Generalized Correction Algorithm for the Finite-Difference Diffusion Equations in Askew–Takeda Method


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This paper describes a correction algorithm for the finite-difference diffusion equation which increases the coarse mesh accuracy. The equations are transformed to the form of the well-known discretization method for the Askew diffusion equation (Askew’s coarse mesh method). However, the new expressions obtained for the correction coefficients provide a higher accuracy of the finite-difference approximation.

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V. Artyomov

Alexandrov Research Institute of Technology

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Email: otd10@mail.ru
俄罗斯联邦, Sosnovyi Bor, Leningrad oblast, 188540

R. Zinatullin

Alexandrov Research Institute of Technology

Email: otd10@mail.ru
俄罗斯联邦, Sosnovyi Bor, Leningrad oblast, 188540

Yu. Shemaev

Alexandrov Research Institute of Technology

Email: otd10@mail.ru
俄罗斯联邦, Sosnovyi Bor, Leningrad oblast, 188540

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