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Prof. Charyyar Ashyralyyev

Bahçeşehir University, Faculty of Engineering and Natural Sciences

Mathematics Department

JOURNAL

  1. C.Ashyralyyev, A. Dural and Y Sozen. Difference Method for the Reverse Parabolic Problem. Abstract and Applied Analysis, Volume 2012, Article ID 294154, 1-17, 2012
  2. C.Ashyralyyev , O. Demirdag. The Difference Problem of Obtaining the Parameter of a Parabolic Equation. Abstract and Applied Analysis, Volume 2012, Article ID 603018, 1-14, 2012
  3. C.Ashyralyyev, M.Dedeturk, Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination, Abstract and Applied Analysis, Volume 2013, Article ID 548017, 1-11, 2013.
  4. C.Ashyralyyev, M.Dedeturk, A finite difference method for the inverse elliptic problem with the Dirichlet condition, Contemporary Analysis and Applied Mathematics, Vol.1, No.2, 132-155, 2013 .
  5. A.Ashyralyev, C. Ashyralyyev, On the problem of determining the parameter of an elliptic equation in a Banach space, Nonlinear Analysis: Modelling and Control, Vol. 19. no 3, 350-366, 2014.
  6. C.Ashyralyyev, High order of accuracy difference schemes for the inverse elliptic problem with Dirichlet condition, Boundary Value Problems, 2014:5, 1-23, 2014.
  7. C.Ashyralyyev, High Order Approximation of the Inverse Elliptic Problem with Dirichlet-Neumann Conditions, Filomat 28:5, 947–962, 2014 .
  8. C.Ashyralyyev, M. Dedeturk, Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination, Boundary Value Problems, 2015:51, 1-15, 2015.
  9. C.Ashyralyyev, Y.Akkan, Numerical solution to inverse elliptic problem with Neumann type overdetermination and mixed boundary conditions, Electronic Journal of Differential Equations, Vol. 2015, No. 188, 1-15, 2015.
  10. C.Ashyralyyev, B.Öztürk, Some approximations of second order derivatives complex-valued functions. Bulletin of the Karaganda University-Mathematics, 91(3), 17-23, 2018.
  11. C.Ashyralyyev, A fourth order approximation of the Neumann type overdetermined elliptic problem, Filomat, 31(4), 967–980, 2017.
  12. C.Ashyralyyev G.Akyüz, M. Dedeturk, Approximate solution for an inverse problem of multidimensional elliptic equation with multipoint nonlocal and Neumann boundary conditions, Electronic Journal of Differential Equations, Vol. 2017, No. 197, 1-16, 2017.
  13. C.Ashyralyyev, Stability Estimates for Solution of Neumann Type Overdetermined Elliptic Problem, Numerical Functional Analysis and Optimization, 38(10), 1226–1243, 2017.
  14. C.Ashyralyyev, Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP, Boundary Value Problems, 2017:74, 2017, 1-22
  15. C.Ashyralyyev, G.Akyüz, Finite Difference Method for Bitsadze-Samarskii Type Overdetermined Elliptic Problem with Dirichlet Conditions, Filomat, 32(3), 859–872, 2018.
  16. C.Ashyralyyev, Well-posedness of boundary value problems for reverse parabolic equation with integral condition. e-Journal of Analysis and Applied Mathematics, 2018(1), 11-20, doi:1.2478/ejaam-2018-02, 2018.
  17. C.Ashyralyyev, S.Efe, Second order approximation two dimensional potential and singular integrals, e-Journal of Analysis and Applied Mathematics, 2019(1), 68-83, doi:1.2478/ejaam-2019-0005, 2019.
  18. C.Ashyralyyev, A.Cay, Numerical solution to elliptic inverse problem with Neumann-type integral condition and overdetermination, Bulletin of the Karaganda University-Mathematics, 99(3), 7-19, 2020.
  19. C.Ashyralyyev, Stability of Rothe difference scheme for the reverse parabolic problem with integral boundary condition, Mathematical Methods in Applied Sciences, 43, 5369–5379, 2020.
  20. C.Ashyralyyev, P.Akkan, Source identification problem with multi point nonlocal boundary condition for parabolic equation, Numerical Functional Analysis and Optimization, 41(16), 1913-1935, 2020.
  21. C.Ashyralyyev, The second order of accuracy difference scheme for reverse parabolic boundary value problem with integral condition, Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 46 (2), 346–359, 2020.
  22. A.Ashyralyev, C.Ashyralyyev, V.G. Zvyagin, A note on well-posedness of source identification elliptic problem in a Banach space, Bulletin of the Karaganda University-Mathematics, 99(3), 98-106, 2020
  23. C.Ashyralyyev, G.Akyüz, On fourth order accuracy stable difference scheme for a multi-point overdetermined elliptic problem, Bulletin of the Karaganda University-Mathematics, 102(2), 45-53, 2021.
  24. A.Ashyralyev, A. Al Hammourı, C. Ashyralyyev, On the absolute stable difference scheme for the space wise dependent source identification problem for elliptic telegraph equation, Numerical Methods for Partial Differential Equations, 37(2), 962-986, 2021.
  25. C.Ashyralyyev, A.Gönenç, Crank-Nicolson difference scheme for reverse parabolıc nonlocal problem wıth integral and Neumann boundary conditions, International Journal of Applied Mathematics, 34(2), 273-282, 2021.
  26. A.Ashyralyev, C. Ashyralyyev, On the stability of parabolic differential and difference equations with time-nonlocal condition, Computational Mathematics and Mathematical Physicsi, 62(6), 994–1006, 2022
  27. C. Ashyralyyev, On the second order of accuracy stable difference scheme for integral type non-local elliptic source identification problem, Computational and Applied Mathematics, 41:179, 2022.
  28. C. Ashyralyyev, On the stable difference scheme for source identification nonlocal elliptic problem, Mathematical Methods in Applied Sciences, doi: 10.1002/mma.8656, 2022.

