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  1. No Access

    Article

    A Weighted ADI Scheme for Subdiffusion Equations

    A weighted ADI scheme is proposed for solving two-dimensional anomalous diffusion equations with the fractional Caputo derivative. The Alikhanov formula (J Comput Phys 280:424–438, 2015) with a weaker assumption ...

    Hong-lin Liao, Ying Zhao, **ng-hu Teng in Journal of Scientific Computing (2016)

  2. No Access

    Article

    Stability and Convergence of Modified Du Fort–Frankel Schemes for Solving Time-Fractional Subdiffusion Equations

    A class of modified Du Fort–Frankel-type schemes is investigated for fractional subdiffusion equations in the Jumarie’s modified Riemann–Liouville form with constant, variable or distributed fractional order. ...

    Hong-lin Liao, Ya-nan Zhang, Ying Zhao, Han-sheng Shi in Journal of Scientific Computing (2014)

  3. No Access

    Article

    A meshless method using the Takagi–Sugeno fuzzy model

    This article proposes a new strong-form meshless method using the Takagi–Sugeno fuzzy model (MTSF) for solving differential equations (DEs). Considering the conventional fuzzy model, the fuzzy inference system...

    Ying-Po Liao, Shiu-Shin Lin in Journal of Engineering Mathematics (2012)