Similar Structure Algorithm for Solving Boundary Value Problem of Differential Equations

Abstract:

Based on the similar structure theory, we conduct rigorous mathematical derivation and proof for the boundary value problem of a class of differential equation . We put forward a new algorithm------Similar Structure Algorithm to solve such boundary value problems. The similar structure algorithm only includes arithmetic and logical operation, hence it can be oriented towards computer. According to the similar structure algorithm, an example is given to conduct a simulation experiment by the application of computer software at the end of the paper. And we also observe and analysis the variational laws of the laboratory result by changing the coefficient of the boundary condition.

• Periodical: Applied Mechanics and Materials (Volume 574)
• Pages: 665-671
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.574.665
• Online since: July 2014
• Authors: Li Xia Bai, Shun Chu Li, Dong Dong Gui, Cong Yin Fan, Xiao Xu Dong, Bin Zhou
• Keywords: Algorithm Design, Algorithm Flowchart, Computer Program, Similar Structure, Simulation

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