کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
838140 908355 2010 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analytical and numerical solutions of the density dependent Nagumo telegraph equation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Analytical and numerical solutions of the density dependent Nagumo telegraph equation
چکیده انگلیسی

In this paper, we obtained analytical and numerical solutions to a class of density dependent diffusion equations with memory–delay effect. This is a generalization of the density dependent diffusion Nagumo equation we studied recently [R.A. Van Gorder, K. Vajravelu, Physics Letters A 372 (2008) 5152]. Furthermore, we obtained series solutions for various strengths of the density dependence along with bounds on the range of the convergence. The numerical solutions are obtained by the Runge–Kutta–Fehlberg 45 method. The dependence of the traveling wave solutions on various parameters, particularly the memory–delay term, is discussed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 11, Issue 5, October 2010, Pages 3923–3929
نویسندگان
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