کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471504 698637 2016 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Higher order ADI method with completed Richardson extrapolation for solving unsteady convection–diffusion equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Higher order ADI method with completed Richardson extrapolation for solving unsteady convection–diffusion equations
چکیده انگلیسی

A higher order alternating direction implicit (ADI) method with completed Richardson extrapolation is proposed for solving unsteady two dimensional convection–diffusion equations. The method has sixth-order accuracy in space and fourth-order accuracy in time. Completed Richardson extrapolation is used to improve the accuracy of the solution obtained from the high-order ADI method in spatial and temporal domains simultaneously. Stability analysis is given to show the influence of Richardson extrapolation on the unconditionally stable ADI method. Numerical experiments are conducted to test its high accuracy and to compare it with Karaa–Zhang’s high-order ADI method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 71, Issue 1, January 2016, Pages 431–442
نویسندگان
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