CONFERENCE PAPER

  1. C. Ashyralyev, Numerical algorithm of solution of the multidimensional singular integral equations, 4th International Colloquium on differential equations, Plovdiv, Bulgaria, 1994.
  2. C. Ashyralyev, Numerical algorithm of the calculation of the problem of stream fluid with minimal resistance, International Workshop on New computer technologies in control systems, Peleslavl-Zalesski, Russia, 1994.
  3. C. Ashyralyev, Iteration algorithm of numerical solution of the multidimensional singular integral equations. International conference “Problems of mathematics and economical models of Turkmenistan”, Ashgabat, Turkmenistan, 1995.
  4. C. Ashyralyev, S.Anyyeva, Numerical Algorithm for solving of mixed problem of quasilinear elliptic system of equations. 1st Int. Turkish World Mathematics Symposium, Elazig, Turkey, 1999.
  5. C. Ashyralyev, Numerical algorithm for approximately solving of fiterion problem in the lower permeable collectors. International Conference “Achievement and Development of Mathematics in Framework of program «Kazakhstan in third millenium»”, Almaty, Kazakhstan, October 26-28, 2000.
  6. C. Ashyralyev, Numerical Solution of the Two-Dimensional Singular Integral Equation, XIII International Mathematics Simpozium, Turkey, Istanbul, 2000.
  7. C. Ashyralyyev, Numerical Algorithm for Solving two dimentional Singular Integral Equation in the complex plane, Internatıonal Conference on Applıed Analysıs and Algebra (ICAAA2011). 29-30 June and 1-2 July 2011, Istanbul, Turkey.
  8. C. Ashyralyyev, A.Dural, Y. Sozen, Finite Difference Method for The Reverse Parabolic Problem with Neumann Condition, AIP Conference Proceedings, Vol. 1470, 102-105, 2012 .
  9. C.Ashyralyyev, Z. Cakir, Approximate solution of the two-dimensional singular integral equation, AIP Conference Proceedings, Vol. 1611, 73-77, 2014.
  10. C.Ashyralyyev, M. Dedeturk, Approximation of the inverse elliptic problem with mixed boundary value conditions, AIP Conference Proceedings, Vol. 1611, 25-29, 2014.
  11. C.Ashyralyyev, Inverse Neumann problem for an equation of elliptic type, AIP Conference Proceedings, Vol. 1611, 46-52, 2014.
  12. C.Ashyralyyev, Well-posedness of a fourth order of accuracy difference scheme for the Neumann type overdetermined elliptic problem, In: AIP Conference Proceedings, Vol.1676, 020007, 1-6, 2015 .
  13. C.Ashyralyyev, G.Akyüz, Stability estimates for solution of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions, In: AIP Conference Proceedings,Vol.1759, 020129, 2016.
  14. C.Ashyralyyev, M.Dedeturk, A third order of accuracy difference scheme for Dirichlet type overdermined problem with mixed boundary value conditions, In: AIP Conference Proceedings,Vol.1759, 020042, 2016.
  15. C.Ashyralyyev, G.Akyüz, A third order of accuracy difference scheme for Bitsadze-Samarskii type elliptic overdetermined multi-point problem. In: AIP Conference Proceedings,Vol.1997, 020003 (2018)
  16. C.Ashyralyyev, A.Çay, Well-posedness of Neumann-type elliptic overdetermined problem with integral condition. In: AIP Conference Proceedings,Vol.1997, 020020 2018.
  17. C.Ashyralyyev, B.Öztürk, Finite difference approximations of first order derivatives of complex-valued functions. In: AIP Conference Proceedings,Vol.1997, 020054 2018.
  18. C.Ashyralyyev, S. Karabey, Numerical Solution of Neumann Type Elliptic Overdetermined Multipoint Mixed Boundary Value Problem, AIP Conference Proceedings, Vol.2183, 070021 2019.
  19. A.Ashyralyev, C.Ashyralyyev, Well-posedness of source identification problem for the elliptic equation in a Banach space, International Conference of Mathematical Sciences (ICMS 2019), 04 September - 08 September 2019, Maltepe University, Istanbul, Turkey.
