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Fasshauer meshfree methods chaper 14
Fasshauer meshfree methods chaper 14





fasshauer meshfree methods chaper 14

Shi, Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation, Appl. Anh, The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation, J. Burrage, Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain, J. Bazhlekov, Subordination approach to multi-term time-fractional diffusion-wave equations, J. Reeves, Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications, Adv. Rai, A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues, Math. Yang, Multi-term time-fractional Bloch equations and application in magnetic resonance imaging, J. Dehghan, An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate, Numer. Meshfree numerical integration for some challenging multi-term fractional order PDEs.

  • Caputo and Grünwald-Letnikov derivatives,Ĭitation: Abdul Samad, Imran Siddique, Fahd Jarad.
  • Stability and convergence analysis are also discussed. The accuracy of the suggested scheme is analyzed by using $ L_\infty $-norm. Riesz fractional derivative and Grünwald-Letnikov fractional derivative techniques are used to deal the space fractional derivative terms while the time-fractional derivatives are iterated by Caputo derivative method. The meshfree RBF method base on the Gaussian function and is used to test the numerical results of the time-space fractional PDE problems. In this article, the meshfree numerical scheme, Radial basis function (RBF) is discussed for some time-space fractional PDEs. Different numerical techniques have been adopted to deal the multi-term FPDEs.

    fasshauer meshfree methods chaper 14

    Fractional partial differential equations (PDEs) have key role in many physical, chemical, biological and economic problems.







    Fasshauer meshfree methods chaper 14