Dr. Mahboubeh Molavi-Arabshahi

Assistant Professor at Iran University of Science and Technology

School of Mathematics

 

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Journal Papers

  1. M. Dehghan and M. Molavi Arabshahi, A simple form for the fourth-order difference method for 3-D elliptic equations, Applied Mathematics and Computation 184, (2007) 589-598.
  2. M. Dehghan and M. Molavi Arabshahi, Comparison of preconditioning techniques for solving linear systems arising from the fourth-order approximation of the 3-D elliptic equation, Applied Mathematics and Computation 184, (2007) 156-172.
  3. M. Molavi Arabshahi and M. Dehghan, Preconditioned techniques for solving large sparse linear systems arising in the 2-D elliptic partial differential equations, Applied Mathematics and Computation, 188, (2007) 1371-1388.

4.      A. Golbabai, B. Keramati and M.M. Arabshahi, Homotopy perturbation applied to system of Feredholm integral equations of the first kind, IUST International Journal of Engineering Science, Vol.18, 1-2, 2007, page 27-30.

5.      A. Golbabai and M.M. Arabshahi, Applying preconditioned methods in solution of systems related to2-D parabolic Equations, Sofia International Conference and Workshop on Mathematics, International Journal of Pure and Applied Mathematics 49, No. 4, 475-487, 2008.

6.      A. Golbabai and M.M. Arabshahi, A Numerical method for diffusion–convection equation using high-order difference schemes, Computer Physics Communications, 181(2010), 1224-1230.

7.      A. Golbabai and M.M. Arabshahi, "Smart Numerov Generalized Alternating Group Explicit (SNAGE-PR (2)) Method for 2-Point B.V. Problem", World Applied Sciences Journal 8(3):267-273, 2010.

8.      A.Golbabai and M.M. Arabshahi, "On the behavior of high-order compact approximations in the one-dimensional sine–Gordon equation ", Phys. Scr. 82 (2011) 000000 (6pp).

  1. A.Golbabai and M.M. Arabshahi, "On behavior of preconditioned methods for a class of compact finite difference schemes in solution of hyperbolic equations", The Journal of Mathematics and Computer Science (JMCS), Volume 3, Issue 1 (2011), 21 – 34.
  2. A.Golbabai and M.M. Arabshahi, "On the behavior of combination high-order compact approximations with preconditioned methods in the Diffusion-Convection equation", Applied Mathematics, (2011), 2, 1462-1468.
  3. M.M. Arabshahi, "On behavior of preconditioned methods for a class of compact finite difference schemes in solution of hyperbolic equations", International Journal of Applied Mathematics and Computation 4(3) (2012), 104-114.

12.  M.M. Arabshahi, "Studying the effect of preconditioner scheme on the solution of Convection Diffusion equations", Asian Journal of Scientific Research, 2013.

  1. M. Molavi-Arabshahi, K. Arpe, S. A. G. Leroy, Precipitation and temperature of the Southwest Caspian Sea during the last 56 years, their trends and teleconnections with large-scale atmospheric phenomena, International journal of climatology, 2015.

Conferences papers, Participation at Conferences

  1. M. Dehghan and M.M Arabshahi, Application of preconditioners for solving un-symmetric linear systems arising in fourth-order approximation for elliptic equations, 37-th annual Iranian Mathematics Conference, Tabriz, 2-6 September 2006.
  2. A. Golbabai and M.M. Arabshahi, Applying preconditioned methods in solution of systems related to2-D parabolic Equations, Sofia International Conference and Workshop on Mathematics, International Journal of Pure and Applied Mathematics 49, No. 4, 475-487, 2008.
  3. A.Golbabai and M.M. Arabshahi, Efficiency of Preconditioners in Solution of Hyperbolic Equations, Marrakesh International Conference and Workshop on Mathematical Biology, 3-8 January 2008.
  4. A.Golbabai and M.M. Arabshahi, Application of preconditioners for solving systems arising in fourth-order approximation for parabolic equations, 39-th annual Iranian Mathematics Conference.
  5. A.Golbabai and M.M. Arabshahi, Applying compact high-order approximation in solution of one space second order hyperbolic equations, 40-th annual Iranian Mathematics Conference.
  6. A.Golbabai and M.M. Arabshahi, Block Preconditioned Methods in Solution of Hyperbolic Equations, The 19th International Symposium on Mathematical Theory of Networks and Systems 5-9 July 2010, Budapest, Hungary.
  7. A. Golbabai and M.M. Arabshahi, One Scheme for Linearization of the One dimensional Sine-Gordon Equation, ICIAM 2011 -- 7th International Congress on Industrial and Applied Mathematics July 18 – 22, 2011, Vancouver, BC, Canada.
  8. A. Golbabai and M.M. Arabshahi, Joint Multigrid and Collocation Methods in Solution of the Hyperbolic Equation, ICIAM 2011 -- 7th International Congress on Industrial and Applied Mathematics July 18 – 22, 2011, Vancouver, BC, Canada.
  9. M. Molavi-Arabshahi, CONSIDERATION OF SOME CLIMATE PARAMETERS USING STATISTICAL INDEXES CASE STUDY: WEST OF CASPIAN SEA, 1 St international academic conference on climate change and sustainable Heritage in Graz, Austria on 18-20 February 2015.