  20. C.Ashyralyyev, Gulzipa Akyuz, Mutlu Dedeturk, Numerical solution of inverse problem for multidimensional elliptic equation with multipoint nonlocal and Neumann boundary conditions, International Conference on Mathematics and Mathematics Education (ICMME - 2017), Harran University, Şanlıurfa, 11-13 May 2017.
  21. C.Ashyralyyev, G.Akyüz, Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem, AIP Conference Proceedings, Vol.2334 060011 2021.
  22. C.Ashyralyyev, On stable difference scheme for identification elliptic problem with integral and second kind boundary condition, AIP Conference Proceedings, Vol.2334 060010 2021.
  23. C.Ashyralyyev, A.Gönenç, Numerical solution of the nonlocal reverse parabolic problem with second kind boundary and integral conditions, AIP Conference Proceedings, Vol.2325, 020005 2021.
  24. A.Ashyralyev, C.Ashyralyyev, A.Erdogan, A. Lukashov, M.Sadybekov, Preface: Fifth International Conference on Analysis and Applied Mathematics (ICAAM 2020) AIP Conference Proceedings, Vol.2325, 010001 2021.
  25. A.Ashyralyev, C.Ashyralyyev, V.G. Zvyagin, On well-posedness of source identification elliptic problem with nonlocal boundary conditions, AIP Conference Proceedings, Vol.2325, 020021 2021.
  26. C.Ashyralyyev, G.Akyüz, Numerical soluton of the fourth order accuracy difference scheme for multi point overdetermined boundary value problem for elliptic equation, International Online Conference on Engineering and Natural Sciences (IOCENS21),07 July 2021, Gumushane, Turkey.
  27. Ashyralyev, C.Ashyralyyev, On the differential and difference Basset problems, International Online Conference on Engineering and Natural Sciences (IOCENS21),06 July 2021, Gumushane, Turkey.
  28. C.Ashyralyyev, Source identification problem for parabolic equation with nonlocal and second kind boundary conditions, Scientific Conference Science, technology and development of innovative technologies» dedicated to the 30th anniversary of Independence of Turkmenistan , 13 June 2021, Ashgabat, Turkmenistan.
  29. Ashyralyev, C.Ashyralyyev, Highly accurate difference schemes for the integral type time-nonlocal problems for the parabolic equation, International Scientific and Practical Conference "Problems of Modern Fundamental and Applied Mathematics" , 04 June 2021, Almaty, Kazakhstan .
  30. C.Ashyralyyev, On numerical solution of inverse elliptic problem with non-local integral condition, International Conference "Mathematical Modeling, Inverse Problems and Big Data", 18-23 July 2021, Yakutsk, Russian Federation.
  31. C.Ashyralyyev, Note on the second order of accuracy difference scheme for source identification elliptic problem wih integral condition, International Conference «Modern Problems of Applied Mathematics and Information Technology al-Khwarizmi 2021» 15-17 November, 2021, Uzbekistan,Tashkent, Fergana.
  32. A.Ashyralyev, H. Al-Hazaimeh, C.Ashyralyyev, An approximation to the solution of the solution of the two dimensional source identification telegraph problem with Dirichlet condition, 6th International Conference of Mathematical Sciences (ICMS 2022) 20-24 July 2022, Maltepe University, Istanbul, Turkey.
  33. C.Ashyralyyev, Numerical solution of Neumann-type elliptic SIP with non-local integral and mixed boundary conditions, 6th International Conference of Mathematical Sciences (ICMS 2022) 20-24 July 2022, Maltepe University, Istanbul, Turkey.
  34. A.Ashyralyev, C.Ashyralyyev, The second order of accuracy difference schemes for integral type time-nonlocal parabolic problems, The 9th International Conference on Differential and Functional Differential Equations Moscow, Russia, June 28 – July 5, 2022.

