Necdet Bildik Home Page

Prof. Dr. Necdet Bildik

PERSONAL DATA:

Name:	Necdet Bildik
School Address:	Celal Bayar University Faculty of Art & Sciences Department of Mathematics Muradiye Campus Manisa, Turkey 45047
E-Mail:	necdet.bildik@bayar.edu.tr n.bildik@bayar.edu.tr necdet_bildik@yahoo.com
Office Phone:	+90 236 241-21 51 ext. 104 +90 236 241 21 51 ext. 188

ACADEMIC BACKGROUND:

Professor of Applied Mathematics 2003. Department of Mathematics, Faculty of Art and Sciences, Celal Bayar University, Turkey.
Ph.D. 1981. (Mathematics).Oklahoma State University, Stillwater, 74078, USA Dissertation title: Dynamical Systems of Metric Spaces.
M.A. 1978. University of Louisville, Louisville, Kentucky, 40208, USA. Specializations: Mathematics and Complex Dynamics.
B.A. 1974. Mathematics. Ankara University, Ankara, Turkey.

TEACHING EXPERIENCE:

Celal Bayar University, Muradiye , Manisa, Turkey, 1997 - Present. Teach the following courses: Nonlinear Differential Equations, Complex Analysis, Numerical Analysis, Partial and Ordinary Differential Equations, Engineering Mathematics, Computer Science Programming , Calculus I&II (undergraduate); Advanced Numerical Analysis, Complex Variables, Advanced Nonlinear Differential Equations and Stability Theory (graduate).

Fırat University , Elazığ, Turkey. 1995 - 1997. Associate Professor of Mathematics. Taught Calculus I &II, Nonlinear Differential Equations, Complex Analysis, Numerical Analysis, Ordinary Differential Equations, Engineering Mathematics, Computer Science Programming (undergraduate); (graduate).

Fırat University , Elazığ, Turkey. 1995 - 1997. Assistant Professor of Mathematics.

Ankara University , Ankara, Turkey, 1975-1976. Lecturer.

Atatürk University , Erzurum, Turkey, 1974-1975, Lecturer .

2003 Professor. Celal Bayar University

1997 -2003 Associate Professor. Teach undergraduate and graduate level Mathematics courses. Promote research and teaching excellence in both the Mathematics department and the School of Engineering.

1997 - present Chairperson. Department Mathematics, Celal Bayar University

Managed departmental personnel matters and budget.

Established the Master of Science in Mathematics program.

Improved communication between the University, the School of Engineering and Mathematics faculty.

Provided leadership in research and teaching excellence in both the Mathematics department and the School of Engineering.

RESEARCH AND PUBLICATIONS:

1. Ergüt M., Aydın A. P., Bildik N., “The Geometry of Canonical Relative System and One-Parameter Motions in 2-Dimensional Lorentzian Space”, The Journal of Fırat University , Science and Technology, Vol .3, No.1, pp:113-122 (1988).

2. Ergüt M., Aydın A. P., Bildik N., “The Steiner Formula for the Complex Closed Exponential Motion in Lorentzian Space E 2 ”, The Journal of Fırat University, Science and Technology, Vol .3, No.2, pp:33-40 (1988).

3. Ergüt M., Aydın A. P., Bildik N., “The Curvature of the Trajectory Curves of the Pole Curves ( ), ( ) and the point Correspondence in 2- Dimensional Lorentzian Space L 2 ”, The Journal of Fırat University , Science and Technology, Vol . 4, No.1, pp:29-33 (1989).

4. Bildik N., “Some Properties of Lebesgue Measure in Hilbert Spaces”, The Journal of Fırat University , Science and Technology, Vol. 4, No:1, pp:107-113 (1989).

5. Ergüt M., Bildik N., Aydın A. P., “Apex Point of the Pole Trajectories in 2-Dimensional Lorentzian Space L 2 ”, Pure and Applied Mathematica Sciences, Vol XXXVII, No.1-2 , March (1993).

6. Bildik N., “A Note on Dulac’s Problem for Quadratic Vector Fields I”, Fırat University, Journal of Science and Engineering, Vol . 6, No.1, pp:31-40 (1994).

7. Bildik N., “Survey of Dulac’s Problem for Quadratic Vector Fields”, Fırat University, Journal of Science and Engineering, Vol . 6, No.2, pp: 92-99 (1994).

