5 Result(s)
within
**aoyong Xu
Mathematics
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Article
Open AccessNumerical solutions for the linear and nonlinear singular boundary value problems using Laguerre wavelets
In this paper, a collocation method based on Laguerre wavelets is proposed for the numerical solutions of linear and nonlinear singular boundary value problems. Laguerre wavelet expansions together with operat...
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Article
Legendre Wavelets Direct Method for the Numerical Solution of Time-Fractional Order Telegraph Equations
In this paper, a Legendre wavelet collocation method for solving a class of time-fractional order telegraph equation defined by Caputo sense is discussed. Fractional integral formula of a single Legendre wavel...
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Article
Numerical integration method for triple integrals using the second kind Chebyshev wavelets and Gauss–Legendre quadrature
In this paper, a computational method combining the second kind Chebyshev wavelets and Gauss–Legendre quadrature is proposed for numerical integrations of arbitrary functions over regions like cuboid, tetrahed...
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Article
A semi-discrete scheme for solving fourth-order partial integro-differential equation with a weakly singular kernel using Legendre wavelets method
In this paper, a semi-discrete scheme is presented for solving fourth-order partial integro-differential equations with a weakly singular kernel. The second-order backward difference formula is used to discret...
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Article
Open AccessA high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction–subdiffusion equation
In this paper, a high-order numerical scheme is proposed for solving the two-dimensional fractional reaction–subdiffusion equation. The method is based on adopting a third-order weighted and shifted Grünwald d...