BOOK

  1. C.Ashyralyyev, Numerical algorithms of the solution for singular integral equations and their applications in hydrodynamics, Ylym, Ashgabat, 1994 (in Russian).
  2. C.Ashyralyyev, Computer technology,TDKP, Ashgabat, 2007 (in Turkmen).
  3. C.Ashyralyyev, B.Atajanov. Computer science and information technologies for 9th class of secondary school, TDNG, Ashgabat, 2008 (in Turkmen)
  4. C.Ashyralyyev. Computer technologies, TDNG, Ashgabat, 2008 (in Turkmen).
  5. C.Ashyralyyev, M.Churiyev, S.Halbayev. English-Turkmen Dictionary of Computer Terms, TAU, Ashgabat, 2010.
  6. C.Ashyralyyev, S.Soltanov. Computerized Data Analyses, TAU,Ashgabat, 2011 (in Turkmen).
  7. C.Ashyralyyev, S.Soltanov, G.Annakova. Programming Technologies, TAU, Ashgabat, 2012 (in Turkmen).
  8. C.Ashyralyyev, Y.Akkan, Z.Çakır, A.Gokdogan, Solved problems for partial differential equations, Gümüshane Üniversitesi yayınları, 2014 (in Turkish).
  9. Edited by C.Ashyralyyev, Z.Cakir, D. Agirseven, 2014. ABSTRACT Books of ICAAM 2014, M. Auezov South Kazakhstan State University Shymkent, Kazakhstan.
  10. Edited by C.Ashyralyyev and E.Hincal, 2018. ABSTRACT Books of ICAAM 2018, Near East University, Nicosia (Lefkoşa), KKTC
  11. Edited by C.Ashyralyyev and E.Hincal, 2020. ABSTRACT Books of ICAAM 2020, Near East University, Nicosia (Lefkoşa), KKTC
  12. C.Ashyralyyev, Identification elliptic problem with Dirichlet and integral conditions, Chapter in Book, in Springer Proceedings in Mathematics & Statistics, v. 351, Functional Analysis in Interdisciplinary Applications—II, 63-73, 2021
  13. Edited by A.Ashyralyev, C.Ashyralyyev, A.S.Erdogan, A. Lukashov, M. Sadybekov, 2021. “Fifth International Conference on Analysis and Applied Mathematics” (ICAAM 2020). AIP Conference Proceedings, Vol. 2325.
  14. Edited by H. Cakalli, LDR Kocinac, A. Ashyralyev, R. Harte, M. Dik, I.Canak, HS Kandemir, M. Tez, O. Gurtug, E.Savas, KU Akay, FC Ucgun, S. Uyaver, C. Ashyralyyev, SA Sezer, AD Turkoglu, OR Onvural, H: Sahin, 2021. Fourth International Conference of Mathematical Sciences (ICMS 2020) , AIP Conference Proceedings, Vol. 2334.