Differential-Difference Equation Arising in Nanotechnology and It's Exact Solutions

Sheng Zhang; Qian-An Zong; Qun Gao; Dong Liu

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Differential-Difference Equation Arising in Nanotechnology and It's Exact Solutions

机译：纳米技术中的微分方程及其精确解

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摘要

Differential-difference model equations are often considered as an alternative approach to describing some phenomena arising in heat/electron conduction and flow in carbon nanotubes and nanoporous materials, this is due to the fact that continuum hypothesis is no longer valid. A (2+1)-dimensional nonlinear differential-difference equation with an arbitrary function is introduced and new exact solutions are obtained.

机译：差分模型方程通常被认为是描述碳纳米管和纳米多孔材料在热/电子传导和流动中产生的某些现象的一种替代方法，这是由于连续统假设不再有效。引入具有任意函数的（2 + 1）维非线性微分方程，得到了新的精确解。

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来源
《Journal of nano research》 |2013年第2013期|113-116|共4页
作者
Sheng Zhang; Qian-An Zong; Qun Gao; Dong Liu;
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作者单位

Department of Mathematics, Bohai University, Jinzhou 121013, China;

Department of Mathematics, Bohai University, Jinzhou 121013, China;

Department of Mathematics, Bohai University, Jinzhou 121013, China;

Department of Mathematics, Bohai University, Jinzhou 121013, China;

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原文格式 PDF
正文语种 eng
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关键词
Differential-difference equation; exact solution;

机译：微分差分方程;确切的解决方案;

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专利

1. A (2 + 1)-Dimensional Nonlinear Differential-Difference Equation Arising in Nanotechnology and Its Exact Solutions [J] . Sheng Zhang, Qian-An Zong, Qun Gao, Advanced Science Letters . 2012,第Null期

机译：纳米技术中的（2 +1）维非线性微分方程及其精确解
2. Analytical Approximate Solutions for Nonlinear Differential-Difference Equations Arising in Nanotechnology [J] . Gepreel Khaled A., Abo-Dahab S. M., Mohamed Mohamed S. Journal of computational and theoretical nanoscience . 2015,第6期

机译：纳米技术中非线性微分方程的解析近似解
3. Abundant Exact Solutions for Differential-Difference Equations Arising in Toda Mechanics [J] . WANG Yan, AN Jianye, LIU Jiangen 东华大学学报（英文版） . 2021,第003期

机译：TODA力学中产生的差分差分方程的丰富精确解决方案
4. Numerical Solution of Differential-difference Equations in Large Intervals Using a Taylor Collocation Method [C] . M. Dadkhah Tirani, F. Sohrabi, H. Almasieh, International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences . 2015

机译：泰勒搭配法以大间隔差分方程的数值解
5. On two differential-difference equations arising in analytic number theory [D] . Wheeler, Ferrell Shane 1988

机译：关于解析数论中产生的两个微分方程
6. A Note on the Solutions of Some Nonlinear Equations Arising in Third-Grade Fluid Flows: An Exact Approach [O] . Taha Aziz, F. M. Mahomed -1

机译：关于三阶流体流动中某些非线性方程解的一个精确注解
7. Exact solutions of a fractional-type differential-difference equation related to discrete MKdV equation [O] . Aslan İsmail 2014

机译：与离散MKdV方程有关的分数阶微分方程的精确解
8. NUMERICAL SOLUTION OF FUNCTIONAL EQUATIONS BY MEANS OF LAPLACE TRANSFORM-Ⅱ: DIFFERENTIAL-DIFFERENCE EQUATIONS [R] . R. E. Bellman, R.E. Kalaba, J. Lockett 1963

机译：用拉普拉变换求函数方程的数值解 - Ⅱ：微分 - 差分方程

Differential-Difference Equation Arising in Nanotechnology and It's Exact Solutions

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