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Author(s):
Y. Kondoh and Y. Hosaka
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Title:
Kernel Optimum Nearly-analytical Discretization (KOND) Method Applied to Parabolic Equations < <KOND-P Scheme > >
Date of publication:
Nov.1991
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Key words:
thought analysis, numerical scheme, KOND method, KOND-P scheme, parabolic type equation, KOND-H scheme, high accuracy, Taylor expansion, kernel optimum discretization
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Abstract:
A KOND-P scheme, which is the application of the Kernel Optimum Nearly-analytical Discretization ( KOND ) method for the construction of numerical schemes to the parabolic type partial differential equation, is presented. Typical numerical results are shown to clarify that the KOND-P scheme yields quite less numerical error than the conventional explicit scheme by 2 - 3 orders measured by the root mean square deviation from analytical solutions.
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