23 Ekim 2014, Perşembe

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CV

İbrahim KARATAY

Bölüm Adı:Matematik Bölümü
Ofis A-413
E-mail: ikaratay@fatih.edu.tr
Telefon:2091
Website: http://www.fatih.edu.tr/~ikaratay
YÖK CV Formatı

Eğitim

  • PhD, Yıldız Teknik Üniversitesi, Matematik-2004, İstanbul-Türkiye
  • MS, Fatih University/Fen Bilimleri Enstitüsü, Matematik-2000, İstanbul-Türkiye
  • BS, Ondokuz Mayıs Universitesi, Matematik-1996, Samsun

Tecrübe

  • Yrd. Doç. Fatih Üniversitesi, Oct. 2005
  • Lecturer Fatih Üniversitesi, Oct. 1999- Mar. 2005
  • Research Assistan Fatih University, Sep. 1997- Sep. 1999

İlgi Alanları

  • Numerical Solution of Differential Equations, Fractional Differential Equations. Numerical analysis, Stability, Convergence of Numerical Methods.

Seçkin Yayınlar

    (The Publications appears in SCI, SCI Exp.,SSCI and AHCI are shown with *)

    Akademik Yayınlar

    • * Karatay, I., Bayramoglu, S.R., "A characteristic difference scheme for time-fractional heat equations based on the Crank-Nicholson difference schemes ", Abstract and Applied Analysis, Vol. 2012, No. -, Aug. 2012, pp. 1-11
    • Karatay, I. , Bayramoglu, S.R., "An efficient difference scheme for time fractional advection dispersion equations ", Applied Mathematical Sciences, Vol. 6, No. 98, Mar. 2012, pp. 4869-4878
    • * Karatay, I., Bayramoǧlu, S.R., Şahin, A. , "Implicit difference approximation for the time fractional heat equation with the nonlocal condition ", Applied Numerical Mathematics, Vol. 61, No. 2011, Aug. 2011, pp. 1281-1288
    • Sahin, A., Karatay, I., "Diffusion in graded materials by decomposition method", Scientific Research and Essays, Vol. 6, No. 14, Jul. 2011, pp. 2988-2997
    • * Ibrahim Karatay, Şerife Rabia Bayramoglu, Bahattin Yildiz, Bulent Kokluce, "Matrix stability of the difference schemes for nonlocal boundary value problems for parabolic differential equations", International Journal of Physical Sciences, Vol. 6, No. 4, Feb. 2011, pp. 819-827
    • Karatay, I., Bayramoglu, Ş.R., Yildiz, B., Kokluce, B., "Matrix stability of the difference schemes for nonlocal boundary value problems for parabolic differential equations ", International Journal of Physical Sciences, Vol. 6, No. 4, Feb. 2011, pp. 819-827
    • Ashyralyev A. and Karatay I., "On the second order of accuracy difference schemes of the nonlocal boundary value problem for parabolic equations", Functional Differential Equations, Vol. 10 , No. 1&2 2003, Jan. 2011, pp. 45-63
    • * Ashyralyev A., Karatay I. and Sobolevskii P.E., "On well-posedness of the nonlocal boundary value problem for parabolic difference equations", Discrete Dynamics in Nature and Society, No. 2, Sep. 2004, pp. 273-286

    Proceedings

    • Nurdane KALE, İbrahim KARATAY, "A New Difference Scheme for Fractional Cable Equation and Stability Analysis", ICCESEN 2014, ANTALYA, TÜRKİYE, Oct. 2014, ICCESEN 2014,
    • Nurdane KALE, İbrahim KARATAY, "Numerical Solution of Fractional Diffusion Equation That Variable Coefficients", ICCESEN 2014, ANTALYA, TÜRKİYE, Oct. 2014,
    • Nurdane KALE , Ibrahim KARATAY, "Finite Difference Method of Fractional Parabolic Partial Differential Equations That Variable Coefficients", ICAAM 2014, Shymkent, Kazakhstan, Sep. 2014, ICAAM 2014,
    • İbrahim Karatay, Nurdane Kale, Şerife Rabia Bayramoğlu, "Stability and Convergence of A New Finite Difference Scheme for Fractional Partial Differential Equations by Matrix Method", IECMSA-2014, VİYANA, AVUSTURYA, Aug. 2014,
    • İbrahim Karatay, Nurdane Kale, Şerife Rabia Bayramoğlu, "Spectral Stability Analysis of A New Difference Scheme of Time Fractional Advection Dispersion Equations", Karatekin Mathematics Days 2014, ÇANKIRI, TÜRKİYE, Jun. 2014,
    • İbrahim KARATAY, Şerife Rabia BAYRAMOĞLU, "New Difference Schemes for Fractional Heat Equations", International Conference on Applied Analysis and Algebra, ICAAA11, İstanbul, TURKEY, Jun. 2011, Proceeding Book of ICAAA2011-Abstracts, pp. 320
    • İbrahim KARATAY, Hilal YILMAZ, "Crank-Nicholson Difference Scheme for the Time Fractional Heat Equations", International Conference on Applied Analysis and Algebra, ICAAA 2011, İstanbul, TURKEY, Jun. 2011, Proceeding Book of ICAAA2011-Abstracts, pp. 111
    • Ashyralyev A. and Karatay I., Modern problems of Functional Analysis and Differential Equations, Jun. 2003, On Difference Schemes of Approximate Solutions of the Nonlocal Boundary Problem for Parabolic Equations, pp. 22-23

