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Charles Sturt University | School of Computing and Mathematics - Academia.edu
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Texture analysis is a basic issue in image processing and computer vision and how to attain the Rotation-invariant texture characterization is a key problem. This paper proposes a rotation-invariant texture analysis technique using Radon... more
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      EngineeringMathematicsComputer ScienceArtificial Intelligence
In this paper, an efficient spectral collocation method based on the shifted Legendre polynomials is applied to study the unsteady boundary-layer flow and heat transfer due to a stretching sheet. A similarity transformation is used to... more
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      MathematicsMathematical AnalysisSpectral methodEntropy generation
In this paper, a new method based on the Legendre wavelets expansion together with operational matrices of fractional integration and derivative of these basis functions is proposed to solve fractional partial differential equations with... more
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      MathematicsApplied MathematicsComputer ScienceWavelet
Although spectral methods such as Galerkin and Tau methods do not work well for solving ordinary differential equations in which, at least, one of the coefficient functions or solution function is not analytic [1], but it is shown that... more
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      EngineeringMathematicsOrdinary Differential EquationsComputer Science
The operational matrices of fractional-order integration for the Legendre and Chebyshev wavelets are derived. Block pulse functions and collocation method are employed to derive a general procedure for forming these matrices for both the... more
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      MathematicsApplied MathematicsComputer ScienceWavelet
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      MathematicsApplied MathematicsWaveletIntegral Equation
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    •   12  
      EngineeringMathematicsApplied MathematicsComputer Science
In this paper, the shifted Legendre polynomials are employed for solving the Falkner-Skan equation with heat transfer. The operational matrices of derivatives for shifted Legendre polynomial are derived. Then the shifted Legendre... more
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      MathematicsHeat TransferLegendre PolynomialsBoundary Value Problem
In this letter, the shifted Legendre polynomials are employed for solving the natural heat convection heat transfer. The operational matrix of derivative for the shifted Legendre polynomial are derived. Then the shifted Legendre... more
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      Computer SciencePhysicsBoundary Layer
In this article, a numerical method based on the fractional-order shifted Legendre polynomials (FSLPs) and their operational matrix of fractional integration is introduced for solving the fractional Bagley-Torvik equations. The main... more
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      MathematicsApplied MathematicsPure MathematicsPARTIAL DIFFERENTIAL EQUATION
‎Stochastic fractional differential equations (SFDEs) have been used for modeling many physical problems in the fields of turbulance‎, ‎heterogeneous‎, ‎flows and matrials‎, ‎viscoelasticity and electromagnetic theory‎. ‎In this paper‎,... more
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      MathematicsApplied MathematicsWaveletGalerkin Method
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      MathematicsPhysicsMechanicsMagnetohydrodynamics
An efficient Spectral Collocation method based on the shifted Legendre polynomials was applied to get solution of heat transfer of a micropolar fluid through a porous medium with radiation. A similarity transformation is applied to... more
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    •   7  
      MathematicsMathematical AnalysisThermal SciencePorous Medium
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      MathematicsApplied MathematicsWaveletPhysical sciences
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      MathematicsApplied MathematicsComputer ScienceWavelet
Numerical solution of the well-known Bagley-Torvik equation is considered. The fractional-order derivative in the equation is converted, approximately, to ordinary-order derivatives up to second order. Approximated Bagley-Torvik equation... more
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      MathematicsMathematical AnalysisFractional CalculusDifferential equation
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      MathematicsApplied MathematicsComputer ScienceTheory Of Computation
This paper deals with the Legendre wavelet (LW) collocation method for the numerical solution of the radial Schrodinger equation for hydrogen atom. Energy eigenvalues for the hydrogen bound system is derived -13.6 eV. Numerical results of... more
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      MathematicsPhysicsMathematical AnalysisHydrogen Atom
A new computational method based on Haar wavelets is proposed for solving multidimensional stochastic Itô-Volterra integral equations. The block pulse functions and their relations to Haar wavelets are employed to derive a general... more
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      MathematicsDiffusionAdvectionExponential Growth








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