Found 34 Documents (Results 1–34)
A space-time Galerkin Müntz spectral method for the time fractional Fokker-Planck equation. (English) Zbl 07880533
An \(\alpha\)-robust and second-order accurate scheme for a subdiffusion equation. (English) Zbl 07846589
Quadrature of functions with endpoint singular and generalised polynomial behaviour in computational physics. (English) Zbl 1537.65021
Solvability and convergence analysis of a transformed \(\mathrm{L}1\) finite difference scheme for TFMBE models without slope selection. (English) Zbl 1537.65104
A novel spectral method for the subdiffusion equation. (English) Zbl 07927610
Melenk, Jens M. (ed.) et al., Spectral and high order methods for partial differential equations ICOSAHOM 2020+1. Selected papers from the ICOSAHOM conference, Vienna, Austria, July 12–16, 2021. Cham: Springer. Lect. Notes Comput. Sci. Eng. 137, 67-100 (2023).
Numerical approximations for the nonlinear time fractional reaction-diffusion equation. (English) Zbl 07776966
An exponential spectral method using VP means for semilinear subdiffusion equations with rough data. (English) Zbl 1529.65102
Simultaneous inversion of the space-dependent source term and the initial value in a time-fractional diffusion equation. (English) Zbl 1519.35370
Local error estimates of the fourth-order compact difference scheme for a time-fractional diffusion-wave equation. (English) Zbl 07691999
Optimal pointwise-in-time error analysis of a mixed finite element method for a multi-term time-fractional fourth-order equation. (English) Zbl 07667342
A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions. (English) Zbl 07654058
Fractional Romanovski-Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions. (English) Zbl 1500.65080
An effective finite element method with shifted fractional powers bases for fractional boundary value problems. (English) Zbl 1496.65092
\(\alpha\)-robust \(H^1\)-norm analysis of a finite element method for the superdiffusion equation with weak singularity solutions. (English) Zbl 1524.65507
Local \(H^1\)-norm error analysis of a mixed finite element method for a time-fractional biharmonic equation. (English) Zbl 1484.65222
New spectral element method for Volterra integral equations with weakly singular kernel. (English) Zbl 1483.65234
Analysis of Legendre pseudospectral approximations for nonlinear time fractional diffusion-wave equations. (English) Zbl 07479092
Fast and efficient finite difference/finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equation. (English) Zbl 1508.65125
A Petrov-Galerkin spectral method for the numerical simulation and analysis of fractional anomalous diffusion. (English) Zbl 1486.65201
Reconstruction of the time-dependent source term in a stochastic fractional diffusion equation. (English) Zbl 1464.35399
Variational formulation for fractional inhomogeneous boundary value problems. (English) Zbl 1459.65219
Reviewer: Dana Černá (Liberec)
A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition. (English) Zbl 1442.65152
A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions. (English) Zbl 1434.65291
Space-time finite element method for the distributed-order time fractional reaction diffusion equations. (English) Zbl 1434.65177
Reviewer: Hu Chen (Beijing)
Müntz spectral method for two-dimensional space-fractional convection-diffusion equation. (English) Zbl 1518.65117
Space-time finite element method for the multi-term time-space fractional diffusion equation on a two-dimensional domain. (English) Zbl 1442.65252
Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. (English) Zbl 1440.65138
A Müntz-collocation spectral method for weakly singular Volterra integral equations. (English) Zbl 1443.65440
Reviewer: Vladimir S. Pilidi (Rostov-na-Donu)
Galerkin spectral method for nonlinear time fractional cable equation with smooth and nonsmooth solutions. (English) Zbl 1429.65248
An exponentially convergent scheme in time for time fractional diffusion equations with non-smooth initial data. (English) Zbl 1416.65473
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