    Kitaplar ve Kitap Bölümleri

    • Serife Rabia BAYRAMOGLU, Ibrahim KARATAY, "Finite Difference Schemes for Fractional Heat Equations for Nonlocal Boundary Value Problems", Lambert Academic Publishing
    • George B. Thomas, Maurice D. Weir, Joel R. Hass, "THOMAS' CALCULUS", Pearson

    Tez Danışmanlıkları
      MS/MA Tezleri/s

  • Zeynep Sultan KÖSE, "Methods for Solving Fractional Differential Equations", Fatih University, Jul. 2007
  • Serife Rabia BAYRAMOGLU, "Finite Difference Schemes For Nonlocal Boundary Value Problems For Fractional Heat Equaions", Fatih Universitesi, Jun. 2011
  • Hilal YILMAZ, "Higher Order Difference Approximations for the Numerical Solution of Fractional Heat Equaions", Fatih Universitesi, Jun. 2011

Doktora Tezleri

  • Nurdane KALE, "NEW DIFFERENCE SCHEMES FOR SOLVING FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS", Fatih Universitesi, Jun. 2014
  • Şerife Rabia BAYRAMOĞLU, "High-Order Difference Scheme For The Numerical Solution Of Time Fractional Parabolic Equations", Fatih Universitesi, Jun. 2015

Seminer ve Faaliyetler

  • "systematic iterative methods for solving linear systems", Yard. Doç. Dr. İbrahim KARATAY, Fatih Universitesi, istanbul, 25/03/2007-25/03/2007

Verdiği Dersler

  • 2014-2015 "Ph. D. Thesis", MATH 699/C, Credit:0
  • 2014-2015 "LINEAR ALGEBRA", MATH 123/D, Credit:3
  • 2014-2015 "CALCULUS I", MATH 113/B, Credit:5
  • 2014-2015 "SAYISAL ANALİZ I", MATE 375/B, Credit:3
  • 2014-2015 "KISMİ DİFERANSİYEL DENKLEMLER", MATE 371/A, Credit:3
  • 2013-2014 "DIFFERANTIAL EQUATIONS", MATH 271/C, Credit:3
  • 2013-2014 "Ph. D. Thesis", MATH 699/K, Credit:0
  • 2013-2014 "Ph. D. Thesis", MATH 600/H, Credit:0
  • 2013-2014 "M.S. Thesis II", MATH 599/M, Credit:0
  • 2013-2014 "Graduate Seminar ", MATH 501/M, Credit:0
  • 2013-2014 "INTRODUCTION TO PDES", MATH 371/A, Credit:3
  • 2013-2014 "DİFERANSİYEL DENKLEMLER", MATE 271/D, Credit:3
  • 2013-2014 "ANALİZ I", MATE 113/C, Credit:4
  • 2013-2014 "KISMİ DİFERANSİYEL DENKLEMLER", MATE 371/A, Credit:3
  • 2013-2014 "Ph. D. Thesis", MATH 699/H, Credit:0
  • 2013-2014 "Topics in Linear Algebra", MATH 514/A, Credit:3
  • 2013-2014 "ANALİZ II", MATE 114/C, Credit:4
  • 2013-2014 "MATLAB VE MAPLE", MATE 286/A, Credit:3
  • 2013-2014 "DİFERANSİYEL DENKLEMLER", MATE 271/A, Credit:3
  • 2012-2013 "Ph. D. Thesis", MATH 600/K, Credit:0
  • 2012-2013 "Graduate Seminar ", MATH 501/P, Credit:0
  • 2012-2013 "M.S. THESIS I", MATH 500/P, Credit:0
  • 2012-2013 "CALCULUS I", MATH 113/C, Credit:4
  • 2012-2013 "KISMİ DİFERANSİYEL DENKLEMLER", MATE 371/A, Credit:3
  • 2012-2013 "ANALİZ I", MATE 113/B, Credit:4
  • 2012-2013 "Ph. D. Thesis", MATH 600/F, Credit:0
  • 2012-2013 "M.S. THESIS I", MATH 500/K, Credit:0
  • 2012-2013 "CALCULUS II", MATH 114/C, Credit:4
  • 2012-2013 "NUMERICAL ANALYSIS I", MATH 375/B, Credit:3
  • 2012-2013 "Graduate Seminar ", MATH 501/K, Credit:0
  • 2012-2013 "ANALİZ II", MATE 114/A, Credit:4
  • 2012-2013 "DİFERANSİYEL DENKLEMLER", MATE 271/A, Credit:3

