Abstract
Based on a method of finite element model and combined with matrix theory, a method for solving differential equation with variable coefficients is proposed. With the method, it is easy to deal with the differential equations with variable coefficients. On most occasions and due to the nonuniformity nature, nonlinearity property can cause the equations of the kinds. Using the model, the satisfactory valuable results with only a few units can be obtained.
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Communicated by LIN Zong-chi
Biography: LI Ming-an (1954 −)
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Ming-an, L., Zhong-min, W. & Zhi-yong, G. A semi-analysis method of differential equations with variable coefficients under complicated boundary conditions. Appl Math Mech 24, 241–246 (2003). https://doi.org/10.1007/BF02437631
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DOI: https://doi.org/10.1007/BF02437631
Key words
- differential equation with variable coefficients
- equivalent parameter
- solution in the domain
- solution of semi-analysis