期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Differential transform method for solving Richards' equation

Differential transform method for solving Richards' equation
下载PDF
导出
摘要 An approximate solution to Richards＇ equation is presented, mathematically describing a sort of unsaturated single phase fluid flow in porous media. The approach is a differential transform method （DTM） with intermediate variables. Two examples are given to demonstrate the accuracy of the presented solution. An approximate solution to Richards＇ equation is presented, mathematically describing a sort of unsaturated single phase fluid flow in porous media. The approach is a differential transform method （DTM） with intermediate variables. Two examples are given to demonstrate the accuracy of the presented solution.
作者 Xi CHEN Ying DAI
机构地区 School of Aerospace Engineering and Applied Mechanics
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第2期169-180,共12页 应用数学和力学（英文版）
基金 Project supported by the National Basic Research Program of China(973 Program)(No.2011CB013800)
关键词 approximate analytical solution Richavds＇ equation differential transform method （DTM） intermediate variable approximate analytical solution, Richavds＇ equation, differential transform method （DTM）, intermediate variable
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献4

二级参考文献65

  • 1Natfeg A H. Introduction to Perturbation Techniques [ M ]. New York: John Wiley & Sons, 1981.
  • 2Natfeg A H. Problems in Perturbation[M]. New York: John Wiley &Sons, 1985.
  • 3Lyapunov A M. General Problem on Stability of Motion [M]. London: Taylor & Francis, 1992.
  • 4Adomain G. Nonlinear stochastic differential equations[ J]. Journal Mathematical Analysis and Application, 1976, 55(2) : 441-452.
  • 5Adomain G. A global method for solution of complex systems [ J ]. Mathematical Model,1984, 5(4) : 521-568.
  • 6Adomain G. Solving Frontier Problems of Physics: the Decomposition Method [ M ]. Boston and London: Kluwer Academic Publishers, 1994.
  • 7廖世俊.超越摄动:同伦分析方法导论[M].科学出版社,2007.
  • 8Zhou J K. Differential Transform and Its Applications for Electrical Circuits [ M ]. Wuhan, China: Huazhong University Press, 1985.
  • 9Ravi Kanth A S V, Aruna K. Differential transform method for solving the linear and nonlinear Klein- Gordon equation [ J ]. Computer Physics Communication, 2009, 180 ( 5 ) : 708-711.
  • 10Chen C K, Ho S H. Solving partial differential equations by two-dimensional differential trans- form method[J]. Applied Mathematics Computation, 1999, 106 (2/3) : 171-179.

共引文献12

Applied Mathematics and Mechanics(English Edition)
2016年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部