Tümünü listelemek için tıklayınız
  • 2011-2012 "Ph. D. Thesis", MATH 600/G, Credit:0
  • 2011-2012 "NUMERICAL ANALYSIS I", MATH 375/B, Credit:3
  • 2011-2012 "NUMERICAL SOLUTIONS OF ODES", MATH 477/A, Credit:3
  • 2011-2012 "ADİ DİFERANSİYEL DENKLEMLERİN SAYISAL ÇÖZÜMÜ", MATE 477/A, Credit:3
  • 2011-2012 "SAYISAL ANALİZ I", MATE 375/B, Credit:3
  • 2011-2012 "SAYISAL ANALİZ I", MATE 375/A, Credit:3
  • 2011-2012 "Ph. D. Thesis", MATH 600/F, Credit:0
  • 2011-2012 "NUMERICAL ANALYSIS I", MATH 375/A, Credit:3
  • 2011-2012 "SAYISAL ANALİZ II", MATE 376/A, Credit:3
  • 2011-2012 "SAYISAL ANALİZ I", MATE 375/A, Credit:3
  • 2011-2012 "ANALİZ II", MATE 114/A, Credit:4
  • 2011-2012 "NUMERICAL ANALYSIS I", MATH 375/B, Credit:3
  • 2011-2012 "NUMERICAL ANALYSIS I", MATH 375/A, Credit:3
  • 2011-2012 "NUMERICAL SOLUTIONS OF ODES", MATH 477/A, Credit:3
  • 2011-2012 "SAYISAL ANALİZ I", MATE 375/A, Credit:3
  • 2011-2012 "SAYISAL ANALİZ II", MATE 376/A, Credit:3
  • 2011-2012 "SAYISAL ANALİZ I", MATE 375/B, Credit:3
  • 2011-2012 "ANALİZ II", MATE 114/A, Credit:4
  • 2010-2011 "Graduate Seminar ", MATH 501/SMNR C, Credit:0
  • 2010-2011 "MATHEMATICAL METHODS-I", ECON 605/A, Credit:3
  • 2010-2011 "M.S. Thesis", MATH 500/TEZ C, Credit:0
  • 2010-2011 "CALCULUS I", MATH 113/G, Credit:4
  • 2010-2011 "NUMERICAL SOLUTIONS OF ODES", MATH 477/A, Credit:3
  • 2010-2011 "Ph. D. Thesis", MATH 600/B, Credit:0
  • 2010-2011 "Introduction to Scientific Computing", MATH 560/A, Credit:3
  • 2010-2011 "SAYISAL ANALİZ I", MATE 375/A, Credit:3
  • 2010-2011 "ADİ DİFERANSİYEL DENKLEMLERİN SAYISAL ÇÖZÜMÜ", MATE 477/A, Credit:3
  • 2010-2011 "NUMERICAL ANALYSIS I", MATH 375/A, Credit:3
  • 2010-2011 "M.S. Thesis II", MATH 599/D, Credit:0
  • 2010-2011 "NUMERICAL ANALYSIS I", MATH 375/B, Credit:3
  • 2010-2011 "MATLAB AND MAPLE", MATH 286/B, Credit:3
  • 2010-2011 "Ph. D. Thesis", MATH 600/E, Credit:0
  • 2010-2011 "TEMEL ANALİZ II", MATE 102/A, Credit:6
  • 2010-2011 "SAYISAL ANALİZ II", MATE 376/A, Credit:3
  • 2009-2010 "SENIOR PROJECT", MATH 492/A, Credit:3
  • 2009-2010 "NUMERICAL ANALYSIS I", MATH 375/B, Credit:3
  • 2009-2010 "TEMEL ANALİZ I", MATE 101/A, Credit:6
  • 2009-2010 "SAYISAL ANALİZ I", MATE 375/A, Credit:3
  • 2009-2010 "Introduction to Scientific Computing", MATH 560/A, Credit:3
  • 2009-2010 "CALCULUS II", MATH 114/D, Credit:4
  • 2009-2010 "TEMEL ANALİZ II", MATE 102/A, Credit:6
  • 2009-2010 "SAYISAL ANALİZ II", MATE 376/A, Credit:3
  • 2009-2010 "MATLAB AND MAPLE", MATH 286/A, Credit:3
  • 2009-2010 "CALCULUS II", MATH 114/B, Credit:4
  • 2009-2010 "MATLAB VE MAPLE", MATE 286/A, Credit:3
