A Semi-Analysis Method of Differential Equations With Variable Coefficients Under Complicated Boundary Conditions

LI Ming-an; WANG Zhong-min; GUO Zhi-yong]

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(2): 215-220

LI Ming-an, WANG Zhong-min, GUO Zhi-yong]. A Semi-Analysis Method of Differential Equations With Variable Coefficients Under Complicated Boundary Conditions[J]. Applied Mathematics and Mechanics, 2003, 24(2): 215-220.

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A Semi-Analysis Method of Differential Equations With Variable Coefficients Under Complicated Boundary Conditions

1.
Department of Engineering Mechanics, Xi'an University of Technology, Xi'an 710048, P. R. China;
2.
Department of Basic Course, Xi'an Institute of Technology, Xi'an 710054, P. R. China

Received Date: 2000-03-29
Rev Recd Date: 2002-05-31
Publish Date: 2003-02-15

Abstract

Abstract

Based on a method of finite element model and combined with matrix theory, a method for solving differential equations with variable coefficients is proposed. With that method, it is easy to deal with the differential equations with variable coefficients. On most occasions, due to the non-uniformity nature, non-linearity property can cause the kind equations. Using that model, the satisfactory valuable results with only a few units can be obtained.
- differential equation with variable coefficients,
- equivalent parameter,
- solution in the domain,
- solution of semi-analysis

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References

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