Tensor Method to the Weak Solution of the Second-Order System of Ordinary Differential Equations with Boundary Value Problems (II)

Bing ZHANG, Wei DENG, Bo LIU, Hai-chun LI

Abstract


In this paper, a tensor method for variational approach is established based on Lax-Milgram theorem. Some new results are obtained for the existence of weak solution of ODE system with homogeneous boundary value problems. By seeking the approximate solutions using Matlab, it is proved that the proposed method is effective to the system of ODE with boundary value problems in practice.

Keywords


Tensor method, Boundary value problem, System of ODE, Lax-Milgram theorem, Weak solution, Tensor operator, Inverse operator.


DOI
10.12783/dtcse/mcsse2016/10927

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