On the integration of non-linear parabolic equations by implicit difference methods

Rose, Milton E.

doi:10.1090/qam/85610

Author: Milton E. Rose
Journal: Quart. Appl. Math. 14 (1956), 237-248
MSC: Primary 65.3X
DOI: https://doi.org/10.1090/qam/85610
MathSciNet review: 85610
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Abstract: The object of this paper is to investigate how solutions of mixed initial-boundary value problems for a certain class of non-linear parabolic equations may be obtained by solving suitable implicit difference equations on a rectangular lattice and taking the limit of such solutions as the mesh of the lattice tends to zero.

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