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Asghar Ghorbani
 
 
 
 
Ph.D of Numerical Analysis

Department of Applied Mathematics
 
School of Mathematical Sciences
 
Ferdowsi University of Mashhad, Mashhad, Iran
 
 

 

 

 

 
 
 
 
 
Please visit my Facebook page at: http://www.facebook.com/asghar.ghorbani
 
 

 

My previous research interest was in adaptive/optimal piecewise-spectral  parametric iteration method for numerical solution to ordinary differential equations (ODEs). This method combines the spectral collocation method and the parametric iteration method. This topic was central to my Ph.D thesis. I also have an interest in the application of this method to partial differential equations (PDEs) and integral equations (IEs).

 


 

 

Personal Information

 

Marital status: Single
Sex: Male
Place of Birth: Gorgan, Iran
Date of Birth: 1 April 1977 (1356 / 01 / 12)
Mobile Phone: (+98) 911 370 7058
Home Phone: (+98) 171 267 2486
E-mail(s): This e-mail address is being protected from spambots. You need JavaScript enabled to view it ; This e-mail address is being protected from spambots. You need JavaScript enabled to view it
 
 
 
 
Academic Qualification
 
 
Ph.D. in Applied Mathematics

 

Specialization: Applied Mathematics (Numerical Analysis).

University: Ferdowsi University of Mashhad, Mashhad, Iran (2009-2012).

Title of Dissertation: Approximate Analytical Methods for Solving Nonlinear Differential Problems.

Supervisor: Professor Jafar Saberi-Nadjafi.

 

M.Sc. in Applied Mathematics

 

Specialization: Applied Mathematics (Numerical Analysis).

University: Ferdowsi University of Mashhad, Mashhad, Iran (2005-2008).

Title of Thesis: He's Homotopy Perturnation Method and its Different Applications.

Supervisor: Professor Jafar Saberi-Nadjafi.

 

B.Sc. in Mathematics

 

Specialization: Mathematics.

University: Payam-e-Noor Behshahr, Behshahr, Iran (1996-2002).

 

 

Research Interests
 
 
My general research interests are in the areas of applied mathematics, numerical analysis of differential equations, differential equations of applied mathematics, fractional calculus and fractional differential equation. More specifically, my research interests can be summarized as follows:
 
 
  • Numerical Analysis of Ordinary/Partial Differential Equations
  • Approximate Solution of Integral and Differential Equations
  • Numerical Solution of Fractional Differential Equations
  • Differential-Algebraic Equations
  • Delay Differential Equations
  • Spectral Methods
  • Adaptive Finite Element Methods and Their Numerical Analysis
  • Finite Volume Methods
  • Domain Decomposition Methods
  • Iterative, Multigrid and Galerkin Methods and Their Numerical Analysis
  • Approximate Solution of Nonlinear Optimal Problems
  • Geometric Integration
  • Numerical Linear Algebra

 
Award/Prizes/Highlights
 
 

 

  • The ISI and Scopus h-index=7 according to Scopus Database. Also h-index=9 and i10-index=9 according to Google scholar (Total citations: 600+).

  • My M.Sc. thesis was elected as a distinguished thesis in Ferdowsi Festival, Mashhad, December 2009.

  • Entrance into the PhD program at Ferdowsi University of Mashhad without the Entrance Exam.

  • A member of the Office of Bright Talents.

 

 
 
Publications
 
 
Here is a list of the papers of mine which either have been accepted or have been submitted for publication. Owing to copyright restrictions, the papers are not available in electronic form. If you are interested in any of these papers, send me an e-mail and I will send you a reprint.
 
 
A. Ghorbani, Toward a new analytical method for solving nonlinear fractional differential equations, Comput. Meth. Appl. Mech. Engrg. 197 (2008) 4173-4179, IF: 2.626.

A. Ghorbani, J. Saberi-Nadjafi, He’s homotopy perturbation method for calculating Adomian polynomials. Int J Non-linear Sci Numer Simul 2007;8:229–32, IF: 5.099.

A. Ghorbani, Beyond Adomian polynomials: He polynomials, Chaos Solitons Fractals 39 (2009) 1486–1492, IF: 1.503.

J. Saberi-Nadjafi, A. Ghorbani, He’s homotopy perturbation method: An effective tool for solving nonlinear integral and integro differential equations, Comp. Math. Appl., doi:10.1016/j.camwa.2009.03.032, IF: 1.996.

A. Ghorbani, A. Alavi, Application of He’s Variational Iteration Method to Solve Semidifferential Equations of nth-order, Mathematical problems in engineering, Volume 2008, Article ID 627983, 9 pages, IF: 1.082.

A. Ghorbani, J. Saberi-Nadjafi, An effective modification of He’s variational iteration method, Nonlinear Anal. Real Appl. 10 (2009) 2828- 2833, IF:2.338.

J. Saberi-Nadjafi, A. Ghorbani, Solving Fractional Integro-Differential Equations with the Riemann-Liouville Derivatives via He’s Variational Iteration Method, Arab Journal of Mathematics and Mathematical Sciences, Accepted for publication.

J. Saberi-Nadjafi, A. Ghorbani, Piecewise-Truncated Parametric Iteration Method: a Promising Analytical Method for Solving Abel Differential Equations, Z. Naturforsch. 65a, 1-11 (2010), IF: 1.0.