8. Bildik N., “A Note on Dulac’s Problem for Quadratic Vector Fields II”, Acedemy of Sciences of Azerbaijan Institute of Mathematics and Mechanics, UDC 515.17, pp:174-177 (1995).

9. Bildik N., Akın Ö., “A Survey of Dulac’s Problem”, Fırat University, Journal of Science and Engineering, Vol .7, No.1, pp: 32-41 (1995).

10. Bildik N., “Some Certain Conditions of Oscillation Theory”, Fırat University, Journal of Science and Engineering, Vol .7, No.1, pp : 41-47 (1995).

11. Bildik N., “Dynamical Homeomorphism and Dynamical Isomrophism in Dynamical Systems” Fırat University , Journal of Science and Engineering, Vol .7, No.2, pp: 7-13 (1995).

12. Bildik N., “Lebesgue Measure in L 2 by Parseval’s Formula”, The Journal of Fırat University,, Science and Technology, Vol. 7, No:2, pp:13-17 (1995).

13. Bildik N., “A Note on Dulac’s Problem for Quadratic Vector Fields IV ”, Journal of Institute of Mathematics & Computer Science, Vol . 8, No:3, pp:221-226 (1995).

14. Bildik N., “Trigonometric Polinomials Concerning to the Parseval’s Formula in L 2 ”, The Journal of Fırat University , Science and Technology, Vol. 8, No:1, pp: 35-44 (1996).

15. Bildik N., “Some Properties of the Fourier Series in Two Dimensional Space R2 (or C)”, The Journal of Fırat University , Science and Technology , Vol . 8, No:2, pp:17-25 (1996).

16. Bildik N., Ergüt M., “The Steiner Formula for the Complex Homothetic Closed Exponential Motion in E 2”, The Journal of Fırat University , Science and Technology, Vol .9, No:2, pp:129-134 (1997).

17. Bildik, N., İnç M., “On Some Extensions of Dynamical Systems in Metric Spaces”, Far East Journal of Mathematical Sciences, Vol. 6. No: 6, pp:1033-1044 (1998).

18. Bildik, N., “A Note on Dulac’s Problem for Quadratic Vector Fields III ”, Bulletin of Pure Applied Sciences, Vol .18 (1998).

19. İnç M., Bildik, N., Bulut H., “A Comparison of Numerical Ode Solvers Based on Euler Methods”, Mathematical & Computational Applications, Vol.3, No.3, pp:153-159 (1998).

20. Bildik, N., Bulut, H. “An A-Stable Extended Simpson Rule for the Numerical Integration of Ordinary Differential Equations”, Hadronic Journal Supplement, Vol. 14, pp:449-457 (1999).

21. Bildik N., M. İnç, “On Some Extensions of Dynamical Homeomorphism and Dynamical Isomorphism in Dynamical System”, Mathematical & Computational Applications, Vol.4, No.2, pp:189-194 (1999).

22. Bildik, N. with Bulut, H. “An A-Stable Extended Rectangular Rule for the Integration of Ordinary Differential Equations”, Hadronic Journal Supplement, Vol. 15, pp:184-193 (2000).

23. İnç M., Bildik N., “Non-Perturbatıve Solution of the Ginzburg-Landau Equation”, Mathematical & Computational Applications , Vol.5 , No.2, pp: 113-117 (2000).

24. Yılmaz T., Bildik N., Yılmaz B., “Ege Denizi’ne Kıyısı Bulunan Akarsu Havzalarında Sediment Taşınımı” , İzmir İnşaat Mühendisleri Odası, Sayı: 108-109, Sayfa: 25-29 , Aralık 2002-Şubat 2003.

25. Küçükarslan S., Banerjee P.K., Bildik N., “Inelastic Analysis of Pile Soil Structure Interaction” Engineering Structures, Vol.25, pp:1231-1239 (2003) http://www.elsevier.com/locate/engstruct

26. Bildik, N., İnç M., “On the Numerical Solution of the Initial Value Problems for Nonlinear Trapezoidal Formulas with Different Types”, International Journal of Computer Mathematics, Vol.80, No.9, pp.1175-1188, September 2003.

27. Bildik N., Ozlu S., On the numerical solution of Helmholtz equation by alternating group explicit (AGE) methods,Applied Mathematics and Computation 163 (1) pp.505-518 APR 5 2005.

28. Bildik N., Bayramoglu H., The solution of two dimensional nonlinear differential equation by the Adomian decomposition method,Applied Mathematics and Computation 163 (2) pp. 519-524 APR 15 2005.

