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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

On the numerical solution of the diffusion equation


Author: Øystein Tødenes
Journal: Math. Comp. 24 (1970), 621-627
MSC: Primary 65.68
MathSciNet review: 0275702
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Abstract: A proof given by C. E. Pearson $ [1]$ for the asymptotic convergence of the numerical solution of the diffusion equation is discussed, and found insufficient. A new, direct proof is given. A method given by Pearson, for improving the numerical solution when a discontinuity is present in the initial-boundary conditions, is considered in more detail.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1970-0275702-X
PII: S 0025-5718(1970)0275702-X
Keywords: Asymptotic convergence, stationary solution, singular boundary conditions
Article copyright: © Copyright 1970 American Mathematical Society