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D-Index & Metrics

Mathematics

D-Index
34
Citations
3638
World Ranking
2960
National Ranking
27

Overview

Elyas Shivanian is affiliated with Imam Khomeini International University in Iran and has contributed to research primarily in the fields of Mathematics and Engineering. Their work spans various subfields including Mechanics of Materials, Numerical Analysis, Modeling and Simulation, Statistical and Nonlinear Physics, and Computational Mechanics.

The main topics covered in Shivanian's research include:

  • Fractional Differential Equations Solutions
  • Numerical methods in engineering
  • Differential Equations and Numerical Methods
  • Nonlinear Waves and Solitons
  • Numerical methods for differential equations
  • Nonlinear Differential Equations Analysis
  • Iterative Methods for Nonlinear Equations

Frequent publication venues where Shivanian's work appears include:

  • Computational and Applied Mathematics
  • Mathematical sciences
  • Engineering Analysis with Boundary Elements
  • Engineering With Computers
  • Journal of Nonlinear Mathematical Physics

Co-authors who appear regularly alongside Shivanian are:

  • S. Abbasbandy
  • Donya Haghighi
  • Mohammad Aslefallah
  • Hamid Reza Khodabandehlo
  • Ahmad Jafarabadi

Selected recent papers reflecting Shivanian's research focus are:

  • To study existence of at least three weak solutions to a system of over-determined Fredholm fractional integro-differential equations, 2021, Communications in Nonlinear Science and Numerical Simulation
  • Solving fractional-order delay integro-differential equations using operational matrix based on fractional-order Euler polynomials, 2020, Mathematical sciences
  • Meshless singular boundary method for two-dimensional pseudo-parabolic equation: analysis of stability and convergence, 2020, Journal of Applied Mathematics and Computing
  • Study of the Fragile Points Method for solving two-dimensional linear and nonlinear wave equations on complex and cracked domains, 2022, Engineering Analysis with Boundary Elements
  • The Fragile Points Method (FPM) to solve two-dimensional hyperbolic telegraph equation using point stiffness matrices, 2021, Engineering Analysis with Boundary Elements

The scope of Shivanian's research is notably interdisciplinary, focusing on numerical and analytical methods to solve complex differential equations, particularly fractional and nonlinear forms. This includes developing iterative methods, solution techniques for wave equations, and stability and convergence analyses relevant to engineering and mathematical applications.

Best Publications

  • Mathematical properties of ℏ-curve in the frame work of the homotopy analysis method

    Saeid Abbasbandy;Elyas Shivanian;Kuppalapalle Vajravelu

  • The homotopy analysis method for multiple solutions of nonlinear boundary value problems

    S. Abbasbandy;E. Magyari;E. Shivanian

  • Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition

    R Ellahi;E Shivanian;S Abbasbandy;T. Hayat

  • Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping

    Vahid Reza Hosseini;Elyas Shivanian;Wen Chen

  • Prediction of multiplicity of solutions of nonlinear boundary value problems: Novel application of homotopy analysis method

    S. Abbasbandy;E. Shivanian

  • Local integration of 2-D fractional telegraph equation via local radial point interpolant approximation

    Vahid Reza Hosseini;Elyas Shivanian;Wen Chen

  • Meshless local Petrov–Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation

    E. Shivanian

  • Analysis of meshless local radial point interpolation (MLRPI) on a nonlinear partial integro-differential equation arising in population dynamics

    Elyas Shivanian

  • Predictor homotopy analysis method and its application to some nonlinear problems

    S. Abbasbandy;E. Shivanian

  • A new spectral meshless radial point interpolation (SMRPI) method: A well-behaved alternative to the meshless weak forms

    Elyas Shivanian

  • Bio-inspired computing platform for reliable solution of Bratu-type equations arising in the modeling of electrically conducting solids

    Muhammad Asif Zahoor Raja;Raza Samar;Eman S. Alaidarous;Elyas Shivanian

  • Nonlinear fractional integro-differential reaction-diffusion equation via radial basis functions

    Mohammad Aslefallah;Elyas Shivanian

  • Application of the Variational Iteration Method for System of Nonlinear Volterra’s Integro-Differential Equations

    Saeid Abbasbandy;Elyas Shivanian

  • A new analytical technique to solve Fredholm's integral equations

    Saeid Abbasbandy;E. Shivanian

  • On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three-dimensional wave equations

    Elyas Shivanian

  • Spectral meshless radial point interpolation (SMRPI) method to two‐dimensional fractional telegraph equation

    Elyas Shivanian

  • Analysis of steady flows in viscous fluid with heat/mass transfer and slip effects

    R. Ellahi;R. Ellahi;E. Shivanian;S. Abbasbandy;S.U. Rahman

  • Exact analytical solution of a nonlinear equation arising in heat transfer

    S. Abbasbandy;E. Shivanian

  • Analysis of meshless local and spectral meshless radial point interpolation (MLRPI and SMRPI) on 3-D nonlinear wave equations

    Elyas Shivanian

  • Local integration of 2-D fractional telegraph equation via moving least squares approximation

    Elyas Shivanian;Saeid Abbasbandy;Mohammed S. Alhuthali;Hamed H. Alsulami

  • AN EXTENDED METHOD USING TOPSIS AND VIKOR FOR MULTIPLE ATTRIBUTE DECISION MAKING WITH MULTIPLE DECISION MAKERS AND SINGLE VALUED NEUTROSOPHIC NUMBERS

    Hassan Pouresmaeil;Elyas Shivanian;Esmaile Khorram;Hassan Salehi Fathabadi

Frequent Co-Authors

Saeid Abbasbandy
Saeid Abbasbandy Imam Khomeini International University
Muhammad Asif Zahoor Raja
Muhammad Asif Zahoor Raja National Yunlin University of Science and Technology
Navvab Shafiei
Navvab Shafiei Imam Khomeini International University
Tasawar Hayat
Tasawar Hayat Quaid-i-Azam University
A. Alsaedi
A. Alsaedi King Abdulaziz University
Kourosh Parand
Kourosh Parand Shahid Beheshti University
Ishak Hashim
Ishak Hashim National University of Malaysia
Mehmet Pakdemirli
Mehmet Pakdemirli Celal Bayar University

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