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Mehrdad Lakestani

Mehrdad Lakestani

D-Index & Metrics

Mathematics

D-Index
33
Citations
3473
World Ranking
3079
National Ranking
30

Overview

Mehrdad Lakestani is affiliated with the University of Tabriz in Iran. Their research primarily lies within the field of Mathematics, with a focus on various subfields such as Numerical Analysis, Modeling and Simulation, Statistical and Nonlinear Physics, Computer Vision and Pattern Recognition, and Computational Mechanics.

Their work covers several main topics including Fractional Differential Equations Solutions, Differential Equations and Numerical Methods, Nonlinear Waves and Solitons, Iterative Methods for Nonlinear Equations, Image and Signal Denoising Methods, Nonlinear Photonic Systems, and Advanced Image Processing Techniques.

Frequent publication venues for Lakestani's research include Mathematical Methods in the Applied Sciences, SSRN Electronic Journal, Optimal Control Applications and Methods, Computational and Applied Mathematics, and Computational methods for differential equations.

Coauthors who often collaborate with Lakestani are:

  • Jalil Manafian
  • Farshid Nourian
  • Elmira Ashpazzadeh
  • Sedigheh Sabermahani
  • Yadollah Ordokhani

Some of Lakestani's recent papers include:

  • N-lump and interaction solutions of localized waves to the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation (2020), published in Journal of Geometry and Physics
  • Fractional order Alpert multiwavelets for discretizing delay fractional differential equation of pantograph type (2021), published in Applied Numerical Mathematics
  • Breather Wave Solutions for the (3+1)-D Generalized Shallow Water Wave Equation with Variable Coefficients (2023), published in Qualitative Theory of Dynamical Systems
  • Interaction among a lump, periodic waves, and kink solutions to the fractional generalized CBS-BK equation (2020), published in Mathematical Methods in the Applied Sciences
  • Biorthogonal multiwavelets on the interval for solving multidimensional fractional optimal control problems with inequality constraint (2020), published in Optimal Control Applications and Methods

Best Publications

  • THE CONSTRUCTION OF OPERATIONAL MATRIX OF FRACTIONAL DERIVATIVES USING B-SPLINE FUNCTIONS

    Mehrdad Lakestani;Mehdi Dehghan;Safar Irandoust-pakchin

  • Optical solitons with Biswas-Milovic equation for Kerr law nonlinearity

    Jalil Manafian;Mehrdad Lakestani

  • Numerical solution of telegraph equation using interpolating scaling functions

    Mehrdad Lakestani;Behzad Nemati Saray

  • Abundant soliton solutions for the Kundu–Eckhaus equation via tan(ϕ(ξ))-expansion method

    Jalil Manafian;Mehrdad Lakestani

  • Numerical solutions of the generalized Kuramoto–Sivashinsky equation using B-spline functions

    Mehrdad Lakestani;Mehdi Dehghan

  • SEMIORTHOGONAL SPLINE WAVELETS APPROXIMATION FOR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

    M Lakestani;M Razzaghi;M Dehghan

  • The use of Chebyshev cardinal functions for solution of the second‐order one‐dimensional telegraph equation

    Mehdi Dehghan;Mehrdad Lakestani

  • Optical soliton solutions for the Gerdjikov-Ivanov model via tan(ϕ/2)-expansion method

    Jalil Manafian;Mehrdad Lakestani

  • Application of tan(ϕ/2)-expansion method for solving the Biswas–Milovic equation for Kerr law nonlinearity

    Jalil Manafian;Mehrdad Lakestani

  • Dispersive dark optical soliton with Tzitzéica type nonlinear evolution equations arising in nonlinear optics

    Jalil Manafian;Mehrdad Lakestani

  • Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets

    Mehrdad Lakestani;Behzad Nemati Saray;Mehdi Dehghan

  • Collocation and finite difference-collocation methods for the solution of nonlinear Klein–Gordon equation

    Mehrdad Lakestani;Mehdi Dehghan

  • Numerical solution of nonlinear system of second-order boundary value problems using cubic B-spline scaling functions

    Mehdi Dehghan;Mehrdad Lakestani

  • The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement

    Mehrdad Lakestani;Mehdi Dehghan

  • N-lump and interaction solutions of localized waves to the (2+1)-dimensional variable-coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada equation

    Jalil Manafian;Mehrdad Lakestani

  • Lump-type solutions and interaction phenomenon to the bidirectional Sawada–Kotera equation

    Jalil Manafian;Mehrdad Lakestani

  • Study of the Analytical Treatment of the (2+1)-Dimensional Zoomeron, the Duffing and the SRLW Equations via a New Analytical Approach

    Jalil Manafian;Mehrdad Lakestani;Ahmet Bekir

  • Solitary wave and periodic wave solutions for Burgers, Fisher, Huxley and combined forms of these equations by the ( G ′ /G )-expansion method

    Jalil Manafian;Mehrdad Lakestani

  • Numerical solution of Riccati equation using the cubic B-spline scaling functions and Chebyshev cardinal functions

    Mehrdad Lakestani;Mehdi Dehghan

  • A new analytical approach to solve some of the fractional-order partial differential equations

    Jalil Manafian;Mehrdad Lakestani

  • Numerical solution of Fokker‐Planck equation using the cubic B‐spline scaling functions

    Mehrdad Lakestani;Mehrdad Lakestani;Mehdi Dehghan

Frequent Co-Authors

Mehdi Dehghan
Mehdi Dehghan Amirkabir University of Technology
Mohsen Razzaghi
Mohsen Razzaghi Mississippi State University
Ahmet Bekir
Ahmet Bekir Eskişehir Osmangazi University
Bin Han
Bin Han University of Alberta
Carlo Cattani
Carlo Cattani Tuscia University
Haci Mehmet Baskonus
Haci Mehmet Baskonus Harran University
Ahmet Yildirim
Ahmet Yildirim Ege University
Mir Sajjad Hashemi
Mir Sajjad Hashemi University of Bonab

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