Asghar Ghorbani
Ph.D of Numerical Analysis
Department of Applied Mathematics School of Mathematical Sciences
Ferdowsi University of Mashhad, Mashhad, Iran
My ResearcherID: http://www.researcherid.com/rid/A-6506-2011
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:
Award/Prizes/Highlights
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
Advisor of PhD Student
Hosein Daliri, PhD student in Applied Mathematics, Ferdowsi University of Mashhad, International Campus.Others
References
Dr. Jafar Saberi-Nadjafi, Full Professor
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
E-mail:
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Dr. Morteza Gachpazan, Associate Professor
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
E-mail:
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Last Updated on Sunday, 08 February 2015 08:15 |