Mehdi Dehghan

34.6k citations

752 papers · 29.7k indexed · 4 hit papers · h-index 85

Modeling and Simulation top 0.01%
- Fractional Differential Equations Solutions 285
Numerical Analysis top 0.01%
- Differential Equations and Numerical Methods 227
- Numerical methods for differential equations 109
- Iterative Methods for Nonlinear Equations 109
Statistical and Nonlinear Physics top 0.02%
Applied Mathematics top 0.02%
- Differential Equations and Boundary Problems 99
Mechanics of Materials top 0.01%
- Numerical methods in engineering 286
Computational Mechanics
- Advanced Numerical Methods in Computational Mathematics 137
Computational Theory and Mathematics
- Matrix Theory and Algorithms 77

Co-authors: Mostafa Abbaszadeh Abbas Saadatmandi Fatemeh Shakeri Masoud Hajarian Akbar Mohebbi Ali Shokri Mehdi Tatari Davoud Mirzaei
Cited by: Modeling and Simulation Numerical Analysis Statistical and Nonlinear Physics
Journals: SHILAP Revista de lepidopterología (1 paper)Journal of Computational Physics (8 papers)Computer Methods in Applied Mechanics and Engineering (10 papers)
Partner nations: Iran United States Canada

In The Last Decade

Mehdi Dehghan

732 papers receiving 28.4k citations

Hit Papers

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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.

2009 Computers & Mathematics with Applications
2009 Numerical Methods for Partial Differential Equations
2008 Mathematics and Computers in Simulation
2006 Mathematics and Computers in Simulation

Peers

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

The 25 scholars most cited alongside Mehdi Dehghan, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Mehdi Dehghan Line = papers co-authored together Mehdi Dehghan links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	Finite block method for nonlinear time-fractional partial integro-differential equations: Stability, convergence, and numerical analysis Applied Numerical Mathematics ·Atiyeh Ghoreyshi,Mostafa Abbaszadeh,Mahmoud A. Zaky,Mehdi Dehghan	2025	9
2	Gradient descent-based parameter-free methods for solving coupled matrix equations and studying an application in dynamical systems Applied Numerical Mathematics ·Akbar Shirilord,Mehdi Dehghan	2025	3
3	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 ·V. Mohammadi,Mehdi Dehghan,H. Mesgarani	2024	3
4	Simulation of the cancer cell growth and their invasion into healthy tissues using local radial basis function method Engineering Analysis with Boundary Elements ·Fatemeh Asadi‐Mehregan,Pouria Assari,Mehdi Dehghan	2024	5
5	An efficient numerical scheme to solve generalized Abel’s integral equations with delay arguments utilizing locally supported RBFs Journal of Computational and Applied Mathematics ·Alireza Hosseinian,Pouria Assari,Mehdi Dehghan	2024	4
6	Iterative algorithm for a generalized matrix equation with momentum acceleration approach and its convergence analysis Journal of the Franklin Institute ·Akbar Shirilord,Mehdi Dehghan	2024	5
7	Isogeometric collocation method to simulate phase-field crystal model International Journal of Numerical Methods for Heat &amp Fluid Flow ·Reza Masoumzadeh,Mostafa Abbaszadeh,Mehdi Dehghan	2024	0
8	Solving 2D damped Kuramoto-Sivashinsky with multiple relaxation time lattice Boltzmann method Applied Numerical Mathematics ·Reza MohammadiArani,Mehdi Dehghan,Mostafa Abbaszadeh	2023	0
9	Error estimates of divergence-free generalized moving least squares (Div-Free GMLS) derivatives approximations in Sobolev spaces Applied Numerical Mathematics ·V. Mohammadi,Mehdi Dehghan	2023	4
10	A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation Applied Numerical Mathematics ·Mostafa Abbaszadeh,Mahmoud A. Zaky,Ahmed S. Hendy,Mehdi Dehghan	2023	5
11	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 ·Hasan Zamani-Gharaghoshi,Mehdi Dehghan,Mostafa Abbaszadeh	2023	8
12	The numerical solution of nonlinear delay Volterra integral equations using the thin plate spline collocation method with error analysis Computational and Applied Mathematics ·Alireza Hosseinian,Pouria Assari,Mehdi Dehghan	2023	8
13	A reduced-order model based on cubic B-spline basis function and SSP Runge–Kutta procedure to investigate option pricing under jump-diffusion models Engineering Analysis with Boundary Elements ·Mostafa Abbaszadeh,Yasmin Kalhor,Mehdi Dehghan,Marco Donatelli	2023	3
14	On the approximate solution of dynamic systems derived from the HIV infection of CD4+T cells using the LRBF-collocation scheme Engineering Analysis with Boundary Elements ·Fatemeh Asadi‐Mehregan,Pouria Assari,Mehdi Dehghan	2023	6
15	Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains Mathematics and Computers in Simulation ·Mostafa Abbaszadeh,Mahmoud A. Zaky,Ahmed S. Hendy,Mehdi Dehghan	2023	7
16	A fast computational algorithm for computing outer pseudo-inverses with numerical experiments Journal of Computational and Applied Mathematics ·Mehdi Dehghan,Akbar Shirilord	2022	6
17	Meshless LocalWeak form Method Based on a CombinedBasis Function for Numerical Investigation of BrusselatorModel and Spike Dynamics in the Gierer-MeinhardtSystem Computer Modeling in Engineering & Sciences ·Mohammad Ilati,Mehdi Dehghan	2015	11
18	The generalised Sylvester matrix equations over the generalised bisymmetric and skew-symmetric matrices International Journal of Systems Science ·Mehdi Dehghan,Masoud Hajarian	2011	43
19	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 ·Mehdi Dehghan,Masoud Hajarian	2011	24
20	Dynamics of rational difference equations containing quadratic terms The Journal of Difference Equations and Applications ·Mehdi Dehghan,Candace M. Kent,Reza Mazrooei‐Sebdani,Norma Ortiz,Hassan Sedaghat	2008	30

About Mehdi Dehghan

Mehdi Dehghan is a scholar working on Numerical Analysis, Modeling and Simulation and Applied Mathematics, having authored 752 papers that have together received 29.7k indexed citations. Recurring topics across this work include Numerical methods in engineering (286 papers), Fractional Differential Equations Solutions (285 papers), Differential Equations and Numerical Methods (227 papers), Advanced Numerical Methods in Computational Mathematics (137 papers), Numerical methods for differential equations (109 papers), Iterative Methods for Nonlinear Equations (109 papers), Differential Equations and Boundary Problems (99 papers) and Matrix Theory and Algorithms (77 papers). The work is most often cited by research in Modeling and Simulation (15.6k citations), Numerical Analysis (16.1k citations) and Statistical and Nonlinear Physics (6.7k citations). Mehdi Dehghan has collaborated with scholars based in Iran, United States and Canada. Frequent co-authors include Mostafa Abbaszadeh, Abbas Saadatmandi, Fatemeh Shakeri, Masoud Hajarian, Akbar Mohebbi, Ali Shokri, Mehdi Tatari, Davoud Mirzaei, Jalil Manafian and Mehrdad Lakestani. Their work appears in journals such as SHILAP Revista de lepidopterología, Journal of Computational Physics and Computer Methods in Applied Mechanics and Engineering.

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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