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Zainidin K. Eshkuvatov

Zainidin K. Eshkuvatov (Dr.)
BA (Math) (Tashkent State University, Tashkent Uzbekistan)
MSc. (Math) (Tashkent State University, Tashkent Uzbekistan)
Ph.D (National University of Uzbekistan, Tashkent Uzbekistan)

E-mail :  This e-mail address is being protected from spam bots, you need JavaScript enabled to view it
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Phone : 603-8946 6855
RESEARCH FRIENDSHIP LINKAssociate Professor Dr.
Mahmoud Selim SalehHead of Natural and Applied Science Department, Al-Aflaj Community College, King Saud University

http://faculty.ksu.edu.sa/MMSelim/

 

ACADEMIC QUALIFICATION

(Qualification),(Discipline),(Institution),(Year).

1.PhD in Physics and Mathematics, Computational Mathematics, National University of Uzbekistan. Tashkent, Uzbekistan. Received October 25, 2001, 01 No 006806.
.2.MSc degree, I entered the Faculty of Applied Mathematics and Mechanics of Tashkent State University in 1983 and graduated the University in 1988 and qualified as Mathematician, Teacher. PV № 827901, July 1, 1988, Tashkent, Uzbekistan.

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PROFESSIONAL QUALIFICATION
(Qualification),(Discipline),(Institution),(Year).

NAcademic institutionsDegreeCommence-ment date Date of end
1.    Institute of Mathematics of Academy of Sciences of Uzbekistan.PhD studentSeptember 1990 December 1993
2.    Institute of Mathematics of Academy of Sciences of Uzbekistan. Scientific researcherSeptember 1988 December 1990
3.    Department of Applied Mathematics and Mechanics, Tashkent State University.StudentSeptember 1983 July 1988.
AREAS OF EXPERTISE
(Main),(Sub),(Area).
Computational Mathematics, Applied Mathematics and Numerical analysis, Theory Approximations, Integrations, Regular and Singular Integral equations.
main research fields are:

1.    Quadrature and Cubature formulas for approximating one-dimensional and multiple-dimensional singular integrals with the kernel of Cauchy and Hilbert.

2.    Product Integrations and polynomial approximations

3.    The theory of approximation functions and spline interpolations

4.    Numerical Solution of Regular Integral Equation and Singular Integral Equation of Cauchy type

5.    Functional Integral Equations and Nonlinear Integral Equations  

PROFESSIONAL AFFILIATION
(Organisation),(Role),(From)-(Until).

1.Dept. of Mathematics, Faculty of Science, Universiti Putra Malaysia, Malaysia, Senior Lecturer, March 2008-Present
2.Dept. of Mathematics, Faculty of Science, Universiti Putra Malaysia, Malaysia, Lecturer, March 2004 to March 2008,
3.Dept. of «Informatics and Information technologies», University of World Economy and Diplomacy (UWED), Uzbekistan. Associate Professor, December 2002 to February 2004.
4.Dept. of «Informatics and Information technologies», UWED, Uzbekistan. Senior Lecturer, November 2000 to December 2002.
5.Dept. of «Mathematics modeling in economics and informatics», UWED, Uzbekistan. Lecturer, September 1996 to September 2000.
6.Institute of Mathematics of Academy of Sciences of Uzbekistan, Uzbekistan. Senior Researcher, December 1993 to September 1996.

 

PUBLICATIONS:

I. Submited Publication

1.             Z. K. Eshkuvatov, N.M.A. Nik, M. Abdulkawi. Approximating singular integral of Cauchy type with unbounded weight function on the edges. J. King Saud University, (2008) Vol.        pp.    (Accepted).

2.             Z. K. Eshkuvatov, N.M.A. Nik, M. Abdulkawi. Numerical evaluation for Cauchy type Singular Integrals on the interval. Journal of Computational and Applied Mathematics. (2008), (Under Review).

3.             M. Abdulkawi, Z.K. Eshkuvatov, N.M.A. Nik Long. Semi-Bounded Solutions of Singular Integral Equations of Cauchy type. International Journal of Contemporary Mathematical Science. 2009 (Under Review).

II. International Journal Publications

1.             N.M.A. Nik Long, Z.K. Eshkuvatov.  Hypersingular intergral equations for multiple curved cracks in plane elasticity, Int.J. Solids Structures, accepted (2009)

2.             M. Abdulkawi, Z. K. Eshkuvatov, N. M. A. Nik Long. A Note on the Numerical Solution of Singular Integral Equations of Cauchy type  Integral Equations of Cauchy type. International Journal of Applied Mathematics and Computer Sciences Vol 5: N2, 2009, pp. 90-93.

3.             N.M.A. Nik Long, Z. K. Eshkuvatov and H.S.Sapar. Reduction technique for n´n Complex Matrix Systems. International Mathematical Forum, Vol 4(8), 2009, 363-366.

4.             Z. K. Eshkuvatov, N.M.A. Nik, M. Abdulkawi. Approximate Solution of Singular Integral Equations of the First Kind with Cauchy Kernel. Journal of Applied Mathematics Letter. Accepted 26/08/2008. doi:10.1016/j.aml.2008.08.001 

5.             N.M.A. Nik Long,Z.K. Eshkuvatov, M. Yaghobifar, M. Hasan. Numerical Solution of Infinite boundary Integral Equation by using Galerkin method with Laguerre polynomials.  International journal of Computational and Mathematical Sciences, Vol 3; N1, www.waset.org , Winter 2009, pp. 21-24.

