The Hermite Scheme for Semilinear Singular Perturbation Problems

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Abstract

A numerical method for singularly perturbed semilinear boundary value problems is given. The method uses the fourth order Hermite scheme on a special discretization mesh. Its stability and convergence are investigated in the discrete $L^1$ norm.  

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The Hermite Scheme for Semilinear Singular Perturbation Problems. (1993). Journal of Computational Mathematics, 11(2), 162-171. https://global-sci.com/index.php/JCM/article/view/11098