کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638768 1632021 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the dispersion, stability and accuracy of a compact higher-order finite difference scheme for 3D acoustic wave equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On the dispersion, stability and accuracy of a compact higher-order finite difference scheme for 3D acoustic wave equation
چکیده انگلیسی

In this paper, we propose a compact fourth-order finite difference scheme with low numerical dispersion to solve the 3D acoustic wave equation. Padé approximation has been used to obtain fourth-order accuracy in both temporal and spatial dimensions, while the alternating direction implicit (ADI) technique has been used to reduce the computational cost. Error analysis has been conducted to show the fourth-order accuracy, which has been confirmed by a numerical example. We have also shown that the proposed method is conditionally stable with a Courant–Friedrichs–Lewy (CFL) condition that is comparable to other existing finite difference schemes. Due to the higher-order accuracy, the new method is found effective in suppressing numerical dispersion.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 270, November 2014, Pages 571–583
نویسندگان
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