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- Akbar Mohebbi, Mostafa Abbaszadeh, Mehdi Dehghan
- J. Comput. Physics
- 2013

- Mehdi Dehghan, Akbar Mohebbi
- Mathematics and Computers in Simulation
- 2008

- Mehdi Dehghan, Akbar Mohebbi
- Applied Mathematics and Computation
- 2006

- Mehdi Dehghan, Akbar Mohebbi, Zohreh Asgari
- Numerical Algorithms
- 2009

In this work we propose a fourth-order compact method for solving the one-dimensional nonlinear Klein-Gordon equation. We apply a compact finite difference approximation of fourth-order for discretizing spatial derivative and a fourth-order A-stable diagonally-implicit Runge-Kutta-Nyström (DIRKN) method for the time integration of the resulting nonlinear… (More)

- Akbar Mohebbi, Mostafa Abbaszadeh
- Numerical Algorithms
- 2012

In this paper, a compact finite difference method is proposed for the solution of time fractional advection-dispersion equation which appears extensively in fluid dynamics. In this approach the time fractional derivative of mentioned equation is approximated by a scheme of order O(τ 2 − α ), 0 < α < 1, and spatial derivatives are replaced with a fourth… (More)

- Akbar Mohebbi, Mehdi Dehghan
- Mathematical and Computer Modelling
- 2010

- Mostafa Abbaszadeh, Akbar Mohebbi
- Computers & Mathematics with Applications
- 2013

- Mehdi Dehghan, Akbar Mohebbi
- Kybernetes
- 2008

- Akbar Mohebbi, Mehdi Dehghan
- Computer Physics Communications
- 2010

- Wenyuan Liao, Mehdi Dehghan, Akbar Mohebbi
- J. Computational Applied Mathematics
- 2009