## On the convergence of difference schemes for parabolic problems with concentrated data

- B. S. Jovanović, L. G. Vulkov
- Intern. J. Numer. Anal. Model. 5, No 3
- 2008

- Published 2010

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… CONTINUE READING

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