کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1261159 1496520 2015 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new approach for a class of nonlinear boundary value problems with multiple solutions
ترجمه فارسی عنوان
یک رویکرد جدید برای یک کلاس از مسائل ارزش مرزی غیر خطی با راه حل های مختلف
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی (عمومی)
چکیده انگلیسی

In this paper, an approach based on the variational iteration method (VIM) is proposed with an auxiliary parameter to predict the multiplicity of the solutions of homogeneous nonlinear ordinary differential equations with boundary conditions. The proposed approach is capable to predict and calculate all branches of the solutions simultaneously. Four practical problems are chosen to show the efficiency and importance of the proposed method. The proposed approach successfully detects multiple solutions to Bratu’s problem, the model of mixed convection flows in a vertical channel, the nonlinear model of diffusion and reaction in porous catalysts and the nonlinear reactive transport model.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Association of Arab Universities for Basic and Applied Sciences - Volume 17, April 2015, Pages 27–35
نویسندگان
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