Article
MSC:
35B50,
35K20,
46E35,
65M12,
65M20,
65M40 | MR 2008889 | Zbl 1099.65079 | DOI: 10.1023/B:APOM.0000024481.01947.da
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Keywords:
Rothe’s method; method of lines; convergence of Rothe’s method
Rothe’s method; method of lines; convergence of Rothe’s method
Summary:
The convergence of Rothe’s method in Hölder spaces is discussed. The obtained results are based on uniform boundedness of Rothe’s approximate solutions in Hölder spaces recently achieved by the first author. The convergence and its rate are derived inside a parabolic cylinder assuming an additional compatibility conditions.
References:
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