29. Bildik N., Avci G., On the solution of Poisson equation by alternating group explicit iterative method, Applied Mathematics and Computation, 166 (2) pp.411-425 JUL 15 2005

30. Bildik N., Konuralp A., Bek Orakcı F. and Kucukarslan S., Solution of different type of the partial differential equation by differential transform method and Adomian’s decomposition method, Applied Mathematics and Computation, Volume 172 (1), pp. 551-567, JAN 1 2006.

31. Bildik N., Konuralp A., The use of Variational Iteration Method, Differential Transform Method and Adomian Decomposition Method for solving different types of nonlinear partial differential equations , International Journal Of Nonlinear Sciences And Numerical Simulation, Volume 7 (1), pp. 65-70, 2006

32. Bildik N., Konuralp A., Two dimensional differential transform method, Adomian's Decomposition Method and variational iteration method to partial differential equations , International Journal Of Computer Mathematics, Volume 83, Issue 12, Pages 973-987, 2006.

33. Bildik N., Inc M., Modified decomposition method for nonlinear Volterra–Fredholm integral equations, Chaos, Solitons & Fractals, Volume 33, Issue 1, pp. 308-313, July 2007.

PROCEEDINGS:

1. Bildik N., Aydın A. P., Ergüt M., “The Steiner Field Formula for the Explict Exponential Motion in Lorentzian Space L 2”, Proceedings 22 nd Annual Iranian Mathematics Conference, March 13-16, Ferdowsi University of Mashhad, IRAN, pp.54-61 (1991).

2. Aydın A. P., Bildik N., Ergüt M., “Cauchy Formulas Belongs to the Envelope of the Line Bundles in the sense of Lorentz”, Proceedings of 22 nd Annual Iranian Mathematics Conference, March 13-16, Ferdowsi University of Mashhad, IRAN, pp. 49-53 (1991).

3. Bildik N., “A Note on Dulac’s Problem for Quadratic Vector Fields II ”, 26 th Annual Iranian Conference, Shahid Bahonar University of Kerman -IRAN, March 28-31, pp. 11 (1995).

4. Bildik N., “A Note on Dulac’s Problem for Quadratic Vector Fields IV ”, Sixth International Colloquium on Differential Equation, PLOVDİV-BULGARIA, August 18-23 (1995), Abstract pp.30.

5. Panakhov E.S., Bildik N., “On the Definition of Dirac System by Two Incomplete Given Collection of Eigen Values”, Seventh International Colloquium on Differential Equation, PLOVDİV-BULGARIA (1996), Abstract, pp. 35.

6. Bildik N., “An A-Stable Extended Rectengular Rule for the Integration of Ordinary Differantial Equations” Matematik Sempozyumu, Balıkesir Üniversitesi, 05-08 Haziran 1997, Sarımsaklı / Balıkesir, Abstract pp. 57.

7. Bildik N., “An A-Stable Extented Simpson Rule for the Integration of Ordinary Differential Equations”, Uluslararası Fonksiyone Diferansiyel-Fark Denklemler ve Uygulamaları Konferansı, 18-22 Ağustos 1997, ANTALYA, Abstract, pp. 26.

8. Panakhov E. S., Bildik N., “Generally Degenerated of Fundamental Integral Equation Inverse Problem for Sturm-Liouville Operator having Singular Point at Zero”, Eighth International Colloquium on Differential Equation, PLOVDİV/BULGARIA, August 18-23, 1997. Abstract, pp.186.

9. Panakhov, E.S. with Bildik, N., “On the Definition of Dirac System by Two Incomplete Given Collection of Eiegen Values”, Conference on Differential Equations and Their Applications, Brno/ CZECH REPUBLIC, August 25-29 (1997), Abstract, pp.28.

10. Bildik, N., İnç, M., “On the Stability of the Numerical Solution of the Initial Value Problems fo Nonlinear Trapezoidal Formulas with Different Types” Sakarya Matematik Sempozyumu, 11-13 Eylül 1997, Abstract pp. 40, Sakarya Üniversitesi, Fen-Edebiyat Fakültesi, Adapazarı.

11. Bildik, N., Aydın A. P., “The Algebraic Invariant of the Surface Connected with the Exponential Function”, II. Uluslararası Kızılırmak Fen Bilimleri Kongresi, pp.197- 200 (1998), KIRIKKALE .

