Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838751 | Nonlinear Analysis: Real World Applications | 2008 | 10 Pages |
Abstract
This paper deals with the heat equation in which the source term involves a Dirac function and describes the elastic reaction of the immersed boundary. We analyze the existence of the approximate solution in two-dimensional case with Dirac function approximated by differentiable function. We obtain the result via finite element method, the Banach Fixed-Point Theorem and a theorem in nonlinear ordinary differential equations in abstract space.
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Authors
Ling Rao, Hongquan Chen,