On Stability of Spline Difference Scheme for Reaction–diffusion Time–dependent Singularly Perturbed Problem
نویسندگان
چکیده
The singularly perturbed parabolic boundary value problem is considered. Difference scheme is obtained by using cubic spline difference scheme on Shishkin’s mesh in space and classical discretization on uniform mesh in time. To obtain better stability and simpler matrix the fitting factor in polynomial form is used. The uniform convergence is achieved. Numerical results are presented. AMS Mathematics Subject Classification (2000): 65L10, 65L12
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