Numerical solution of singular perturbation problems for the fourth-order elliptic differential equations
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In this paper we construct the finite-difference scheme for the singularly perturbed boundary value problem for the fourth-order elliptic differential equation on the basis of paper , and prove the uniform convergence of this scheme with respect to the small parameter ε in the discrete energy norm. Finally, we give a numerical example.
Key wordselliptic singular perturbation energy norm numerical solution
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- Ladyzhenskaya, O. A,The Boundary Problems of Mathematical Physics, Springer-Verlag (1985).Google Scholar