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Creators/Authors contains: "Khoa, Vo Anh"

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  1. ; (, Journal of Computational Physics)
    Free, publicly-accessible full text available October 1, 2026
  2. ; (, Communications on Analysis and Computation)
    Free, publicly-accessible full text available September 18, 2026
  3. ; ; ; (, Journal of Computational Science)
    Full Text Available 
  4. ; (, Applied Numerical Mathematics)
    This paper proposes an explicit Fourier-Klibanov method as a new approximation technique for an age-dependent population PDE of Gompertz type in modeling the evolution of tumor density in a brain tissue. Through suitable nonlinear and linear transformations, the Gompertz model of interest is transformed into an auxiliary third-order nonlinear PDE. Then, a coupled transport-like PDE system is obtained via an application of the Fourier-Klibanov method, and, thereby, is approximated by the explicit finite difference operators of characteristics. The stability of the resulting difference scheme is analyzed under the standard 2-norm topology. Finally, we present some computational results to demonstrate the effectiveness of the proposed method. 
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