Ashyralyev, A.; Agirseven, D.; Agarwal, R. P. Stability estimates for delay parabolic differential and difference equations. (English) Zbl 1473.35617 Appl. Comput. Math. 19, No. 2, 175-204 (2020). MSC: 35R10 35K20 65M06 PDF BibTeX XML Cite \textit{A. Ashyralyev} et al., Appl. Comput. Math. 19, No. 2, 175--204 (2020; Zbl 1473.35617) Full Text: Link OpenURL
Ashyralyev, Allaberen; Emharab, Fathi Source identification problems for hyperbolic differential and difference equations. (English) Zbl 1429.65117 J. Inverse Ill-Posed Probl. 27, No. 3, 301-315 (2019). MSC: 65J22 35R30 35B30 35L20 35L90 PDF BibTeX XML Cite \textit{A. Ashyralyev} and \textit{F. Emharab}, J. Inverse Ill-Posed Probl. 27, No. 3, 301--315 (2019; Zbl 1429.65117) Full Text: DOI OpenURL
Ashyralyev, Allaberen; Sarsenbi, Abdizhahan M. Well-posedness of an elliptic equation with involution. (English) Zbl 1335.35029 Electron. J. Differ. Equ. 2015, Paper No. 284, 8 p. (2015). Reviewer: Christos Sourdis (Torino) MSC: 35J15 35R10 35B35 PDF BibTeX XML Cite \textit{A. Ashyralyev} and \textit{A. M. Sarsenbi}, Electron. J. Differ. Equ. 2015, Paper No. 284, 8 p. (2015; Zbl 1335.35029) Full Text: EMIS OpenURL
Ashyralyev, Allaberen; Agirseven, Deniz Difference schemes for delay parabolic equations with periodic boundary conditions. (English) Zbl 1359.65145 Dimov, Ivan (ed.) et al., Finite difference methods, theory and applications. 6th international conference, FDM 2014, Lozenetz, Bulgaria, June 18–23, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-20238-9/pbk; 978-3-319-20239-6/ebook). Lecture Notes in Computer Science 9045, 145-152 (2015). MSC: 65M06 35K20 35R10 PDF BibTeX XML Cite \textit{A. Ashyralyev} and \textit{D. Agirseven}, Lect. Notes Comput. Sci. 9045, 145--152 (2015; Zbl 1359.65145) Full Text: DOI OpenURL
Ashyralyev, Allaberen; Cakir, Zafer \(r\)-modified Crank-Nicolson difference scheme for fractional parabolic PDE. (\(r\)-modified Crank-Nicholson difference scheme for fractional parabolic PDE.) (English) Zbl 1308.65137 Bound. Value Probl. 2014, Paper No. 76, 12 p. (2014). MSC: 65M06 35R11 35K20 65M12 PDF BibTeX XML Cite \textit{A. Ashyralyev} and \textit{Z. Cakir}, Bound. Value Probl. 2014, Paper No. 76, 12 p. (2014; Zbl 1308.65137) Full Text: DOI OpenURL
Ashyralyev, Allaberen; Koksal, Mehmet Emir; Agarwal, Ravi P. An operator-difference scheme for abstract Cauchy problems. (English) Zbl 1219.65087 Comput. Math. Appl. 61, No. 7, 1855-1872 (2011). MSC: 65M06 34G10 35L90 65M12 PDF BibTeX XML Cite \textit{A. Ashyralyev} et al., Comput. Math. Appl. 61, No. 7, 1855--1872 (2011; Zbl 1219.65087) Full Text: DOI OpenURL
Ashyralyev, Allaberen; Dal, Fadime; Pınar, Zehra A note on the fractional hyperbolic differential and difference equations. (English) Zbl 1221.65212 Appl. Math. Comput. 217, No. 9, 4654-4664 (2011). Reviewer: Petr Sváček (Praha) MSC: 65M06 65M12 35L10 35R11 PDF BibTeX XML Cite \textit{A. Ashyralyev} et al., Appl. Math. Comput. 217, No. 9, 4654--4664 (2011; Zbl 1221.65212) Full Text: DOI OpenURL