A. Ghorbani, S. Momani, An effective variational iteration algorithm for solving Riccati differential equations, Appl. Math. Lett. (2010), doi:10.1016/j.aml.2010.04.012, IF:1.48.

A. Ghorbani, J. Saberi-Nadjafi, Convergence of He's variational iteration method for nonlinear oscillators, Nonlinear Sci. Lett. A Vol. 1, No, 4, 379-384, 2010.

A. Ghorbani, J. Saberi-Nadjafi, Exact solutions for nonlinear integral equations by a modified homotopy perturbation method, Comp. Math. Appl. 56 (2008) 1032-1039, IF: 1.996.
 
A. Ghorbani, M. Gachpazan and J. Saberi-Nadjafi, A modified parametric iteration method for solving nonlinear second order BVPs, Comput. Appl. Math. (2010), IF: 0.535.
 
A. Ghorbani, J. Saberi-Nadjafi, A piecewise-spectral parametric iteration method for solving the nonlinear chaotic Genesio system, Mathematical and Computer Modelling (2011), doi:10.1016/j.mcm.2011.01.044, IF: 2.020.
 
Jafar Saberi-Nadjafi and Asghar Ghorbani, On convergence of He’s variational iteration method for nonlinear partial differential equations, Accepted for publication (2011).
 
A. Ghorbani, J. Saberi-Nadjafi and M. Gachpazan, A new spectral variational iteration method for solving nonlinear two-point boundary value problems, Accepted for publication (2011)., IF: 000.
 
A. Alavi, A. Ghorbani, An approximate analytical algorithm for solving the multispecies Lotka-Volterra equations, Application and Applied Mathematics: An International Journal, Accepted for publication, (2012).
 
Jafar Saberi-Nadjafi and Asghar Ghorbani, Exact solutions of some types of Fredholm integral equations: He’s VIM combined with finite series, Accepted for publication, (2011).
 
A. Ghorbani, J. Saberi-Nadjafi and M. Gachpazan, An adaptive spectral variational method for solving nonlinear initial value problems, Accepted for publication, (2012).
 
A. Ghorbani, J. Saberi-Nadjafi and M. Gachpazan, A spectral parametric method for nonlinear two-point boundary value problems, Submitted for publication, (2012).
 
 
 
Seminars and Lectures
 
 
A. Alavi, J. Saberi-Nadjafi, A. Ghorbani, An analytical algorithm for unsteady nonlinear convective-radiative equation, 40th Annual Iranian Mathematics Conference, Accepted for Presentation, Sharif Uni. of Technology, 2009.
 
A. Ghorbani, J. Saberi-Nadjafi, An effective iterative analytical algorithm applied to a nonlinear biochemical reaction model, 4th Iranian Conference on Applied Mathematics, Accepted for Presentation, Uni. of Sistan & Baluchestan, 2010.
 
Asghar Ghorbani, How to write a paper?, School of Mathematical Sciences, Ferdowsi Universiy of Mashhad, 2010.
 
 
 
A reviewer in the following international journals
 
 
  • International Journal of Nonlinear Sciences and Numerical Simulation
  • Zeitschrift für Naturforschung A- Physical Sciences
  • Applied Mathematics Letters
  • Bulletin of the Malaysian Mathematical Sciences Society
  • Communications in Numerical methods in engineering
  • Computers & Mathematics with Applications
  • Applications and Applied Mathematics
  • Mathematical and Computer Modelling
  • International Journal of Computer Mathematics
  • Bulletin of the Iranian Mathematical Society
  • Mathematical Methods in the Applied Sciences
  • Journal of Advanced Research in Applied Mathematics
  • Nonlinear Analysis Real World Applications
  • Korean (Jangjeon) Mathematical Society
  • Applied Mathematical Modeling
  • BIT Numerical Mathematics
 

Advisor of PhD Student

 

Hosein Daliri, PhD student in Applied Mathematics, Ferdowsi University of Mashhad, International Campus.  

 
 
Others
 
 
  • I served as a research assistant at Ferdowsi University of Mashhad and Payam-e-Noor University.
  • Long-time working as a tutor.
  • As a teaching assistant at Ferdowsi University of Mashhad, I assisted with Numerical Analysis, Differential Equations and Numerical Calculus.
  • Full-time working as a military project at Jaber High School, Aliabad.
  • English: Fluent in writing and reading, and mediocre in lestening and speaking.
  • I am highly skilled at browsing and using Internet (I believe you can find whatever you want on the Internet).
  • Participation in a workshop on Mathematics Education at Fredowsi University of Mashhad, May 5, 2011.
  • Participation in a workshop on Mathematics at Ferdowsi University of Mashhad, Feb. 5-12, 2011.
  • Computer programming language: C++ and Fortran.
  • Engineering software: Matlab, Maple, Mathematica.
  • General software: Latex, Microsoft Word, PowerPoint, Excel,....
  • Hobbies: Computer & Internet, Mountain hiking, Soccer, People, Different cultures, History, Movies ans Cinema, Reading novels and Traditionary music of various countries.
 
 
 
References
 
 
 
Dr. Jafar Saberi-Nadjafi, Full Professor
 
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
 
 
 
 
Dr. Morteza Gachpazan, Associate Professor
 
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
 
E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it
 
 
 
Last Updated on Sunday, 08 February 2015 08:15