  • 2008-2009 "LINEAR ALGEBRA", MATH 220/D, Credit:3
  • 2008-2009 "HESAPLAMALI MATEMATİK", MATE 441/A, Credit:3
  • 2008-2009 "SAYISAL ANALİZ I", MATE 329/B, Credit:3
  • 2008-2009 "SAYISAL ANALİZ I", MATE 329/A, Credit:3
  • 2008-2009 "NUMERICAL ANALYSIS II", MATH 330/A, Credit:3
  • 2008-2009 "Introduction to Scientific Computing", MATH 560/A, Credit:3
  • 2008-2009 "SAYISAL ANALİZ II", MATE 330/A, Credit:3
  • 2008-2009 "SAYISAL ANALİZ I", MATE 329/A, Credit:3
  • 2007-2008 "NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS", MATH 437/A, Credit:3
  • 2007-2008 "LINEAR ALGEBRA", MATH 220/B, Credit:3
  • 2007-2008 "SAYISAL ANALİZ I", MATE 329/C, Credit:3
  • 2007-2008 "SAYISAL ANALİZ I", MATE 329/B, Credit:3
  • 2007-2008 "LİNEER CEBİR", MATE 220/B, Credit:3
  • 2007-2008 "MATLAB AND MAPLE", MATH 234/A, Credit:3
  • 2007-2008 "MATLAB AND MAPLE", MATE 234/A, Credit:3
  • 2007-2008 "KISMİ DİFERANSİYEL DENKLEMLER", MATE 350/A, Credit:3
  • 2007-2008 "SOSYAL BİLİMLER İÇİN TEMEL ANALİZ", MATE 106/A, Credit:3
  • 2007-2008 "LINEAR ALGEBRA", MATH 220/A, Credit:3
  • 2006-2007 "M.S. Thesis", MATH 500/Tez E, Credit:0
  • 2006-2007 "NUMERICAL ANALYSIS I", MATH 329/B, Credit:3
  • 2006-2007 "SINGLE-VARIABLE CALCULUS", MATH 113/A, Credit:4
  • 2006-2007 "LİNEER CEBİR", MATE 220/A, Credit:3
  • 2006-2007 "SAYISAL ANALİZ I", MATE 329/A, Credit:3
  • 2006-2007 "MULTI-VARIABLE CALCULUS", MATH 114/A, Credit:4
  • 2006-2007 "M.S. Thesis", MATH 500/Tezli E, Credit:0
  • 2006-2007 "MATLAB AND MAPLE", MATH 234/A, Credit:3
  • 2006-2007 "MATLAB AND MAPLE", MATE 234/A, Credit:3
  • 2006-2007 "İLERİ LİNEER CEBİR", MATE 222/A, Credit:3
  • 2006-2007 "LINEAR ALGEBRA", MATH 220/A, Credit:3
  • 2006-2007 "LİNEER CEBİR", MATE 220/A, Credit:3
  • 2005-2006 "LINEAR ALGEBRA", MATH 220/A, Credit:3
  • 2005-2006 "LINEAR ALGEBRA", MATH 220/B, Credit:3
  • 2005-2006 "ANALİZ I", MATE 113/B, Credit:4
  • 2005-2006 "LİNEER CEBİR", MATE 220/A, Credit:3
  • 2005-2006 "Numerical Solution of Partial Differential Equations", MATH 564/A, Credit:3
  • 2005-2006 "MATLAB AND MAPLE", MATH 234/A, Credit:3
  • 2005-2006 "ADVANCED LINEAR ALGEBRA", MATH 222/A, Credit:3
  • 2005-2006 "ANALİZ II", MATE 114/B, Credit:4
  • 2004-2005 "LINEAR ALGEBRA", MATH 220/A, Credit:3
  • 2004-2005 "SINGLE-VARIABLE CALCULUS", MATH 113/C, Credit:4
  • 2004-2005 "LINEAR ALGEBRA", MATH 220/C, Credit:3
  • 2004-2005 "MATEMATİK I", MATE 113/end A, Credit:4
  • 2003-2004 "DIFFERENTIAL EQUATIONS", MATH 230/A, Credit:3
  • 2003-2004 "MULTI-VARIABLE CALCULUS", MATH 114/A, Credit:4
  • 2003-2004 "MATEMATİK", MAT 101/işl B, Credit:3
