**American Journal of Mathematics and Statistics**

American Journal of Mathematics and Statistics is to publish well-written original research articles and studies describing the latest research and developments in the field of mathematics and statistics. This is a broad-based journal covering all branches of mathematics, statistics and interdisciplinary research.

**p-ISSN:**2162-948X**e-ISSN:**2162-8475**Website:**http://journal.sapub.org/ajms

## Solat Karimi Vanani

**Editorial Board Member of**

*American Journal of Mathematics and Statistics*Assistant Professor, I.A.U., Shahrekord Branch, Iran

**Research Areas**

Numerical Analysis

### Education

2011 | Ph.D | Applied mathematics, Numerical analysis, K.N. Toosi University of Technology, Tehran, Iran |

2007 | M.Sc | Applied mathematics, Numerical analysis, K.N., Toosi University of Technology, Tehran, Iran |

2005 | B.Sc | Pure mathematics, University of Shahrekord, Shahrekord, Iran |

### Experience

2008-2011 | K.N. Toosi University of Technology, Tehran, Iran: Assistant of Mathematics |

2008-2011 | Petroleum University of Technology, Ahwaz, Iran: Assistant of Mathematics |

2007-2008 | University of Payamnour, Shahrekord, Iran: Assistant of Mathematics |

2007-2008 | University of Applied Science and Technology, Shahrekord, Iran: Assistant of Mathematics |

### Academic Achievement

Entering to PhD without exam as a member of outstanding talents of Iran |

Winner of a Scholarship from Swedish Institute |

First student in M.Sc. and Ph.D. levels |

### Membership

Membership of International Association of Engineering (IAENG) |

### Publications: Conferences/Workshops/Symposiums/Journals/Books

[1] | S. Karimi Vanani and A. Aminataei, Tau approximate solution of fractional partial differential equations, Computers and Mathematics with Applications 62 (2011) 1075-1083. |

[2] | S. Karimi Vanani and F. Soleymani, Application of the homotopy perturbation method for the Burgers equation with delay, Chinese Physics Letters, in press. |

[3] | S. Karimi Vanani, F. Soleymani and M. Khan, Tau approximate solution of weakly singular Volterra integral equations, Mathematical and Computer Modelling, in press. |

[4] | F. Soleymani, S.K. Khattri and S. Karimi Vanani, Two New Classes of Optimal Jarratt-Type Fourth-Order Methods, Applied Mathematics Letters, in press. |

[5] | S. Karimi Vanani and A. Aminataei, Numerical solution of differential algebraic equations using multiquadric approximation scheme, Mathematical and Computer Modelling 53 (2011) 659-666. |

[6] | S. Karimi Vanani and A. Aminataei, A numerical algorithm for the space and time fractional Fokker-Planck equation, Journal of Numerical Methods for Heat and Fluid Flow, in press. |

[7] | S. Karimi Vanani , A. Yildirim, F. Soleymani, M. Khan and S. Tutkun, Solution of the heat equation in the cast-mould heterogeneous domain using a weighted algorithm based on the homotopy perturbation method, Journal of Numerical Methods for Heat and Fluid Flow, in press. |

[8] | S. Karimi Vanani and A. Aminataei, Operational Tau approximation for a general class of fractional integro-differential equations, Computational Applied Mathematics 30 (3) (2011) 1-20. |

[9] | S. Karimi Vanani and A. Aminataei, Numerical solution of Volterra integro-differential equations, Journal of Computational Analysis and Applications 13 (2011) 654-662. |

[10] | S. Karimi Vanani and A. Yildirim, F. Soleymani and M. Khan, A numerical algorithm for solving nonlinear delay Volterra integral equations by means of homotopy perturbation method, International Journal of Nonlinear Sciences and Numerical Simulation, in press. |

[11] | F. Soleymani and S. Karimi Vanani, Optimal Steffensen-type methods with eighth-order of convergence, Computers and Mathematics with Applications 62 (12) (2011) 4619-4626. |

[12] | F. Soleymani, S. Karimi Vanani and A. Afghani, A General Three-Step Class of Optimal Iterations for Nonlinear Equations, Mathematical Problems in Engineering 2011 (2011) Article ID:469512, 10 pages. |

[13] | A.S. Arife, S. Karimi Vanani and F. Soleymani, The Laplace homotopy analysis method for solving a general fractional diffusion equation arising in Nano-Hydro dynamics, Journal of Computational and Theoretical Nanoscience, in press. |

[14] | F. Soleymani, S. Karimi Vanani, M. Khan and M.Sharf, Some Modifications of King’s Family with Optimal Eighth Order of Convergence, Mathematical and Computer Modelling , in press. |

[15] | F. Soleymani and S. Karimi Vanani, Optimal Steffensen-type methods with eighth-order of convergence, Computers and Mathematics with Applications , in press. |

[16] | S. Karimi Vanani and A. Aminataei, Numerical solution of fractional ordinary and partial differential equations by an operational technique, Journal of Computational Analysis and Applications, in press. |

[17] | F. Soleymani, S. Karimi Vanani and M.J. Paghaleh, A class of three-step derivative-free root solvers with optimal convergence order, Journal of Applied Mathematics, in press. |

[18] | M. Khan, M.A. Gondal, I. Hussain and S. Karimi Vanani, A new comparative study between homotopy analysis transform method and homotopy perturbation transform method on semi infinite domain, Mathematical and Computer Model ling, in press. |

[19] | S. Karimi Vanani and A. Aminataei, On the numerical solution of fractional partial differential equations, Mathematical and Computational Applications, in press. |

[20] | S. Karimi Vanani and A. Aminataei, On the numerical solution of differential equations of Lane-Emden type, Computers and Mathematics with Applications, 59 (2010) 2815-2820. |

[21] | S. Karimi Vanani and A. Aminataei, On the numerical solution of nonlinear delay differential equations, Journal of Concrete and Applicable Mathematics 8 (2010) 568-576.S. Karimi Vanani and A. Aminataei, On the numerical solution of delay differential systems, Journal of Applied Functional Analysis 5 (2010) 169-176. |

[22] | S. Karimi Vanani and A. Aminataei, Multiquadric approximation scheme on the numerical solution of delay diﬁerential systems of neutral type, Mathematical and Computer Model ling 49 (2009) 234-241. |

[23] | S. Karimi Vanani and A. Aminataei, On the numerical solution of functional differential equations, Journal of Concrete and Applicable Mathematics 7 (2009) 54-63. |

[24] | S. Karimi Vanani and A. Aminataei, On the numerical solution of neutral delay differential equations using multiquadric approximation scheme, Bulletin of the Korean Mathematical Society 45 (2008) 663-670. |