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  • Articles  (1,266)
  • Hindawi  (1,266)
  • American Chemical Society
  • Blackwell Publishing Ltd
  • Copernicus
  • Molecular Diversity Preservation International
  • Springer Nature
  • Springer Science + Business Media
  • 2020-2022
  • 2010-2014  (1,266)
  • 1960-1964
  • 2012  (1,266)
  • Journal of Applied Mathematics  (438)
  • 9340
  • Mathematics  (1,266)
  • Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
Collection
  • Articles  (1,266)
Source
Publisher
  • Hindawi  (1,266)
  • American Chemical Society
  • Blackwell Publishing Ltd
  • Copernicus
  • Molecular Diversity Preservation International
    • +
Years
  • 2020-2022
  • 2010-2014  (1,266)
  • 1960-1964
Year
Journal
Topic
  • Mathematics  (1,266)
  • Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
  • 1
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    Multipath Adaptive Tabu Search for a Vehicle Control Problem (2012)
    Hindawi
    Details
    Publication Date: 2012-02-24
    Description: Tabu search has become acceptable worldwide as one of the most efficient intelligent searches applied to various real-world problems. There have been different modifications made to the generic tabu search in recent years to achieve better performances. Among those reviewed in the introduction of this paper, the adaptive tabu search (ATS) has incorporated the backtracking and the adaptive search radius mechanisms that help accelerate the search and release it from a local solution lock. The paper explains an enhancement made to the ATS to accomplish multipath ATS (MATS) algorithms. Performances of the ATS and the MATS are evaluated using surface optimization problems, and results are presented in the paper. Finally, the MATS is applied to solve a real-world vehicle control problem.
    Print ISSN: 1110-757X
    Electronic ISSN: 1687-0042
    Topics: Mathematics
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  • 2
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    Synchronization of Two Rank-One Chaotic Systems without and with Delay via Linear Delayed Feedback Control (2012)
    Hindawi
    Details
    Publication Date: 2012-03-16
    Description: This paper illustrates the presence of chaos in rank-one chaotic systems with delay via a binary test (called 0-1 test) for chaos. Chaotic synchronization between two rank-one chaotic systems without and with delay is achieved by means of Lyapunov functional and linear delayed feedback control method. Numerical simulations are implemented to verify the effectiveness of the proposed chaos synchronization scheme.
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  • 3
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    On a Generalized Hyers-Ulam Stability of Trigonometric Functional Equations (2012)
    Hindawi
    Details
    Publication Date: 2012-03-16
    Description: Let G be an Abelian group, let ℂ be the field of complex numbers, and let f,g:G→ℂ. We consider the generalized Hyers-Ulam stability for a class of trigonometric functional inequalities, |f(x-y)-f(x)g(y)+g(x)f(y)|≤ψ(y),  |g(x-y)-g(x)g(y)-f(x)f(y)|≤ψ(y), where ψ:G→ℝ is an arbitrary nonnegative function.
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  • 4
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    On the Solution of Double-Diffusive Convective Flow due to a Cone by a Linearization Method (2012)
    Hindawi
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    Publication Date: 2012-02-08
    Description: The paper details the use of a nonperturbation successive linearization method to solve the coupled nonlinear boundary value problem due to double-diffusive convection from an inverted cone. Diffusion-thermo and thermal-diffusion effects have been taken into account. The governing partial differential equations are transformed into ordinary differential equations using a suitable similarity transformation. The SLM is based on successively linearizing the governing nonlinear boundary layer equations and solving the resulting higher-order deformation equations using spectral methods. The results are compared with the limited cases from previous studies and results obtained using the Matlab inbuilt bvp4c numerical algorithm and a shooting technique that uses Runge-Kutta-Fehlberg (RKF45) and Newton-Raphson schemes. These comparisons reveal the robustness and validate the usage of the linearisation method technique. The results show that the nonperturbation technique in combination with the Chebyshev spectral collocation method is an efficient numerical algorithm with assured convergence that serves as an alternative to numerical methods for solving nonlinear boundary value problems.
