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Constructional Method for a Non-local Boundary and Initial Problem Raised from a Free Boundary Model of Cancer

Jiang Zhou, Heng Li,Yongzhi Xu

Trends in mathematics（2023）

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Abstract
In this paper we investigate a parabolic partial differential equation with non-local boundary condition motivated by ductal carcinoma in situ (DCIS) model. Approximation solution of the present problem is implemented by Ritz-Galerkin method. Numerical experiment shows that the method is effective and accurate.
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Key words
free boundary model,cancer,initial problem,non-local
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