10 فروردین 1403
حسين حسين زاده

حسین حسین زاده

مرتبه علمی: استادیار
نشانی: دانشکده مهندسی سیستم های هوشمند و علوم داده - گروه ریاضی
تحصیلات: دکترای تخصصی / ریاضی
تلفن: 09171743770
دانشکده: دانشکده مهندسی سیستم های هوشمند و علوم داده

مشخصات پژوهش

عنوان A New Extension of Boundary Elements Method for Classical Elliptic Partial Differential Equations with Constant Coefficients
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
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مجله NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
شناسه DOI
پژوهشگران حسین حسین زاده (نفر اول) ، محمد طاهرخانی (نفر دوم)

چکیده

This article is devoted to an extension of boundary elements method (BEM) for solving elliptic partial differential equations of general type with constant coefficients. As the fundamental solution of these equations was not available in the literature, BEM was not able to handle them, directly. So the dual reciprocity method (DRM) has been applied to tackle these problems. In this work, a fundamental solution for these equations is obtained and a new formulation is derived to solve them. Besides, we show that the rate of convergence of the new scheme is quadratic when singular (boundary and domain) integrals are calculated, accurately. The new scheme is applicable on complex domains, without needing internal nodes, just same as conventional BEM. So the CPU time of the new scheme is much less than that of the DRM. Numerical examples presented in the article show ability and efficiency of the new scheme in solving two-dimensional nonhomogenous elliptic boundary value problems, clearly.