Ashyralyev, Allaberen; Yildirim, Ozgur On multipoint nonlocal boundary value problems for hyperbolic differential and difference equations. (English) Zbl 1201.65128 Taiwanese J. Math. 14, No. 1, 165-194 (2010). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65L10 65M12 35L10 47D09 34B10 34G10 39A12 35L20 35L90 PDF BibTeX XML Cite \textit{A. Ashyralyev} and \textit{O. Yildirim}, Taiwanese J. Math. 14, No. 1, 165--194 (2010; Zbl 1201.65128) Full Text: DOI OpenURL
Ashyralyev, Allaberen Well-posedness of the modified Crank-Nicolson difference schemes in Bochner spaces. (English) Zbl 1127.65058 Discrete Contin. Dyn. Syst., Ser. B 7, No. 1, 29-51 (2007). Reviewer: Michael Jung (Dresden) MSC: 65M06 34G10 65J10 35K15 PDF BibTeX XML Cite \textit{A. Ashyralyev}, Discrete Contin. Dyn. Syst., Ser. B 7, No. 1, 29--51 (2007; Zbl 1127.65058) Full Text: DOI OpenURL
Ashyralyev, A.; Yurtsever, H. A. The stability of difference schemes of second-order of accuracy for hyperbolic-parabolic equations. (English) Zbl 1137.65054 Comput. Math. Appl. 52, No. 3-4, 259-268 (2006). MSC: 65M12 65M06 35M20 65J10 34G10 35K15 35L15 PDF BibTeX XML Cite \textit{A. Ashyralyev} and \textit{H. A. Yurtsever}, Comput. Math. Appl. 52, No. 3--4, 259--268 (2006; Zbl 1137.65054) Full Text: DOI OpenURL
Ashyralyev, A.; Yurtsever, H. A. A note on the second order of accuracy difference schemes for hyperbolic–parabolic equations. (English) Zbl 1074.65100 Appl. Math. Comput. 165, No. 3, 517-537 (2005). Reviewer: Leonid B. Chubarov (Novosibirsk) MSC: 65M06 65M12 35M10 34G10 65J10 65M15 PDF BibTeX XML Cite \textit{A. Ashyralyev} and \textit{H. A. Yurtsever}, Appl. Math. Comput. 165, No. 3, 517--537 (2005; Zbl 1074.65100) Full Text: DOI OpenURL
Ashyralyev, Allaberen; Sobolevskii, Pavel E. New difference schemes for partial differential equations. (English) Zbl 1060.65055 Operator Theory: Advances and Applications 148. Basel: Birkhäuser (ISBN 3-7643-7054-8/hbk). ix, 443 p. (2004). Reviewer: Evgenij D’yakonov (Moskva) MSC: 65J10 65-02 65M06 65N06 34G10 35K15 35L15 35J25 65M15 65N15 PDF BibTeX XML Cite \textit{A. Ashyralyev} and \textit{P. E. Sobolevskii}, New difference schemes for partial differential equations. Basel: Birkhäuser (2004; Zbl 1060.65055) OpenURL
Ashyralyev, A.; Sobolevskii, P. E. A note on the difference schemes for hyperbolic equations. (English) Zbl 1007.65064 Abstr. Appl. Anal. 6, No. 2, 63-70 (2001). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65M12 65M06 35L15 34G10 65J10 PDF BibTeX XML Cite \textit{A. Ashyralyev} and \textit{P. E. Sobolevskii}, Abstr. Appl. Anal. 6, No. 2, 63--70 (2001; Zbl 1007.65064) Full Text: DOI EuDML OpenURL
Ashyralyev, A.; Fattorini, H. O. On uniform difference schemes for second-order singular perturbation problems in Banach spaces. (English) Zbl 0745.65037 SIAM J. Math. Anal. 23, No. 1, 29-54 (1992). Reviewer: E.Lanckau (Chemnitz) MSC: 65J10 65L12 65N06 34G10 65M06 34E15 35B25 PDF BibTeX XML Cite \textit{A. Ashyralyev} and \textit{H. O. Fattorini}, SIAM J. Math. Anal. 23, No. 1, 29--54 (1992; Zbl 0745.65037) Full Text: DOI OpenURL