  • 2003-2004 "MATEMATİK I", MAT 103/bil A, Credit:4
  • 2003-2004 "NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS", MATH 437/A, Credit:3
  • 2003-2004 "CALCULUS FOR SOCIAL SCIENCES I", MATH 103/A, Credit:3
  • 2003-2004 "MATLAB", MATH 234/A, Credit:3
  • 2002-2003 "COMPLEX ANALYSIS I", MATH 204/A, Credit:3
  • 2002-2003 "COMPLEX ANALYSIS I", MATH 204/B, Credit:3
  • 2002-2003 "MATEMATİK", MAT 101/işl A, Credit:3
  • 2002-2003 "MATEMATİK I", MAT 103/bil A, Credit:4
  • 2002-2003 "MATEMATİK", MAT 101/muh A, Credit:3
  • 2002-2003 "COMPLEX ANALYSIS II", MATH 206/A, Credit:3
  • 2002-2003 "ADVANCED LINEAR ALGEBRA", MATH 222/A, Credit:3
  • 2002-2003 "SINGLE-VARIABLE CALCULUS", MATH 113/A, Credit:4
  • 2002-2003 "MATLAB", MATH 234/A, Credit:3
  • 2001-2002 "LINEAR ALGEBRA", MATH 220/ceng A, Credit:3
  • 2001-2002 "LINEAR ALGEBRA ", MATH 223/phys A, Credit:4
  • 2001-2002 "COMPLEX ANALYSIS", MATH 204/ee A, Credit:3
  • 2001-2002 "LINEAR ALGEBRA ", MATH 223/math A, Credit:4
  • 2001-2002 "MATHEMATICA", MATH 233/math A, Credit:3
  • 2001-2002 "MULTI-VARIABLE CALCULUS", MATH 114/math A, Credit:4
  • 2001-2002 "DIFFERENTIAL EQUATIONS", MATH 230/ceng A, Credit:3
  • 2001-2002 "LINEAR ALGEBRA II", MATH 224/math A, Credit:4
  • 2001-2002 "MATLAB", MATH 234/math A, Credit:3
  • 2000-2001 "LINEAR ALGEBRA ", MATH 223/phys A, Credit:4
  • 2000-2001 "LINEAR ALGEBRA", MATH 220/enve A, Credit:3
  • 2000-2001 "LINEAR ALGEBRA ", MATH 223/math A, Credit:4
  • 2000-2001 "LINEAR ALGEBRA", MATH 220/ceng A, Credit:3
  • 2000-2001 "LINEAR ALGEBRA", MATH 220/ie A, Credit:3
  • 2000-2001 "COMPLEX ANALYSIS", MATH 204/ee A, Credit:3
  • 2000-2001 "LINEAR ALGEBRA", MATH 220/ee A, Credit:3
  • 2000-2001 "LINEAR ALGEBRA II", MATH 224/math A, Credit:4
  • 2000-2001 "CALCULUS II", MATH 102/chem A, Credit:3
  • 2000-2001 "CALCULUS II", MATH 102/biol A, Credit:3
  • 1999-2000 "THE USE OF INFORMATION TECHNOLOGY", INFO 101/sde A, Credit:1
  • 1999-2000 "THE USE OF INFORMATION TECHNOLOGY", INFO 101/çde A, Credit:1
  • 1999-2000 "THE USE OF INFORMATION TECHNOLOGY", INFO 101/geo A, Credit:1
  • 1999-2000 "THE USE OF INFORMATION TECHNOLOGY", INFO 101/rde A, Credit:1
  • 1999-2000 "LINEAR ALGEBRA", MATH 220/ee A, Credit:3
  • 1999-2000 "COMPLEX ANALYSIS", MATH 204/ee A, Credit:3
  • 1998-1999 "BASIC COMPUTER SCIENCES", ENFO 102/rde 1, Credit:1
  • 1998-1999 "BASIC COMPUTER SCIENCES", ENFO 102/sde 1, Credit:1
  •  Yazıcı Dostu Sayfa    Arkadaşıma Gönder
    Güncelleme Tarihi: 17 Temmuz 2006, Pazartesi
    Yayın Tarihi: 17 Temmuz 2006, Pazartesi
    Ziyaret Sayısı: 337232

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