A new method for recovering high-order mixed derivatives of bivariate functions

Authors

  • Yevgeniya Semenova Candidate of Physical and Mathematical Sciences, Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereschenkivska Str., 01024, Kiev
  • Serhii G. Solodky Doctor of Physical and Mathematical Sciences, Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereschenkivska Str., 01024, Kiev

Keywords:

Numerical differentiation, Legendre polynomials, truncation method

Abstract

The problem of numerical recovering high-ordermixed derivatives of bivariate functions with finite smoothness is studied. On the basis of the truncation method, an algorithm for numerical differentiation is constructed, which guarantees a high order of approximation accuracy.

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Published

2023-06-13

How to Cite

Semenova, Y., & Solodky, S. G. (2023). A new method for recovering high-order mixed derivatives of bivariate functions. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (36), 17–21. Retrieved from https://www.fmmit.lviv.ua/index.php/fmmit/article/view/268

Issue

No. 36 (2023): ФІЗИКО-МАТЕМАТИЧНЕ МОДЕЛЮВАННЯ ТА ІНФОРМАЦІЙНІ ТЕХНОЛОГІЇ

Section

Articles