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Faculty

Zakieh Avazzadeh Associate Professor

Bio: 

Educational Background

Post-Doctoral Fellowship, Hohai University (2012-2014).

PhD,Numerical Analysis, Yazd University(2011)

MSc, Applied Mathematics, Ferdowsi University (2007)

BSc, Applied Mathematics, Ferdowsi University (2005)

 

Research Interests

  • Numerical Solution of Integral Equations, Differential and Integro-differential Equations, Partial Differential and Partial Integro-Differential Equations
  • Differentia Equations with Non-Standard Boundary
  • Numerical Approximation using Radial Basis Function, Operational Matrix, Orthogonal Polynomials, Wavelet Method, Block pulse Functions.

 

Research Projects

  1. Natural Science Foundation of Jiangsu Province, Grant No.BK20150964

Project worked on: A new method for solving non classical partial differential equations and partial Integro-differential equations

Principal Investigator, 2015.07-2018.06

 

  1. National Natural Science Foundation of China, Grant No. 11671210

Project worked on: A finite element method for polygonal meshes

Participant Investigator, 2017.01-2020.12

 

Publications:

 

  1. Z. Avazzadeh*, M. Heydari,  "Modified generalized Laguerre-Chebyshev spectral collocation method for solving the age-structured population models", Submitted.
  2. Z. Avazzadeh*, M. Heydari,  "Haar wavelet method for solving non-linear age-structured population models", Submitted.
  3. Z. Avazzadeh*, M. Heydari, Solving high order differential equations with separated and non-separated boundary conditions using Haar wavelet method”, Revised.
  4. Shahram Dehdashti*, Zakieh Avazzadeh, Behrouz Mirza, Hongsheng Chen, "Gravitational Fields effects on Decoherence Process and Quantum Speed Limit Time“, Revised.
  5. Z. Avazzadeh*, M. Heydari, "The application of block pulse functions for solving higher order differential equations with multi-point boundary conditions",  Advances in Difference Equations, DOI 10.1186/s13662-016-0822-6.
  6. Z. Avazzadeh, H. Bahramiyan, R. Khordad*, S. A. Mohammadi, Diamagnetic susceptibility of an off-center hydrogenic donor in pyramid-like and cone-like quantum dots, The European Physical Journal Plus, DOI: 10.1140/epjp/i2016-16121-8.
  7. Z. Avazzadeh, H. Bahramiyan, R. Khordad*, S. A. Mohammadi, Energy gap renormalization and diamagnetic susceptibility in quantum wires with different cross-sectional shape, Journal of Computational Electronics, DOI 10.1007/s10825-016-0824-3
  8. Z. Avazzadeh*, Vahid Reza Hosseini, Wen Chen,“Radial basis functions and FDM for solving fractional diffusion-wave equation“, Iranian Journal of Science and Technology (Transaction A-Sciences), 38 (2014) 205-212.
  9. Z. Avazzadeh, Z. Beygi Rizi, F.M.  Maalek Ghaini*, G.B. Loghmani, A semi-discrete scheme for solving nonlinear hyperbolic-type partial integro-differential equations  using radial basis functions“,  Journal of Mathematical Physics, 52 (2011). doi:10.1063/1.3601847.
  10. Z. Avazzadeh,  Z. Beygi Rizi, F.M.  Maalek Ghaini*, G.B. Loghmani, A numerical solution of nonlinear parabolic-type Volterra partial integro-differential equations using radial basis functions,  Engineering Analysis with Boundary Elements,   36  (2012)  881-893.
  11. Z. Avazzadeh, M. Heydari , G. B. Loghmani*, “Numerical solution of Fredholm integral equations of the second kind  by using integral mean value theorem” ,Applied Mathematical Modelling, 35 ( 2011)  2374-2383.
  12. Z. Avazzadeh, M. Heydar*i,  W. Chen, G.B. Loghmani, “Smooth solution of partial integro-differential equations using radial basis functions“, Journal of Applied Analysis and Computation, 4 (2014) 115-127.
  13. Z. Avazzadeh*; M. Heydari, “Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations  of the second kind,Computational and Applied Mathematics, 31 (2012) 127-142.
  14. Vahid Reza Hosseini, Wen Chen, Z. Avazzadeh*, Numerical solution of fractional telegraph equation by using radial basis functions“,Engineering Analysis with Boundary Elements,   38  (2014)  31-39.
  15. M. Heydari,  Z. Avazzadeh, H. Navvabpour, G. B. Loghmani*, “Numerical solution of Fredholm integral equations of the second kind  by using integral mean value theorem II: high dimensions”,  Applied Mathematical Modelling, 37 (2013) 432-442.
  16. M. Heydari,Z. Avazzadeh,G. B. Loghmani*, “Chebyshev cardinal functions for solving volterra-fredholm integro-differential equations using operational matrices”, IranianJournal of Science and Technology, A1 ( 2012) 13-24.
  17. Zakieh Avazzadeh*, Mohammad Heydari, Wen Chen, and G. B. Loghmani, Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions, Journal of Applied Mathematics, Volume 2014 (2014), Article ID 710437.
  18. Z. Avazzadeh*;M. Heydari;G. B. Loghmani,A comparison between solving two dimensional integral equations by the traditional collocation method and radial basis functions",  Applied Mathematical Sciences, 5(2011)1145-1152.
  19. Z. Avazzadeh*;B. Shafiee;G. B. Loghmani , “ Fractional calculus in solving Abel's integral equation by using Chebyshev polynomial”, Applied Mathematical Sciences, 5(2011)2207-2216.
  20. Z. Avazzadeh, B. Shafiee, G. B. Loghmani, “Solution of  Abel‘s integral equations using Legendre polynomials and fractional calculus techniques”,International Journal of Mathematical Archive, 8 (2011) 1-8.
  21. Z. Avazzadeh, “A Numerical Approach for Solving Quadratic Integral Equations of Urysohn’s Type using Radial Basis Function“,Journal ofApplied & Computational Mathematics, 1 (2012)  1-6.
  22. Z. Avazzadeh*, Wen Chen, V.R. Hosseini, The coupling of RBF and FDM for solving higher order fractional partial differential equations,International Conference on Mechanical Engineering and Industrial Manufacturing (CMEIM 2014), Nanjing, China, June 27-29, 2014. Published in"Applied Mechanics and Materials"Vol 598 (2014)  pp 409-413.
  23. Z. Avazzadeh*,M. Heydari, “Integral mean value method for solving Fredholm integral equations of the second kind on the half line“, Journal of Multidisciplinary Engineering Science Studies (JMESS), Vol. 2 Issue 1, January – 2016.
  24. Z. Avazzadeh*, M. Heydari,Chebyshev Cardinal Functions for Solving Age-Structured Population Models”, Int. J. Appl. Comput. Math, doi: 10.1007/s40819-016-0236-x.