Mehdi Dehghan

34.6k total citations · 4 hit papers
752 papers, 29.7k citations indexed

About

Mehdi Dehghan is a scholar working on Numerical Analysis, Modeling and Simulation and Mechanics of Materials. According to data from OpenAlex, Mehdi Dehghan has authored 752 papers receiving a total of 29.7k indexed citations (citations by other indexed papers that have themselves been cited), including 409 papers in Numerical Analysis, 295 papers in Modeling and Simulation and 288 papers in Mechanics of Materials. Recurrent topics in Mehdi Dehghan's work include Numerical methods in engineering (286 papers), Fractional Differential Equations Solutions (285 papers) and Differential Equations and Numerical Methods (227 papers). Mehdi Dehghan is often cited by papers focused on Numerical methods in engineering (286 papers), Fractional Differential Equations Solutions (285 papers) and Differential Equations and Numerical Methods (227 papers). Mehdi Dehghan collaborates with scholars based in Iran, United States and Canada. Mehdi Dehghan's co-authors include Mostafa Abbaszadeh, Abbas Saadatmandi, Fatemeh Shakeri, Masoud Hajarian, Akbar Mohebbi, Ali Shokri, Mehdi Tatari, Davoud Mirzaei, Jalil Manafian and Mehrdad Lakestani and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Computational Physics and Computer Methods in Applied Mechanics and Engineering.

In The Last Decade

Mehdi Dehghan

732 papers receiving 28.4k citations

Hit Papers

align trajectories sort by overperformance

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

A new operational matrix for solving fractional-order differential equations

2009 675 citations Mehdi Dehghan et al. profile →
Solving nonlinear fractional partial differential equations using the homotopy analysis method

2009 601 citations Mehdi Dehghan et al. profile →
Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices

2006 393 citations Mehdi Dehghan profile →
A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions

2008 354 citations Mehdi Dehghan, Ali Shokri profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Mehdi Dehghan Iran	85	16.1k	15.6k	9.6k	6.7k	5.2k	752	29.7k
Abdul–Majid Wazwaz United States	92	8.4k 0.5×	17.3k 1.1×	2.2k 0.2×	26.0k 3.9×	917 0.2×	736	34.3k
Jie Shen United States	65	5.7k 0.4×	2.8k 0.2×	1.9k 0.2×	1.5k 0.2×	10.1k 2.0×	292	18.9k
Wen Chen China	54	2.4k 0.1×	4.4k 0.3×	5.6k 0.6×	1.4k 0.2×	1.5k 0.3×	350	12.1k
S. Abbasbandy Iran	66	4.2k 0.3×	7.4k 0.5×	1.5k 0.2×	2.1k 0.3×	3.0k 0.6×	389	14.6k
Francesco Mainardi Italy	53	5.3k 0.3×	12.0k 0.8×	3.5k 0.4×	3.0k 0.4×	336 0.1×	155	16.3k
H. M. Srivastava Canada	76	5.7k 0.4×	9.1k 0.6×	1.2k 0.1×	3.9k 0.6×	476 0.1×	1.4k	33.2k
Shijun Liao China	62	5.3k 0.3×	9.8k 0.6×	1.6k 0.2×	3.1k 0.5×	6.2k 1.2×	263	19.4k
Lloyd N. Trefethen United Kingdom	54	3.8k 0.2×	1.2k 0.1×	1.4k 0.1×	2.7k 0.4×	5.4k 1.0×	175	17.4k
Abdon Atangana South Africa	72	6.0k 0.4×	18.0k 1.2×	1.6k 0.2×	5.3k 0.8×	544 0.1×	358	21.1k
Ravi P. Agarwal United States	71	12.7k 0.8×	9.3k 0.6×	784 0.1×	1.3k 0.2×	501 0.1×	1.2k	28.0k

Countries citing papers authored by Mehdi Dehghan

Since Specialization

Citations

This map shows the geographic impact of Mehdi Dehghan's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Mehdi Dehghan with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mehdi Dehghan more than expected).

Fields of papers citing papers by Mehdi Dehghan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mehdi Dehghan. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Mehdi Dehghan. The network helps show where Mehdi Dehghan may publish in the future.

Co-authorship network of co-authors of Mehdi Dehghan

This figure shows the co-authorship network connecting the top 25 collaborators of Mehdi Dehghan. A scholar is included among the top collaborators of Mehdi Dehghan based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Mehdi Dehghan. Mehdi Dehghan is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Ghoreyshi, Atiyeh, Mostafa Abbaszadeh, Mahmoud A. Zaky, & Mehdi Dehghan. (2025). Finite block method for nonlinear time-fractional partial integro-differential equations: Stability, convergence, and numerical analysis. Applied Numerical Mathematics. 214. 82–103. 9 indexed citations

Ghoreyshi, Atiyeh, Mostafa Abbaszadeh, Mahmoud A. Zaky, & Mehdi Dehghan. (2025). An accurate and robust numerical method for solving distributed-order space–time fractional PDEs. Zeitschrift für angewandte Mathematik und Physik. 76(6).

