Numerical solutions of fuzzy partial differential equations and its application in heat transfer problem

سال انتشار: 1394
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 384

فایل این مقاله در 6 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

ICFUZZYS14_045

تاریخ نمایه سازی: 21 اردیبهشت 1397

چکیده مقاله:

Calculation of the solution of fuzzy partial differential equations is in general very difficult. We can find the exact solution only in some special cases. Fortunately, in most of mathematical applications relations between the solutions and uncertain parameters are monotone. In this case, the exact solution can be calculated using only endpoints of given intervals. In this paper, a very efficient algorithm of solution was presented. This algorithm is based on finite element method (FEM) and sensitivity analysis. Using this method we can solve heat transfer problem with thousands degree of freedom.

کلیدواژه ها:

fuzzy sets ، finite element method ، heat transfer problem ، fuzzy partial differential equations

نویسندگان

Parisa Shams derakhsh

M.Sc, Department of Applied Mathematics and Computer, University of Allameh Tabatabai Tehran, Iran,

Parivash Shams derakhsh

M.Sc, Department of Applied Mathematics, University of Guilan, Rasht, Iran,