| 1 | A comparative study of Artificial Bee Colony algorithm | Applied Mathematics and Computation | 2009 | 1,833 |
| 2 | Effective implementation of the ε-constraint method in Multi-Objective Mathematical Programming problems | Applied Mathematics and Computation | 2009 | 1,410 |
| 3 | On the homotopy analysis method for nonlinear problems | Applied Mathematics and Computation | 2004 | 1,176 |
| 4 | An improved harmony search algorithm for solving optimization problems | Applied Mathematics and Computation | 2007 | 1,091 |
| 5 | Homotopy perturbation method: a new nonlinear analytical technique | Applied Mathematics and Computation | 2003 | 1,028 |
| 6 | Variational iteration method for autonomous ordinary differential systems | Applied Mathematics and Computation | 2000 | 674 |
| 7 | Gbest-guided artificial bee colony algorithm for numerical function optimization | Applied Mathematics and Computation | 2010 | 670 |
| 8 | Backtracking Search Optimization Algorithm for numerical optimization problems | Applied Mathematics and Computation | 2013 | 669 |
| 9 | Generalized Taylor’s formula | Applied Mathematics and Computation | 2007 | 623 |
| 10 | The homotopy perturbation method for nonlinear oscillators with discontinuities | Applied Mathematics and Computation | 2004 | 552 |
| 11 | Remarks on fractional derivatives | Applied Mathematics and Computation | 2007 | 479 |
| 12 | New approach to a generalized fractional integral | Applied Mathematics and Computation | 2011 | 458 |
| 13 | A real coded genetic algorithm for solving integer and mixed integer optimization problems | Applied Mathematics and Computation | 2009 | 441 |
| 14 | Global-best harmony search | Applied Mathematics and Computation | 2008 | 439 |
| 15 | A hybrid PSO-GA algorithm for constrained optimization problems | Applied Mathematics and Computation | 2016 | 424 |
| 16 | A reliable modification of Adomian decomposition method | Applied Mathematics and Computation | 1999 | 419 |
| 17 | An effective co-evolutionary differential evolution for constrained optimization | Applied Mathematics and Computation | 2007 | 414 |
| 18 | The tanh method for traveling wave solutions of nonlinear equations | Applied Mathematics and Computation | 2004 | 405 |
| 19 | Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation | Applied Mathematics and Computation | 2007 | 405 |
| 20 | A new algorithm for calculating adomian polynomials for nonlinear operators | Applied Mathematics and Computation | 2000 | 394 |
| 21 | On the new fractional derivative and application to nonlinear Fisher’s reaction–diffusion equation | Applied Mathematics and Computation | 2016 | 388 |
| 22 | Classification of epileptiform EEG using a hybrid system based on decision tree classifier and fast Fourier transform | Applied Mathematics and Computation | 2007 | 374 |
| 23 | An improved version of the augmented ε-constraint method (AUGMECON2) for finding the exact pareto set in multi-objective integer programming problems | Applied Mathematics and Computation | 2013 | 373 |
| 24 | Comparison of homotopy perturbation method and homotopy analysis method | Applied Mathematics and Computation | 2004 | 365 |
| 25 | A hybrid particle swarm optimization–back-propagation algorithm for feedforward neural network training | Applied Mathematics and Computation | 2007 | 364 |
| 26 | A fractional epidemiological model for computer viruses pertaining to a new fractional derivative | Applied Mathematics and Computation | 2018 | 358 |
| 27 | Extension of the TOPSIS method for decision-making problems with fuzzy data | Applied Mathematics and Computation | 2006 | 349 |
| 28 | An algorithmic method to extend TOPSIS for decision-making problems with interval data | Applied Mathematics and Computation | 2006 | 347 |
| 29 | A novel metaheuristic optimizer inspired by behavior of jellyfish in ocean | Applied Mathematics and Computation | 2021 | 345 |
| 30 | Modified simple equation method for nonlinear evolution equations | Applied Mathematics and Computation | 2010 | 331 |
| 31 | Viscous flow and heat transfer over a nonlinearly stretching sheet | Applied Mathematics and Computation | 2007 | 330 |
| 32 | A hybrid particle swarm optimization with a feasibility-based rule for constrained optimization | Applied Mathematics and Computation | 2007 | 324 |
| 33 | Some developments in general variational inequalities | Applied Mathematics and Computation | 2004 | 310 |
| 34 | Solving the (3 + 1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm | Applied Mathematics and Computation | 2012 | 305 |
| 35 | Training feedforward neural networks using hybrid particle swarm optimization and gravitational search algorithm | Applied Mathematics and Computation | 2012 | 300 |
| 36 | Comparison between the homotopy analysis method and homotopy perturbation method | Applied Mathematics and Computation | 2005 | 295 |
| 37 | Variants of Newton’s Method using fifth-order quadrature formulas | Applied Mathematics and Computation | 2007 | 290 |
| 38 | Free vibration analysis of functionally graded size-dependent nanobeams | Applied Mathematics and Computation | 2012 | 280 |
| 39 | Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle | Applied Mathematics and Computation | 2008 | 273 |
| 40 | Fractional calculus with an integral operator containing a generalized Mittag–Leffler function in the kernel | Applied Mathematics and Computation | 2009 | 271 |
| 41 | Solving partial differential equations by collocation using radial basis functions | Applied Mathematics and Computation | 1998 | 270 |
| 42 | A new algorithm for solving differential equations of Lane–Emden type | Applied Mathematics and Computation | 2001 | 257 |
| 43 | Existence of mild solution for evolution equation with Hilfer fractional derivative | Applied Mathematics and Computation | 2015 | 253 |
| 44 | Analytical solution of a time-fractional Navier–Stokes equation by Adomian decomposition method | Applied Mathematics and Computation | 2006 | 247 |
| 45 | Improving Newton–Raphson method for nonlinear equations by modified Adomian decomposition method | Applied Mathematics and Computation | 2003 | 238 |
| 46 | A new crossover operator for real coded genetic algorithms | Applied Mathematics and Computation | 2007 | 237 |
| 47 | Exact analytical solutions of the Susceptible-Infected-Recovered (SIR) epidemic model and of the SIR model with equal death and birth rates | Applied Mathematics and Computation | 2014 | 236 |
| 48 | Exponential stability of continuous-time and discrete-time cellular neural networks with delays | Applied Mathematics and Computation | 2003 | 232 |
| 49 | A self-adaptive global best harmony search algorithm for continuous optimization problems | Applied Mathematics and Computation | 2010 | 231 |
| 50 | The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls | Applied Mathematics and Computation | 2009 | 228 |