A Uniformly Accurate Collocation Method for a Singularly Perturbed Problem
نویسندگان
چکیده
A semilinear singularly perturbed reaction-diffusion problem is considered and the approximate solution is given in the form of a quadratic polynomial spline. Using the collocation method on a simple piecewise equidistant mesh, an approximation almost second order uniformly accurate in small parameter is obtained. Numerical results are presented in support of this result. AMS Mathematics Subject Classification (2000): 34E15, 65L10, 65L12, 65L50
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