An Iterative Method Based on Equation Decomposition for the Fourth-order Singular Perturbation Problem
نویسندگان
چکیده
In this paper, we propose an iterative method based on the equation decomposition technique[11] for the numerical solution of a singular perturbation problem of fourth-order elliptic equation. At each step of the given method, we only need to solve a boundary value problem of second-order elliptic equation and a second-order singular perturbation problem. We prove that our approximate solution converges to the exact solution when the domain is a disc. Our numerical examples show the efficiency and accuracy of our method. Our iterative method works very well for singular perturbation problems, i.e. the case of 0 < ε ≪ 1, and the convergence rate is very fast.
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