain (fuzzy) boundary conditions. The fuzzy boundary condition has been described by a triangular fuzzy number (TFN). Corresponding results are presented in term of plots and are also compared with crisp ones.

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用模糊边界条件求解不确定微分方程

本文提出了一种求解具有模糊边界条件的一般线性微分方程的新方法。目标是利用已开发的技术来解决具有不确定(模糊)边界条件的氡传输(地下土壤到建筑物)方程。模糊边界条件用三角模糊数(TFN)来描述。以图的形式给出了相应的结果，并与清晰的结果进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.