A New Method and Applications of the Boundary Value Problem of Differential Equation-Reference-Cited by-同舟云学术

A New Method and Applications of the Boundary Value Problem of Differential Equation

Published:2014-05 Issue: Volume:937 Page:695-699
ISSN:1662-8985
Container-title:Advanced Materials Research
language:
Short-container-title:AMR

Author:

Li Hong E¹,Dong Xiao Xu¹,Li Shun Chu¹,Gui Dong Dong²,Fan Cong Yin¹

Affiliation:

1. Xihua University

2. Beijing Dongrunke Petroleum Technology Co., Ltd.

Abstract

The similar structure of solution for the boundary value problem of second order linear homogeneous differential equation has been studied. Based on the analysis of the relationship between similar structure of solution, its kernel function, the equation and boundary conditions, similar constructive method (shortened as SCM) of solution is obtained. According to the SCM, the similar structure of solution and its kernel function are constructed for the mathematical model of homogeneous reservoir which considers the influence of bottom-hole storage and skin effect under the infinite outer boundary condition. The SCM is a new and innovative way to solve boundary value problem of differential equation and seepage flow theory, which is especially used in Petroleum Engineering.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Link

https://www.scientific.net/AMR.937.695.pdf

Reference13 articles.

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2. Shun-Chu LI. The Similar Structure of Solution to the Boundary Value Problem for Second-order Linear Homogeneous Differential Equations (in Chinese) [J]. Journal of Xihua University (Natural Science Edition), 2009, 28(5): 40～41(to 90).

3. Ying CHI, Shun-Chu LI, Juan YAN. Similar Structure of Bessel Equation with Parameter on Boundary Value Problem (in Chinese) [J]. Journal of Dalian Jiaotong University, 2010, 31(5): 109-111.

4. Zong-Rong CHENG, Shun-Chu LI. The Similar Structure Method Solving the Boundary Value Problem of Bessel Equations (in Chinese)[J]. Journal of Sichuan Normal University (Natural Science), 2011, 34(6): 850-853.

5. Cong-Yin FAN, Shun-Chu LI, Dong-Xu XU. Similar Structure Method of Solution of a class of Thomson Equation Boundary Value Problem (in Chinese)[J]. Advances in Applied Mathematics, 2012, 1(2): 41-48.

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