Correct solvability of the difference Pade schemes for parabolic equations in Holder spaces

• Date: 1992
• Main Authors: Ashyraliev, A., Ашыралыев, А.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8247
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study Padé difference scheme for the approximate solution of the Cauchy problem for parabolic equations generated by the Padé fractions $R_{j,l}$, of exponential approximation. We establish an estimate of the coerciveness of the difference schemes for $j=l-2, l-1$, or even $j=l$ in a smaller spac...