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  • 5
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    MHD Flow of an Incompressible Viscous Fluid through Convergent or Divergent Channels in Presence of a High Magnetic Field (2012)
    Hindawi
    Details
    Publication Date: 2012-02-10
    Description: The flow of an incompressible electrically conducting viscous fluid in convergent or divergent channels under the influence of an externally applied homogeneous magnetic field is studied both analytically and numerically. Navier-Stokes equations of fluid mechanics and Maxwell’s electromagnetism equations are reduced into highly non-linear ordinary differential equation. The resulting non-linear equation has been solved analytically using a very efficient technique, namely, differential transform method (DTM). The DTM solution is compared with the results obtained by a numerical method (shooting method, coupled with fourth-order Runge-Kutta scheme). The plots have revealed the physical characteristics of flow by changing angles of the channel, Hartmann and Reynolds numbers.
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  • 6
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    Hidden and Not So Hidden Symmetries (2012)
    Hindawi
    Details
    Publication Date: 2012-02-13
    Description: Hidden symmetries entered the literature in the late Eighties when it was observed that there could be gain of Lie point symmetry in the reduction of order of an ordinary differential equation. Subsequently the reverse process was also observed. Such symmetries were termed “hidden”. In each case the source of the “new” symmetry was a contact symmetry or a nonlocal symmetry, that is, a symmetry with one or more of the coefficient functions containing an integral. Recent work by Abraham-Shrauner and Govinder (2006) on the reduction of partial differential equations demonstrates that it is possible for these “hidden” symmetries to have a point origin. In this paper we show that the same phenomenon can be observed in the reduction of ordinary differential equations and in a sense loosen the interpretation of hidden symmetries.
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  • 7
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    Analytical and Semi-Analytical Treatment of the Satellite Motion in a Resisting Medium (2012)
    Hindawi
    Details
    Publication Date: 2012-02-13
    Description: The orbital dynamics of an artificial satellite in the Earth's atmosphere is considered. An analytic first-order atmospheric drag theory is developed using Lagrange's planetary equations. The short periodic perturbations due to the geopotential of all orbital elements are evaluated. And to construct a second-order analytical theory, the equations of motion become very complicated to be integrated analytically; thus we are forced to integrate them numerically using the method of Runge-Kutta of fourth order. The validity of the theory is checked on the already decayed Indian satellite ROHINI where its data are available.
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  • 8
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    A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method (2012)
    Hindawi
    Details
    Publication Date: 2012-02-13
    Description: A numerical method to solve Lane-Emden equations as singular initial value problems is presented in this work. This method is based on the replacement of unknown functions through a truncated series of hybrid of block-pulse functions and Chebyshev polynomials. The collocation method transforms the differential equation into a system of algebraic equations. It also has application in a wide area of differential equations. Corresponding numerical examples are presented to demonstrate the accuracy of the proposed method.
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  • 9
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    Statistical Behavior of a Financial Model by Lattice Fractal Sierpinski Carpet Percolation (2012)
    Hindawi
    Details
    Publication Date: 2012-02-13
    Description: The lattice fractal Sierpinski carpet and the percolation theory are applied to develop a new random stock price for the financial market. Percolation theory is usually used to describe the behavior of connected clusters in a random graph, and Sierpinski carpet is an infinitely ramified fractal. In this paper, we consider percolation on the Sierpinski carpet lattice, and the corresponding financial price model is given and investigated. Then, we analyze the statistical behaviors of the Hong Kong Hang Seng Index and the simulative data derived from the financial model by comparison.
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  • 10
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    The Effects of Chemical Reaction, Hall, and Ion-Slip Currents on MHD Micropolar Fluid Flow with Thermal Diffusivity Using a Novel Numerical Technique (2012)
    Hindawi
    Details
    Publication Date: 2012-02-17
    Description: The problem of magnetomicropolar fluid flow, heat, and mass transfer with suction through a porous medium is numerically analyzed. The problem was studied under the effects of chemical reaction, Hall, ion-slip currents, and variable thermal diffusivity. The governing fundamental conservation equations of mass, momentum, angular momentum, energy, and concentration are converted into a system of nonlinear ordinary differential equations by means of similarity transformation. The resulting system of coupled nonlinear ordinary differential equations is the then solved using a fairly new technique known as the successive linearization method together with the Chebyshev collocation method. A parametric study illustrating the influence of the magnetic strength, Hall and ion-slip currents, Eckert number, chemical reaction and permeability on the Nusselt and Sherwood numbers, skin friction coefficients, velocities, temperature, and concentration was carried out.
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