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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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Keywords: Asymptotic convergence, stationary solution, singular boundary conditions
Article copyright: © Copyright 1970 American Mathematical Society