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Publications

Journal Papers

2013

  • (with F. Ghasemi) The Galerkin boundary node method for magneto-hydrodynamic (MHD) equation, Journal of Computational Physics, Available online 7 November 2013.
  • (with M. Haghighi) A generalized Laguerre-Legendre spectral collocation method for solving initial-boundary value problems, Applied Mathematical Modelling, Available online 21 August 2013.
  • (With M. Kamranian and M. Dehghan) An Image denoising technique based on a meshfree method and domain decomposition, to appear in Engineering Analysis with Boundary Elements.  

    2012

  • (with M. Dehghan) An efficient method for solving multi-point boundary value problems and applications in physics, Journal of Vibration and Control, 18 (2012), 1116–1124.
  • (with M. Kamranian and M. Dehghan) The Finite Point Method for Reaction–Diffusion Systems in Developmental Biology, Computer Modeling in Engineering & Sciences, 82 (2012), 1-27.
  • (with B. Sepehrian, M. Alibakhshi)  New implementation of radial basis functions for solving Burgers-Fisher equation, 28 (2012),248–262.

2011

  • (with M. Kamranian and M. Dehghan) The finite point method for the p-Laplace equation, Computational Mechanic, 48 (2011), 689–697.
  • (with M. Dehghan, A. Azizi) The solution of the Falkner-Skan equation arising in the modelling boundary-layer problems via variational iteration method, International Journal of Numerical Methods for Heat and Fluid Flow, 21 (2011),136-149.
  • A new effcient technique for finding the solution of initial-value problems using He's variational iteration method, International  Journal for Numerical Methods in Biomedical Engineering 27 (2011), 1376–1384.
  • (with M. Dehghan and M. Haghighi) Adomian decomposition and variational iteration methods for solving a problem arising in modelling of biological species living together, Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences 66 (2011),  93-105.

2010

  • (with M. Dehghan ) A method for solving partial differential equations via radial basis functions: Application to the heat equation, Engineering Analysis with Boundary Elements 34 (2010), 206-212.
  • (with M. Dehghan )  On the Reconstruction of the First Term in the Variational Iteration Method for Solving Differential Equations, Zeitschrift für Naturforschung 65a (2010), 203-208.
  • (with M. Dehghan ) Finding approximate solutions for a class of third-order non-linear boundary value problems via the decomposition method of Adomian, International Journal of Computer Mathematics 87 (2010), 1256-1263.

2009

  • (with M. Dehghan ) On the solution of the non-local parabolic partial differential equations via radial basis functions, Applied Mathematical Modelling 33 (2009), 1729-1738.
  • (with M. Dehghan ) Improvement of He's variational iteration method for solving systems of differential equations, Computers and Mathematics with Applications 58 (2009), 2160-2166.

2008

  • (with M. Dehghan ) Identifying an unknown function in a parabolic equation with overspecifed data via Hes variational iteration method, Chaos, Solitons and Fractals 36 (2008), 157-166.
  • (with M. Dehghan ) Use of radial basis functions for solving the secondorder parabolic equation with nonlocal boundary conditions, Numerical Methods for Partial Differential Equations 24 (2008), 924-938.
  • (with M. Dehghan and M. Razzaghi) Numerical solution of the one-dimensional heat equation on the bounded interv als using fundamental solutions, Numerical Methods for Partial Differential Equations 24 (2008), 911-923.

2007

  • (with M. Dehghan ) Identifying a control function in parabolic partial differential equations from overspecifed boundary data, Computers and Mathematics with Applications 53 (2007), 1933-1942.
  • (with M. Dehghan and M. Razzaghi) Application of the Adomian decomposition method for the F okker-Planck equation, Mathematical and Computer Modelling 45 (2007), 639-650.
  • (with M. Dehghan ) Solution of problems in calculus of variations via Hes variational iteration method, Physics Letters A 362 (2007), 401-406.
  • (with M. Dehghan ) He's variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation, Chaos, Solitons and Fractals 33 (2007) 671-677.
  • (with M. Dehghan ) On the convergence of Hes variational iteration method, Journal of Computational and Applied Mathematics 207 (2007), 121-128.
  • (with M. Dehghan ) Solution of a semilinear parabolic equation with an unknown control function using the decomposition procedure of Adomian, Numerical Methods for Partial Differential Equations 23 (2007), 499-510.
  • (with M. Dehghan ) The radial basis functions method for identifying an unknown parameter in a parabolic equation with overspeciffed data, Numerical Methods for Partial Differential Equations 23 (2007), 984-997.

2006

  • (with M. Dehghan ) The use of the Adomian decomposition method for solving a parabolic equation with temperature overspecifcation, Physica Scripta 73 (2006), 240-245.
  • (with M. Dehghan and M. Razzaghi) Determination of a time-dependent parameter in a one dimensional quasi-linear parabolic equation with temperature overspecifcation, International Journal of Computer Mathematics 83 (2006(, 905-913.
  • (with M. Dehghan ) Determination of a control parameter in a onedimensional parabolic equation using the method of radial basis functions, Mathematical and Computer Modelling 44 (2006), 1160-1168.
  • (with M. Dehghan ) The use of Adomian decomposition method for solving problems in calculus of variations, Mathematical Problems in Engineering,Article ID 65379, DOI 10.1155/MPE/2006/65379 pages 1-12.
  • (with M. Dehghan ) The use of Hes variational iteration method for solving a FokkerPlanck equation, Physica Scripta 74 (2006), 310-316.
  • (with M. Dehghan ) The use of the Adomian decomposition method for solving multi-point boundary value problems, Physica Scripta 73 (2006), 672-676.

2005

  • (with M. Dehghan ) Numerical solution of Laplace equation in a disk using the Adomian decomposition method, Physica Scripta 72 (2005), 345-348.
  • (with M. Dehghan ) Solution of a parabolic equation with a time-dependent coeffcient and an extra measurement using the decomposition procedure of Adomian, Physica Scripta 72 (2005), 425-431.

Conference Papaers

  • A localized interpolation method using radial basis functions, World Academy of Science, Engineering and Technology, The Netherlands, 69 2010.
  • (with F. Ghasemi) The Galerkin boundary node method for convection-diffusion equation, 4th Conference on Mathematical Analysis and its Applications, Faculty of Mathematics and Computer, Khansar, Iran, May 7-8, 2013.
  • (With Kamranian and Dehghan) Stability analysis for the finite point method for solving 2-D heat equation, 4th Conference on Mathematical Analysis and its Applications, Faculty of Mathematics and Computer, Khansar, Iran, May  7-8, 2013.
  • (With Jamali) Discontinuous Galerkin method for stiff ordinary differential equations, 10th Conference on Differential Equations and Dynamical Systems, University of Mazandaran, Babolsar, Iran, November  6-7, 2013.