کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
816495 906448 2014 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An analytical algorithm for nonlinear fractional Fornberg–Whitham equation arising in wave breaking based on a new iterative method
ترجمه فارسی عنوان
یک الگوریتم تحلیلی برای معادله فورنبرگا وثم غیرخطی ناشی از شکست موج براساس روش تکرار جدید
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی

This work suggests a new analytical technique called the fractional homotopy analysis transform method (FHATM) for solving fractional Fornberg–Whitham equation. The fractional homotopy analysis transform method is an innovative adjustment in Laplace transform algorithm (LTA) and makes the calculation much simpler. In this paper, it can be observed that auxiliary parameter ℏ, which controls the convergence of the FHATM approximate series solutions, also can be used in predicting and calculating multiple solutions. This is basic and more qualitative difference in analysis between FHATM and other methods. The solutions obtained by proposed method indicate that the approach is easy to implement and computationally very attractive. The proposed method is illustrated by solving numerical example.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Alexandria Engineering Journal - Volume 53, Issue 1, March 2014, Pages 225–231
نویسندگان
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