H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 95 Citations 31,088 664 World Ranking 26 National Ranking 1
Engineering and Technology H-index 78 Citations 19,655 505 World Ranking 145 National Ranking 1

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Computer network
  • Quantum mechanics

His primary areas of study are Mathematical analysis, Numerical analysis, Partial differential equation, Nonlinear system and Differential equation. His studies in Mathematical analysis integrate themes in fields like Singular boundary method and Regularized meshless method. The Numerical analysis study combines topics in areas such as Soliton, Fractional calculus, Constant and Integral equation.

His work carried out in the field of Partial differential equation brings together such families of science as Initial value problem, Finite difference, Homotopy analysis method, Applied mathematics and Diffusion equation. His work deals with themes such as Discretization, Collocation and Radial basis function, which intersect with Nonlinear system. His Differential equation study integrates concerns from other disciplines, such as Legendre's equation and Lane–Emden equation.

His most cited work include:

  • A NEW OPERATIONAL MATRIX FOR SOLVING FRACTIONAL-ORDER DIFFERENTIAL EQUATIONS (520 citations)
  • Solving nonlinear fractional partial differential equations using the homotopy analysis method (435 citations)
  • Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices (349 citations)

What are the main themes of his work throughout his whole career to date?

Mehdi Dehghan mainly investigates Mathematical analysis, Applied mathematics, Partial differential equation, Nonlinear system and Numerical analysis. His Mathematical analysis study combines topics in areas such as Singular boundary method and Regularized meshless method. Mehdi Dehghan works mostly in the field of Applied mathematics, limiting it down to topics relating to Discretization and, in certain cases, Fractional calculus.

His studies deal with areas such as Collocation method and Radial basis function as well as Nonlinear system. Mehdi Dehghan focuses mostly in the field of Numerical analysis, narrowing it down to matters related to Quadrature and, in some cases, Numerical integration. His Differential equation study combines topics from a wide range of disciplines, such as Initial value problem and Recurrence relation.

He most often published in these fields:

  • Mathematical analysis (51.84%)
  • Applied mathematics (20.11%)
  • Partial differential equation (16.44%)

What were the highlights of his more recent work (between 2017-2021)?

  • Applied mathematics (20.11%)
  • Discretization (9.66%)
  • Convergence (7.24%)

In recent papers he was focusing on the following fields of study:

His primary areas of investigation include Applied mathematics, Discretization, Convergence, Mathematical analysis and Moving least squares. Mehdi Dehghan combines subjects such as Galerkin method, Nonlinear system, Finite difference, Partial differential equation and Numerical analysis with his study of Applied mathematics. His research integrates issues of Radial basis function, Collocation method, Interpolation, Integral equation and Ode in his study of Nonlinear system.

His Numerical analysis research is multidisciplinary, relying on both Biconjugate gradient method and Finite element method. The study incorporates disciplines such as Fractional calculus, Spectral element method, Current, Space and Variable in addition to Discretization. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Regularized meshless method, Boundary element method, Boundary, Element free galerkin and Anisotropy.

Between 2017 and 2021, his most popular works were:

  • An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch–Torrey equations (48 citations)
  • A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation (42 citations)
  • A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed-order fractional damped diffusion-wave equation (41 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Computer network
  • Quantum mechanics

The scientist’s investigation covers issues in Applied mathematics, Convergence, Discretization, Galerkin method and Mathematical analysis. He has researched Applied mathematics in several fields, including Current, Numerical analysis, Finite difference and Finite element method. The Convergence study which covers Gaussian quadrature that intersects with Convection–diffusion equation, Computer simulation and Magnetohydrodynamics.

His Discretization research includes elements of Function and Mixed finite element method, Spectral element method. The concepts of his Galerkin method study are interwoven with issues in Moving least squares, Partial differential equation, Robin boundary condition, Diffusion equation and Rate of convergence. Mehdi Dehghan has included themes like Regularized meshless method and Algebraic equation in his Mathematical analysis study.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

A NEW OPERATIONAL MATRIX FOR SOLVING FRACTIONAL-ORDER DIFFERENTIAL EQUATIONS

Abbas Saadatmandi;Mehdi Dehghan.
Computers & Mathematics With Applications (2010)

680 Citations

Solving nonlinear fractional partial differential equations using the homotopy analysis method

Mehdi Dehghan;Jalil Manafian;Abbas Saadatmandi.
Numerical Methods for Partial Differential Equations (2010)

484 Citations

Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices

Mehdi Dehghan.
Mathematics and Computers in Simulation (2006)

380 Citations

A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions

Mehdi Dehghan;Ali Shokri.
Mathematics and Computers in Simulation (2008)

340 Citations

On the convergence of He's variational iteration method

Mehdi Tatari;Mehdi Dehghan.
Journal of Computational and Applied Mathematics (2007)

325 Citations

Computational methods for solving fully fuzzy linear systems

Mehdi Dehghan;Behnam Hashemi;Mehdi Ghatee.
Applied Mathematics and Computation (2006)

304 Citations

Solution of delay differential equations via a homotopy perturbation method

Fatemeh Shakeri;Mehdi Dehghan.
Mathematical and Computer Modelling (2008)

293 Citations

Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions

Mehdi Dehghan;Ali Shokri.
Journal of Computational and Applied Mathematics (2009)

280 Citations

Approximate solution of a differential equation arising in astrophysics using the variational iteration method

Mehdi Dehghan;Fatemeh Shakeri.
New Astronomy (2008)

233 Citations

SOLUTION OF AN INTEGRO-DIFFERENTIAL EQUATION ARISING IN OSCILLATING MAGNETIC FIELDS USING HE'S HOMOTOPY PERTURBATION METHOD

Mehdi Dehghan;Fatemeh Shakeri.
Progress in Electromagnetics Research-pier (2008)

215 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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