Finite Difference Method for the Parabolic Problem with Delta Function
نویسنده
چکیده
We investigate the convergence of difference schemes for the one-dimensional heat equation with the coefficient of the time derivative containing a Dirac delta distribution. An abstract operator method is applied for analyzing this equation. The convergence rate estimate of the order O(h) in a special discrete W̃ 2,1 2 Sobolev norm, compatible with the smoothness of the solution, is obtained. 2010 Mathematics Subject Classification: 65M12.
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