18 آبان 1403
ابوالحسن رزمي نيا

ابوالحسن رزمی نیا

مرتبه علمی: دانشیار
نشانی: دانشکده مهندسی سیستم های هوشمند و علوم داده - گروه مهندسی برق
تحصیلات: دکترای تخصصی / مهندسی برق
تلفن: 07731222164
دانشکده: دانشکده مهندسی سیستم های هوشمند و علوم داده

مشخصات پژوهش

عنوان Analysis of Diffusivity Equation using Differential Quadrature Method
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
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مجله Romanian Journal of Physics
شناسه DOI
پژوهشگران کامبیز رزمی نیا (نفر اول) ، ابوالحسن رزمی نیا (نفر دوم) ، ریاض خراط (نفر سوم) ، دیمیتریو بالیانو (نفر چهارم)

چکیده

Evaluation of exact analytical solution for flow to a well, under the assumptions made in its development commonly requires large amounts of computation time and can produce inaccurate results for selected combinations of parameters. Large computation times occur because the solution involves the infinite series. Each term of the series requires evaluation of exponentials and Bessel functions, and the series itself is sometimes slowly convergent. Inaccuracies can result from lack of computer precision or from the use of improper methods of numerical computation. This paper presents a computationally efficient and an accurate new methodology in differential quadrature analysis of diffusivity equation to overcome these difficulties. The methodology would overcome the difficulties in boundary conditions implementations of second order partial differential equations encountered in such problems. The weighting coefficients employed are not exclusive, and any accurate and efficient method such as the generalized differential quadrature method may be used to produce the method’s weighting coefficients. By solving finite and infinite boundary condition in diffusivity equation and by comparing the results with those of existing solutions and/or those of other methodologies, accuracy, convergences, reduction of computation time, and efficiency of the methodology are asserted.