12. Bildik N., Kaya D., Çatalbaş N., “A Computer Program for the Implementation of Adomoian’s Decomposition Method” Atatürk Üniversitesi, Fen-Edebiyat Fakültesi, K.K. Eğitim Fakültesi, 40. Kuruluş Yıldönümü Matematik Sempozyumu, 20-22 Mayıs 1998, Abstract, pp.42, ERZURUM.

13. Panakhov E.S., Bildik N., Ergüt M., “On the Determination of the Diffusion Operator from Two Spectra”, International Congress of Mathematicians, Technische Universitat Berlin Fachbereich 3/ Mathematik Straβe des 17. Juni 136 10623 Berlin / GERMANY (1998), Abstract, pp.17.

14. Bildik N., “A Note on Dulac’s Problem for Quadratic Vector Fields I ”, International Conference on Partial Differential Equations and Numerical Analysis,Institute of Applied Mathematics, Academia Sinica, Beijing 100080, CHINA (1998), Abstract pp: 38.

15. Bildik, N., “A Comparison of Numerical Ode Solvers Based on Euler Methods” Türk Matematik Derneği 11. Ulusal Matematik Sempozyumu, 7-11 Eylül 1998 Isparta, pp: 80.

16. Bildik, N., Bulut, H., “An A-Stable Extended Rectangular Rule for the Integration of Ordinary Differential Equations”, II. Spil Fen Bilimleri Kongresi Sayı:4, Issn 1301-2428,pp:104-111 (1997), MANİSA.

17. Bildik, N., “On the Numerical Solution of the Initial Value Problems for Nonlinear Trapezoidal Formulas with Different Types”, Ninth International Colloquium on Differential Equation, PLOVDİV/BULGARIA, August 18-23, 1998. Abstract, pp:21.

18. Bildik, N. “A Comparison of Numerical Odd Solvers Based on Euler Methods”, 1. İstatistik Kongresi, 5-9 Mayıs 1999, pp: 246-251, Belek/ANTALYA.

19. Bildik N., “A Note on Dulac’s Problem for Quadratic Vector Fields III ”, Tenth International Colloquium on Differential Equation, PLOVDİV-BULGARIA, August 18-23 (1999), Abstract pp.30.

20. Mutlu, A., Bildik, N. “2-Crossed Complexes of Simplicial Algebras”, [ I.Türk Matematik Dünyası Sempozyumu, Fırat Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Elazığ/TÜRKİYE, 29 Haziran-2 Temmuz 1999.] Vol.11,No.3, pp:141-156.

21. İnç M., Bildik N., “Non-Perturbative Solution of the Ginzburg-Landau Equation” International Conference on Mathematics and Its Applications in the New Millenium” 18-19 July 2000 (Renaissance Palm Garden Hotel), Universiti Putra Malaysia pp: 42, Malaysia.

22. Bildik, N. with Kaya, D., “On the Solution of the Undirectional Nonlinear Wave Equation by the Decomposition Method ”, İstatistik Araştırma Sempozyumu 2000, 27-29 Kasım2000, Sayfa: 22-25, Ankara.

23. Bildik, N., Avcı, G., “On the Solution of Poisson Equation by Alternating Group Explicit Iterative Method”, İstatistik Araştırma Sempozyumu 09- 11 Aralık 2002, Abstract, pp. 22, Ankara.

24. Uğurlu H.H., Bildik N., Aytun I, “1-Parametreli Lorentziyen Düzlem Hareketi Üzerine”, Fırat Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Elazığ/TÜRKİYE, Cumhuriyetimizin 80. yılı I. Geometri Sempozyumu, 3-4 Temmuz 2003, Abstract, pp.23.

25. Bildik N., Uslu E, On the Solution of the Partial Differential Equations by the Technique of Adomian Decomposition Method and Two Dimensional Differential Transform Method “International workshop on analysis and its application”, Mersin University, September 07-11, 2004.

26. Bildik N., A. Konuralp, The use of Variational Iteration Method, Differential Transform Method and Adomian Decomposition Method for solving different types of nonlinear partial differential equations “El-Naschie Symposium on Nonlinear Dynamics”, Donghua University ,December 20-21, 2005, Shanghai, China.

27. Bildik N., İnç M, THE STABILITY ANALYSIS OF THE NUMERICAL SOLUTION OF NONLINEAR TRAPEZOIDAL FORMULAS WITH DIFFERENT MEANS “II. Turkish World Mathematics Symposium”, Sakarya University, July 04-07, 2007.