Akbar Mohebbi

Overview

Best Publications

• High-order compact solution of the one-dimensional heat and advection–diffusion equations

  Akbar Mohebbi;Mehdi Dehghan

  206
  Citations

• The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics

  Akbar Mohebbi;Mostafa Abbaszadeh;Mehdi Dehghan

  194
  Citations

• The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions

  Mehdi Dehghan;Mostafa Abbaszadeh;Akbar Mohebbi

  171
  Citations

• An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein–Gordon equations

  Mehdi Dehghan;Mostafa Abbaszadeh;Akbar Mohebbi

  143
  Citations

• High order compact solution of the one-space-dimensional linear hyperbolic equation

  Akbar Mohebbi;Mehdi Dehghan

  126
  Citations

• A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term

  Akbar Mohebbi;Mostafa Abbaszadeh;Mehdi Dehghan

  121
  Citations

• The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate

  Mehdi Dehghan;Mostafa Abbaszadeh;Akbar Mohebbi

  115
  Citations

• High order implicit collocation method for the solution of two‐dimensional linear hyperbolic equation

  Mehdi Dehghan;Akbar Mohebbi

  111
  Citations

• High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods

  Akbar Mohebbi;Mehdi Dehghan

  110
  Citations

• Fourth-order compact solution of the nonlinear Klein-Gordon equation

  Mehdi Dehghan;Akbar Mohebbi;Akbar Mohebbi;Zohreh Asgari

  101
  Citations

• Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method

  Mehdi Dehghan;Mostafa Abbaszadeh;Akbar Mohebbi

  99
  Citations

• The use of compact boundary value method for the solution of two-dimensional Schrödinger equation

  Akbar Mohebbi;Mehdi Dehghan

  95
  Citations

• Analysis of a meshless method for the time fractional diffusion-wave equation

  Mehdi Dehghan;Mostafa Abbaszadeh;Akbar Mohebbi

  95
  Citations

• Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation

  Mehdi Dehghan;Mostafa Abbaszadeh;Akbar Mohebbi

  94
  Citations

• High-order compact boundary value method for the solution of unsteady convection-diffusion problems

  Mehdi Dehghan;Akbar Mohebbi

  87
  Citations

• Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh–Stokes problem for a heated generalized second grade fluid with fractional derivatives

  Akbar Mohebbi;Mostafa Abbaszadeh;Mehdi Dehghan

  71
  Citations

• A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term

  Mostafa Abbaszadeh;Akbar Mohebbi

  69
  Citations

• Compact finite difference scheme for the solution of time fractional advection-dispersion equation

  Akbar Mohebbi;Mostafa Abbaszadeh

  58
  Citations

• Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method

  Akbar Mohebbi;Mostafa Abbaszadeh;Mehdi Dehghan

  47
  Citations

• High‐order difference scheme for the solution of linear time fractional klein–gordon equations

  Akbar Mohebbi;Mostafa Abbaszadeh;Mehdi Dehghan

  45
  Citations

• Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: Meshless interpolating element free Galerkin (IEFG) and finite element methods

  Mehdi Dehghan;Mostafa Abbaszadeh;Akbar Mohebbi

  43
  Citations