Mohammadi, V., et al.. (2024). The localized RBF interpolation with its modifications for solving the incompressible two-phase fluid flows: A conservative Allen–Cahn–Navier–Stokes system. Engineering Analysis with Boundary Elements. 168. 105908–105908. 3 indexed citations

Assari, Pouria, et al.. (2024). Simulation of the cancer cell growth and their invasion into healthy tissues using local radial basis function method. Engineering Analysis with Boundary Elements. 163. 56–68. 5 indexed citations

Assari, Pouria, et al.. (2024). An efficient numerical scheme to solve generalized Abel’s integral equations with delay arguments utilizing locally supported RBFs. Journal of Computational and Applied Mathematics. 446. 115867–115867. 4 indexed citations

Shirilord, Akbar & Mehdi Dehghan. (2024). Stationary Landweber method with momentum acceleration for solving least squares problems. Applied Mathematics Letters. 157. 109174–109174. 5 indexed citations

Adibi, Hojatollah, et al.. (2024). Computational study based on the Laplace transform and local discontinuous Galerkin methods for solving fourth-order time-fractional partial integro-differential equations with weakly singular kernels. Computational and Applied Mathematics. 43(6). 2 indexed citations

Abbaszadeh, Mostafa, et al.. (2024). Isogeometric collocation method to simulate phase-field crystal model. International Journal of Numerical Methods for Heat & Fluid Flow. 34(9). 3493–3514.

Assari, Pouria, et al.. (2024). Numerical simulation of spatio-temporal spread of an infectious disease utilizing a collocation method based on local radial basis functions. Engineering With Computers. 40(4). 2473–2496. 2 indexed citations

10.

Dehghan, Mehdi, et al.. (2023). Solving 2D damped Kuramoto-Sivashinsky with multiple relaxation time lattice Boltzmann method. Applied Numerical Mathematics. 196. 83–103.

11.

Mohammadi, V. & Mehdi Dehghan. (2023). Error estimates of divergence-free generalized moving least squares (Div-Free GMLS) derivatives approximations in Sobolev spaces. Applied Numerical Mathematics. 192. 373–388. 4 indexed citations

12.

Abbaszadeh, Mostafa, Mahmoud A. Zaky, Ahmed S. Hendy, & Mehdi Dehghan. (2023). A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation. Applied Numerical Mathematics. 187. 262–276. 5 indexed citations

13.

Dehghan, Mehdi, et al.. (2023). Numerical solution of Allen–Cahn model on surfaces via an effective method based on generalized moving least squares (GMLS) approximation and the closest point approach. Engineering Analysis with Boundary Elements. 152. 575–581. 8 indexed citations

14.

Dehghan, Mehdi & Akbar Shirilord. (2022). A fast computational algorithm for computing outer pseudo-inverses with numerical experiments. Journal of Computational and Applied Mathematics. 408. 114128–114128. 6 indexed citations

15.

Mohammadi, V. & Mehdi Dehghan. (2021). A divergence-free generalized moving least squares approximation with its application. Applied Numerical Mathematics. 162. 374–404. 12 indexed citations

16.

Abbaszadeh, Mostafa, et al.. (2018). The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system. Computational methods for differential equations. 6(2). 215–237. 5 indexed citations

17.

Dehghan, Mehdi, et al.. (2017). Generalized Bessel functions: Theory and their applications. Mathematical Methods in the Applied Sciences. 40(18). 6389–6410. 11 indexed citations

18.

Dehghan, Mehdi, Mostafa Abbaszadeh, & Akbar Mohebbi. (2015). Meshless Local Petrov-Galerkin and RBFs CollocationMethods for Solving 2D Fractional Klein-KramersDynamics Equation on Irregular Domains. Computer Modeling in Engineering & Sciences. 107(6). 481–516. 11 indexed citations

19.

Shokri, Ali & Mehdi Dehghan. (2012). A Meshless Method Using Radial Basis Functions for the Numerical Solution of Two-Dimensional Complex Ginzburg-Landau Equation. Computer Modeling in Engineering & Sciences. 84(4). 333–358. 65 indexed citations

20.

Dehghan, Mehdi & Masoud Hajarian. (2011). THE (R,S)-SYMMETRIC AND (R,S)-SKEW SYMMETRIC SOLUTIONS OF THE PAIR OF MATRIX EQUATIONS A1XB1 = C1 AND A2XB2 = C2. Bulletin of the Iranian Mathematical Society. 37(3). 269–279. 24 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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