6.             Z. K. Eshkuvatov, N.M.A. Nik Long. A Quadrature formula for the approximation of Cauchy type singular integrals on the interval. International Journal of Mathematical analysis, (2007), Vol 1(8), pp. 355-368

7.             Eshkuvatov Z.K. Modification of quadrature formulas of Belotserkovskiy for weight singular integrals. Uzb. Math. Journal. (1998). No 5, pp. 91-100. (In Russian)

8.             Israilov M.I., Eshkuvatov Z.K. On a modification of discrete vortex method for approximate evaluation of weight singular integrals. Dokl. AN RUz, (1995). No 4, pp. 3-7. (In Russian)

9.             Israilov M.I., Eshkuvatov Z.K. On an accuracy of discrete vortex method for evaluation of singular integrals. (1994). Dokl. AN RUz, No 6, pp. 3-7. (In Russian)

10.         Eshkuvatov Z.K. Improvement of discrete vortex method for calculation singular integrals. Numerical experiments. (1994).Red. UzMJ, Tashkent, 1994, 16 p. Title.-Russian.-Dep. In GFNTI GKNT RUz. 14.03.94, N2034-Uz94.  (In Russian)

11.         Eshkuvatov Z.K. Precising the remainder term of discrete vortex method. (1993). Dep. in VINITI, N 1637-B93, 18 p. (In Russian)

III. Local Journal Publications

1.             N.M.A. Nik Long and Z. K. Eshkuvatov. Singular Integral Equation for Curved Cracks. Digest Research Bulletin of Institute for Mathematical research. (2008), Vol. 1, N2, pp. 40-42. ISSN: 1985-2436. Malaysia

2.             Z. K. Eshkuvatov, N.M.A. Nik Long.. Numerical evaluation for Cauchy type singular integrals using modification of discrete vortex method and spline approximation. Malaysian Journal of Mathematical Sciences. (2007), Vol. 1(1), pp. 123-139. Malaysia.

3.             Z.K. Eshkuvatov, N.M.A. Nik Long. Numerical solution of Singular Integral on closed smooth contour. Science Putra. (2007). Vol. 15(1), pp. 27-32. Malaysia.

4.             N.M.A. Nik Long, Z. K. Eshkuvatov. Stress Distribution around a Flat-Ended Cylindrical punch. Science Putra. (2005). Vol. 13, No 2, pp. 28-30. Malaysia

IV. International Conference Publications

1.             N.M.A. Nik Long,Z.K. Eshkuvatov, M. Yaghobifar, M. Hasan. Numerical Solution of Infinite boundary Integral Equation by using Galerkin method with Laguerre polynomials. (2008), PWASET. Vol. 30, pp. 951-955. ISSN 1307-6884. Paris, France.

2.             M. Abdulkawi, Z.K. Eshkuvatov, N.M.A. Nik Long. Bounded and unbounded approximate solutions of Cauchy type singular integral equations of the first kind. Proceedings of iCAST 2008,  pp. 144-147,  UIIM, Malaysia.

3.             A.A. Ahmedov, Z.K. Eshkuvatov. On the summability almost everywhere of the Forier_Laplas series at the critical index. Proceedings of iCAST-08,  pp. 54-56,  UIIM, Malaysia.

4.             M. Abdulkawi, Z.K. Eshkuvatov, N.M.A. Nik Long. Numerical Treatment For the Solution of Cauchy type Singular Integral Equations. Proceedings of International Conference on Research and Education in Mathematics. (ICREM-3), (2007). Vol 2. pp. 255-266. University Putra Malaysia

5.             Z.K. Eshkuvatov, N.M.A. Nik Long. Numerical treatment for singular integral equations using modification of discrete vortex method.  Proceedings of International Conference on Research and Education in Mathematics (ICREM-2, CD Disk), (2005), pp.255-266. University Putra Malaysia.

6.             N.M.A. Nik Long, Z.K.Eshkuvatov. Normal Stress Around a Flat-ended Cylindrical Punch. Proceedings of International Conference on Research and Education in Mathematics (ICREM-2, CD Disk), 2005, pp.407-414. University Putra Malaysia.

7.             Eshkuvatov Z.K., Israilov S.M., Ermatov E. On a modification of method of discrete vortex for calculation of multiple singular integrals. Proceedings of international conference on research and education in mathematics (ICREM 2), (2004), pp. 70-76. University Putra Malaysia, Malaysia.

8.             Israilov S.M., Eshkuvatov Z.K., Ermatov E. Construction of quadrature formulas, by the use of Ryabenskiy splines for singular integrals. Proceedings of International Conference on Research and Education in Mathematics (ICREM-2), 2004, pp. 77-81. University Putra Malaysia.

9.             Israilov M.I., Eshkuvatov Z.K. On a cubature formula for two-fold singular integrals with the Cauchy kernel. "Proceedings of International Conference on Mathematics and Its Applications in The New Millennium", (2001), pp. 72-79. University Putra Malaysia 

10.         Shodimetov H. Eshkuvatov Z.K. (2001). On a cubature formula for singular integrals with the Cauchy kernel. “Congress of Mathematics of Ukraine”. 2001, pp. 54-55, Kiev, Ukraine. (In Russian)