Showing papers in "Applied Mathematics and Computation in 2010"

TL;DR: An improved ABC algorithm called gbest-guided ABC (GABC) algorithm is proposed by incorporating the information of global best (gbest) solution into the solution search equation to improve the exploitation of ABC algorithm.

TL;DR: The proposed algorithm has been successfully tested on two very important evolution equations namely Fitzhugh–Nagumo equation and Sharma–Tasso–Olver equation and results are very encouraging.

TL;DR: In the proposed SGHS algorithm, a new improvisation scheme is developed so that the good information captured in the current global best solution can be well utilized to generate new harmonies.

TL;DR: This paper proposes new chaotic HS algorithms that use chaotic maps for parameter adaptation in order to improve the convergence characteristics and to prevent the HS to get stuck on local solutions.

TL;DR: The Haar wavelet operational matrix is derived and used to solve the fractional order differential equations including the Bagley-Torvik, Ricatti and composite fractional oscillation equations.

TL;DR: The steady laminar boundary layer flow over a permeable flat plate in a uniform free stream, with the bottom surface of the plate heated by convection from a hot fluid is considered and the effects of the governing parameters on the flow and thermal fields are thoroughly examined and discussed.

TL;DR: The concept of a w-compatible mappings to obtain coupled coincidence point and coupled point of coincidence for nonlinear contractive mappings in cone metric space with a cone having non-empty interior is introduced.

TL;DR: The new parameter-setting-free (PSF) technique which this study suggests contains one additional matrix which contains an operation type (random selection, memory consideration, or pitch adjustment) for every variable in harmony memory.

TL;DR: The paper presents the transportation of viscoelastic fluid with fractional Maxwell model by peristalsis through a channel under long wavelength and low Reynolds number approximations.

TL;DR: A combined form of the Laplace transform method with the Adomian decomposition method is developed for analytic treatment of the nonlinear Volterra integro-differential equations.

TL;DR: It is proved that the variational solution of the SSFPDE exists and is unique, and a fully discrete approximating system is obtained, which has a unique solution according to the Lax–Milgram theorem.

TL;DR: The existence and uniqueness of solutions for a four-point nonlocal boundary value problem of nonlinear integro-differential equations of fractional order q ∈ (1, 2] are proved by applying some standard fixed point theorems.

TL;DR: An extensive computational study is carried out and the results are compared with several algorithms from the literature, including BA for solving generalized assignment problems (GAP) with an ejection chain neighborhood mechanism.

TL;DR: The analysis shows that when the matrix equation has a unique solution (under the sense of least squares), the iterative solution converges to the exact solution for any initial values.

TL;DR: The extended G^'G-expansion method is proposed to seek exact solutions of nonlinear evolution equations to construct travelling wave solutions of Whitham-Broer-Kaup-Like equations and coupled Hirota-Satsuma KdV equations.

TL;DR: The original BBO is extended and a real-coded BBO approach is presented, referred to as RCBBO, for the global optimization problems in the continuous domain, in order to improve the diversity of the population and enhance the exploration ability of RCB BO.

TL;DR: The author develops the criterion for the optimal solution for the replenishment schedule, and proves the optimal ordering policy is unique, and suggests to new functions regarding price-dependent demand and time varying deterioration rate.

TL;DR: A Noether’s theorem is proved for fractional variational problems with Riesz–Caputo derivatives with both Lagrangian and Hamiltonian formulations.

TL;DR: Numerical results demonstrate that the computer virus model using an SIRS model and the threshold value R 0 determining whether the disease dies out is obtained and has periodic solution when time delay is larger than a critical values.

TL;DR: This survey paper contains a surprisingly large amount of literature on singularly perturbed problems and indeed can serve as an introduction to some of the ideas and methods for the singular perturbation problems.

TL;DR: The method simplifies the computation of the Adomian polynomials and illustrates by examples that the domain of convergence can be changed by choosing a different u"0 and a modified iteration.

TL;DR: An ensemble of DDE (eDDE) algorithms where each parameter set and crossover operator is assigned to one of the parallel populations with parallel populations is presented and compared against the best performing algorithms from the literature.

TL;DR: The obtained general results are illustrated by obtaining exact solutions of versions of the generalized Kuramoto–Sivashinsky equation, reaction–diffusion equation with density-dependent diffusion, and the reaction-telegraph equation.

TL;DR: In this paper, the analytical energy spectrum and corresponding two-component upper and lower spinors of the two Dirac particles were obtained by means of the Nikiforov-Uvarov method in closed form.

TL;DR: The recurrence relations for the simplified index matrices provide a convenient algorithm for rapid generation of the multivariable Adomian polynomials, and another alternative algorithm for term recurrence is established.

TL;DR: It is demonstrated that the G ′ / G -expansion method is equivalent to the well-known tanh-method and application of these methods gives the same exact solutions of nonlinear differential equations.

TL;DR: Some new exact solutions of the perturbed nonlinear Schrodinger’s equation with Kerr law nonlinearity are derived, which are the linear combination of two different Jacobi elliptic functions.

TL;DR: The boundedness and compactness of weighted differentiation composition operators from the space of bounded analytic functions, the Bloch space and the little Blochspace to nth weighted-type spaces on the unit disk are characterized.

TL;DR: The existence, uniqueness, stability and long-time behavior of the proposed model are established in the variable exponent functional space W 1, p ( x ) .

TL;DR: The experimental results manifest that the proposed MEHBMOT algorithm can search for multiple thresholds which are very close to the optimal ones examined by the exhaustive search method, and the segmentation results using the MEH BMOT algorithm is the best and its computation time is relatively low.