Applied Mathematics and Computation

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Top Articles

#	Title	Journal	Year	Citations
1	A comparative study of Artificial Bee Colony algorithm	Applied Mathematics and Computation	2009	2,722
2	An improved harmony search algorithm for solving optimization problems	Applied Mathematics and Computation	2007	1,617
3	Effective implementation of the ε-constraint method in Multi-Objective Mathematical Programming problems	Applied Mathematics and Computation	2009	1,420
4	On the homotopy analysis method for nonlinear problems	Applied Mathematics and Computation	2004	1,417
5	Homotopy perturbation method: a new nonlinear analytical technique	Applied Mathematics and Computation	2003	1,218
6	Gbest-guided artificial bee colony algorithm for numerical function optimization	Applied Mathematics and Computation	2010	1,036
7	Backtracking Search Optimization Algorithm for numerical optimization problems	Applied Mathematics and Computation	2013	836
8	Variational iteration method for autonomous ordinary differential systems	Applied Mathematics and Computation	2000	826
9	Global-best harmony search	Applied Mathematics and Computation	2008	701
10	The homotopy perturbation method for nonlinear oscillators with discontinuities	Applied Mathematics and Computation	2004	675
11	Generalized Taylor’s formula	Applied Mathematics and Computation	2007	656
12	Classification of epileptiform EEG using a hybrid system based on decision tree classifier and fast Fourier transform	Applied Mathematics and Computation	2007	629
13	A real coded genetic algorithm for solving integer and mixed integer optimization problems	Applied Mathematics and Computation	2009	588
14	A hybrid particle swarm optimization–back-propagation algorithm for feedforward neural network training	Applied Mathematics and Computation	2007	582
15	Remarks on fractional derivatives	Applied Mathematics and Computation	2007	530
16	A hybrid PSO-GA algorithm for constrained optimization problems	Applied Mathematics and Computation	2016	502
17	A reliable modification of Adomian decomposition method	Applied Mathematics and Computation	1999	493
18	An algorithmic method to extend TOPSIS for decision-making problems with interval data	Applied Mathematics and Computation	2006	493
19	Extension of the TOPSIS method for decision-making problems with fuzzy data	Applied Mathematics and Computation	2006	485
20	An effective co-evolutionary differential evolution for constrained optimization	Applied Mathematics and Computation	2007	471
21	New approach to a generalized fractional integral	Applied Mathematics and Computation	2011	471
22	The tanh method for traveling wave solutions of nonlinear equations	Applied Mathematics and Computation	2004	457
23	Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation	Applied Mathematics and Computation	2007	452
24	A new algorithm for calculating adomian polynomials for nonlinear operators	Applied Mathematics and Computation	2000	450
25	Comparison of homotopy perturbation method and homotopy analysis method	Applied Mathematics and Computation	2004	443
26	Training feedforward neural networks using hybrid particle swarm optimization and gravitational search algorithm	Applied Mathematics and Computation	2012	431
27	Some developments in general variational inequalities	Applied Mathematics and Computation	2004	429
28	Solution of the Euler equations for two dimensional transonic flow by a multigrid method	Applied Mathematics and Computation	1983	416
29	A hybrid particle swarm optimization with a feasibility-based rule for constrained optimization	Applied Mathematics and Computation	2007	413
30	On the new fractional derivative and application to nonlinear Fisher’s reaction–diffusion equation	Applied Mathematics and Computation	2016	405
31	A fractional epidemiological model for computer viruses pertaining to a new fractional derivative	Applied Mathematics and Computation	2018	382
32	Comparison between the homotopy analysis method and homotopy perturbation method	Applied Mathematics and Computation	2005	368
33	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	358
34	Modified simple equation method for nonlinear evolution equations	Applied Mathematics and Computation	2010	355
35	A self-adaptive global best harmony search algorithm for continuous optimization problems	Applied Mathematics and Computation	2010	346
36	Solving the (3 + 1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm	Applied Mathematics and Computation	2012	346
37	A new crossover operator for real coded genetic algorithms	Applied Mathematics and Computation	2007	344
38	Viscous flow and heat transfer over a nonlinearly stretching sheet	Applied Mathematics and Computation	2007	341
39	Solving partial differential equations by collocation using radial basis functions	Applied Mathematics and Computation	1998	325
40	Variants of Newton’s Method using fifth-order quadrature formulas	Applied Mathematics and Computation	2007	324
41	Fractional calculus with an integral operator containing a generalized Mittag–Leffler function in the kernel	Applied Mathematics and Computation	2009	323
42	Exponential stability of continuous-time and discrete-time cellular neural networks with delays	Applied Mathematics and Computation	2003	322
43	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	322
44	A modified particle swarm optimizer with dynamic adaptation	Applied Mathematics and Computation	2007	315
45	Algebraic multigrid theory: The symmetric case	Applied Mathematics and Computation	1986	307
46	Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle	Applied Mathematics and Computation	2008	307
47	A new algorithm for solving differential equations of Lane–Emden type	Applied Mathematics and Computation	2001	305
48	A new mutation operator for real coded genetic algorithms	Applied Mathematics and Computation	2007	305
49	Free vibration analysis of functionally graded size-dependent nanobeams	Applied Mathematics and Computation	2012	305
50	Validated solutions of initial value problems for ordinary differential equations	Applied Mathematics and Computation	1999	294

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