کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1876844 1531907 2012 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A modified Numerov method for solving singularly perturbed differential–difference equations arising in science and engineering
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
A modified Numerov method for solving singularly perturbed differential–difference equations arising in science and engineering
چکیده انگلیسی

In this paper a modified fourth order Numerov method is presented for singularly perturbed differential–difference equation of mixed type, i.e., containing both terms having a negative shift and terms having positive shift. Similar boundary value problems are associated with expected first exit time problems of the membrane potential in the models for the neuron. To handle the negative and positive shift terms, we construct a special type of mesh, so that the terms containing shift lie on nodal points after discretization. The proposed finite difference method works nicely when the shift parameters are smaller or bigger to perturbation parameter. An extensive amount of computational work has been carried out to demonstrate the proposed method and to show the effect of shift parameters on the boundary layer behavior or oscillatory behavior of the solution of the problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Results in Physics - Volume 2, 2012, Pages 100–103
نویسندگان
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