An improvement on the positivity results for 2-stage explicit Runge–Kutta methods MM Khalsaraei Journal of computational and applied mathematics 235 (1), 137-143, 2010 | 39 | 2010 |
A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease MM Khalsaraei, A Shokri, H Ramos, S Heydari Mathematics and Computers in Simulation 182, 397-410, 2021 | 37 | 2021 |
A class of second derivative multistep methods for stiff systems MM Khalsaraei, NN Oskuyi, G Hojjati Acta Universitatis Apulensis 30, 171-188, 2012 | 33 | 2012 |
The new classes of high order implicit six-step P-stable multiderivative methods for the numerical solution of Schrodinger equation MM Khalsaraei, A Shokri Applied and Computational Mathematics 19 (1), 59-86, 2020 | 25 | 2020 |
A new explicit singularly P-stable four-step method for the numerical solution of second order IVPs M Mehdizadeh Khalsaraei, A Shokri Iranian Journal of Mathematical Chemistry 11 (1), 17-31, 2020 | 23 | 2020 |
The new high approximation of stiff systems of first order IVPs arising from chemical reactions by k-step L-stable hybrid methods M Mehdizadeh Khalsaraei, A Shokri, M Molayi Iranian Journal of Mathematical Chemistry 10 (2), 181-193, 2019 | 20 | 2019 |
Nonstandard finite difference schemes for differential equations M Mehdizadeh Khalsaraei, F Khodadosti Sahand Communications in Mathematical Analysis 1 (2), 47-54, 2014 | 19 | 2014 |
A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws M Mehdizadeh Khalsaraei, F Khodadosti Computational Methods for Differential Equations 2 (2), 91-98, 2014 | 18 | 2014 |
A new implicit six-step P-stable method for the numerical solution of Schrödinger equation A Shokri, J Vigo-Aguiar, M Mehdizadeh Khalsaraei, R Garcia-Rubio International Journal of Computer Mathematics 97 (4), 802-817, 2020 | 17 | 2020 |
Qualitatively stability of nonstandard 2-stage explicit Runge–Kutta methods of order two MM Khalsaraei, F Khodadosti Computational Mathematics and Mathematical Physics 56, 235-242, 2016 | 17 | 2016 |
Positivity of an explicit Runge–Kutta method MM Khalsaraei Ain Shams Engineering Journal 6 (4), 1217-1223, 2015 | 17 | 2015 |
Nonstandard finite difference schemes for an SIR epidemic model M Mehdizadeh Khalsaraei, A Shokri, S Noeiaghdam, M Molayi Mathematics 9 (23), 3082, 2021 | 16 | 2021 |
Qualitatively stable nonstandard finite difference scheme for numerical solution of the nonlinear Black–Scholes equation M Mehdizadeh Khalsaraei, A Shokri, Z Mohammadnia, HM Sedighi Journal of Mathematics 2021 (1), 6679484, 2021 | 14 | 2021 |
A new two-step hybrid singularly P-stable method for the numerical solution of second-order IVPs with oscillating solutions A Shokri, M Mehdizadeh Khalsaraei, A Atashyar Iranian Journal of Mathematical Chemistry 11 (2), 113-132, 2020 | 14 | 2020 |
A new four-step P-stable Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation A Shokri, J Vigo-Aguiar, MM Khalsaraei, R Garcia-Rubio Journal of Computational and Applied Mathematics 354, 569-586, 2019 | 14 | 2019 |
Positivity-preserving nonstandard finite difference schemes for simulation of advection-diffusion reaction equations M Mehdizadeh Khalsaraei, R Shokri Jahandizi Computational Methods for Differential Equations 2 (4), 256-267, 2014 | 14 | 2014 |
The new class of multistep multiderivative hybrid methods for the numerical solution of chemical stiff systems of first order IVPs MM Khalsaraei, A Shokri, M Molayi Journal of Mathematical Chemistry 58 (9), 1987-2012, 2020 | 13 | 2020 |
Nonstandard Dynamically Consistent Numerical Methods for MSEIR Model A Shokri, M Mehdizadeh Khalsaraei, M Molayi Journal of Applied and Computational Mechanics 8 (1), 196-205, 2022 | 12 | 2022 |
Dynamically consistent NSFD methods for predator-prey system A Shokri, M Mehdizadeh Khalsaraei, M Molayi Journal of Applied and Computational Mechanics 7 (3), 1565-1574, 2021 | 11 | 2021 |
A new divided difference interpolation method for two-variable functions A Shokri, MM Khalsaraei, S Noeiaghdam, DA Juraev Global and Stochastic Analysis 9 (2 Special Issue), 19-26, 2022 | 10 | 2022 |