Updated 11.11.2011                                                                                                 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 51-52 ext. 2676

+90 236 241 21 51-52 ext. 2675

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).

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

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

Fırat University , Elazığ, Turkey. 1988-1995, Assistant Professor of Mathematics.

Celal Bayar University, Manisa,Turkey,2003-  , Professor

Celal Bayar University, Manisa,Turkey,2003-2005, Head of Graduate School of Natural and Applied Sciences

Celal Bayar University, Manisa,Turkey,2005-2008, Dean of the Faculty of Art& Sciences

Celal Bayar University, Manisa, Turkey, 1997-2003, Associate Professor ; Teach Undergraduate and Graduate Level Mathematics Courses. Promote Research and Teaching Excellence in both the Department of Mathematics and the School of Engineering.

Celal Bayar University, Manisa, Turkey, 1997-  , Head of the Department of Mathematics and Chief of the Division of Applied Mathematics; Managed Departmental Personnel Matters and Budget Established the Master of Science in Mathematics Program. Improved Communication between the University, the School of Engineering and Department of Mathematics Mathematics Provided Leadership in Research and Teaching Excellence in both the Department of Mathematics 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).(Cited 3**)

 2. Ergüt M., Aydın A. P., Bildik N., “The Steiner Formula for the Complex Closed Exponential Motion in Lorentzian Space E2 “, 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 ( P), (P’) and the point Correspondence X↔X’ in 2- Dimensional Lorentzian Space L2 “, 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 L2 “, 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 L2 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 L2 “, 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 E2”, 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). (Cited 2**)

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). (Cited 5**)

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 (Cited 5*)

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. (Cited 3*)

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, April 5 2005. (Cited 2*)

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, April 15 2005. (Cited 8*)

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 July 15 2005 (Cited 4*)

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. (Cited 24*)

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. (Cited 158*)

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. (Cited 11*)

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. (Cited 8*)

34. Bildik N., Konuralp A., Yalcinbas S., Comparison of Legendre Polynomial Approximation and Variational Iteration Method for the Solutions of General Linear Fredholm Integro-differential Equations, Computers & Mathematics with Applications, Volume 59,  Issue 6, pp.1909-1917, March 2010. (Cited 2*)

35. D.D. Demir, Bildik N., A. Konuralp, A. Demir, The Numerical Solutions for the Damped Generalized Regularized Long-Wave Equation by Variational Method, World Applied Sciences Journal, Volume 13,Special Issue Applied Math., 2011.

36. Bildik N.,D.D. Demir, The Solution of Lateral Heat Loss Problem Using Collocation Method with Cubic B-Splines Finite Element, Applied Mechanics and Materials, Volume 110-116, pp.3184-3190, 2012.

*Cited in Web of Science, updated in 31.10. 2011
**Cited in Google Academics, updated in 03.11.2011

PROCEEDINGS:

1. Bildik N., Aydın A. P., Ergüt M., “The Steiner Field Formula for the Explict Exponential Motion in Lorentzian Space L2”, 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, Plovdiv-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, Plovdiv-Bulgaria (1996), Abstract, pp. 35.

6. Bildik N., “An A-Stable Extended Rectangular Rule for the Integration of Ordinary Differential 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, Plovdiv-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 Eigen 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), Kırıkkale .

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), Manisa.

 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, Plovdiv/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, Plovdiv-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/Türkiye, 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/Türkiye, 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.

 28. Bildik N., Mutlu A., Mutlu B. ve Öztunç S., “Cw Bazıyla Verilen Free Simplişıl Cebirlerin 2-İskelet Resolasyonu”, “5. Ankara Matematik Günleri Kongresi”, Sayfa 129, TOBB-ETÜ, Ankara, 3-4 Haziran 2010.

 

29. Bildik N., Pakdemirli M., Konuralp A., “Perturbasyon İterasyon Metodu İle Diferansiyel Denklem Sistemlerinin Yaklaşık Çözümü”, “5. Ankara Matematik Günleri Kongresi”, Sayfa 130, TOBB-ETÜ, Ankara, 3-4 Haziran 2010.

 

30. Demir D.D. Konuralp A., Bildik N., Demir A., “Numerical Solution to the Damped Generalized Regularızed Long-Wave Equation”, “3rd Conference on Nonlinear Science and Complexity”, Çankaya University, Ankara, 28-31 July 2010.

31. D.D. Demir, Bildik N., The Solution of Lateral Heat Loss Problem Using Collacation Method with Cubic B-Splines Finite Element, The Forth Congress of the Turkic World Mathematical Society (TWMS), pp. 327,Baku, Azerbajian, 5-7 July 2011.

32. Bildik N., Y. Demirel, The Comparison of Approximate Solution of Ordinary Differential Equation Using by Modified Krosnaselskii Iteration Method, The Forth Congress of the Turkic World Mathematical Society (TWMS), pp. 181, Baku, Azerbajian, 5-7 July 2011.

33. S. Öztunç, Mutlu A., Bildik N., Directed Homotopy Theory of Digital Images, The Forth Congress of the Turkic World Mathematical Society (TWMS), pp. 49, Baku, Azerbajian, 5-7 July 2011.

34. Bildik N., M. Aygün,  Gecikmeli Diferansiyel Denklemlerin Farklı Kararlılık Analizleri, 10. Matematik Sempozyumu, Işık Üniversitesi, 21-23 Eylül 2011.

35. Bildik N., Ş. Dönmez, Homotopi Analiz Metodunun Farklı Tipte Diferansiyel Denklemlere Uygulanışı, 10. Matematik Sempozyumu, Işık Üniversitesi, 21-23 Eylül 2011.

36. D.D. Demir, Bildik N., The Tanh Method for The Fractional Sharma-tasso-olever Equation, 10. Matematik Sempozyumu, Işık Üniversitesi, 21-23 Eylül 2011.

 

WORKSHOP PRESENTATIONS

1. Bildik N., Matematik ve Tarihine Genel bir Bakış, YİBO Öğretmenleri (Fen ve Teknoloji-Fizik, Kimya, Biyoloji- ve Matematik) Proje Danışmanlığı Eğitimi Çalıştayı, Gebze, Kocaeli, 30 Ocak-06 Şubat 2011.

2. Bildik N., Cahit Arf’in 100. Doğum Gününü Anma Üzerine Bir Konuşma, Hedef İlköğretim Okulu, Manisa, 2011.

 

EDITORIAL BOARD MEMBER:

1. International Journal of Mathematics and Engineering with Computers (IJMAEC), National Institute of Technology, Tiruchirappalli- 620015, Taminaldu/India.

2. Celal Bayar University, Journal of Science, Manisa.

 

EDITORIAL REVIEW BOARD:

1. International Journal of Open Problems in Computer Science and Mathematics, IJOPCM, ISSN:1998-6262, 2009.

2. Mathematical Problems in Engineering, Hindawi Publishing.

3. Parallel Computing, Elsevier.

4. International Journal of Computer Mathematics, Taylor&Francis, 2008.

5. International Journal of Mathematics and Mathematical Sciences, Hindawi Publishing.

6. Journal of Zhejiang University SCIENCE A, 2009.