Found 82 Documents (Results 1–82)
Fractional differential quadrature techniques for fractional order Cauchy reaction-diffusion equations. (English) Zbl 1530.65134
Numerical method for solving two-dimensional of the space and space-time fractional coupled reaction-diffusion equations. (English) Zbl 1538.65415
A new fast predictor-corrector method for nonlinear time-fractional reaction-diffusion equation with nonhomogeneous terms. (English) Zbl 1511.65087
A new outlook for analysis of Noyes-Field model for the nonlinear Belousov-Zhabotinsky reaction using operator splitting method. (English) Zbl 1538.76230
Novel superconvergence analysis of anisotropic triangular FEM for a multi-term time-fractional mixed sub-diffusion and diffusion-wave equation with variable coefficients. (English) Zbl 1533.65183
A fractional system of Cauchy-reaction diffusion equations by adopting Robotnov function. (English) Zbl 1536.35358
Solution of the Liouville-Caputo time- and Riesz space-fractional Fokker-Planck equation via radial basis functions. (English) Zbl 1508.65146
Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations. (English) Zbl 1503.65181
Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities. (English) Zbl 1493.35123
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 1, 193-228 (2022).
On \(\tau\) matrix-based approximate inverse preconditioning technique for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations. (English) Zbl 1485.65029
An open-source parallel code for computing the spectral fractional Laplacian on 3D complex geometry domains. (English) Zbl 07690829
Dynamics of pattern formation process in fractional-order super-diffusive processes: a computational approach. (English) Zbl 1498.92005
An efficient spectral-Galerkin method for fractional reaction-diffusion equations in unbounded domains. (English) Zbl 07511437
Error estimate of a fully discrete local discontinuous Galerkin method for variable-order time-fractional diffusion equations. (English) Zbl 1499.65538
A numerical method based on three-dimensional Legendre wavelet method for two-dimensional time-fractional diffusion equation. (English) Zbl 1505.65272
An efficient matrix approach for the numerical solutions of electromagnetic wave model based on fractional partial derivative. (English) Zbl 1486.65173
Reviewer: Eugene Postnikov (Kursk)
A modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equations. (English) Zbl 1487.35410
Collocation method for time fractional diffusion equation based on the Chebyshev polynomials of second kind. (English) Zbl 1466.65158
Asymptotic analysis of a tumor growth model with fractional operators. (English) Zbl 1476.35284
Reviewer: Catalin Popa (Iaşi)
A generalization of trigonometric transform splitting methods for spatial fractional diffusion equations. (English) Zbl 1443.65140
Local discontinuous Galerkin scheme for space fractional Allen-Cahn equation. (English) Zbl 1463.65301
A numerical approach for a class of time-fractional reaction-diffusion equation through exponential B-spline method. (English) Zbl 1442.65213
Reviewer: Ahmed M. A. El-Sayed (Alexandria)
On an accurate discretization of a variable-order fractional reaction-diffusion equation. (English) Zbl 1509.65071
A fractional alternating-direction implicit method for a multi-term time-space fractional Bloch-Torrey equations in three dimensions. (English) Zbl 1442.65154
Study and analysis of a two-dimensional nonconservative fractional order aerosol transport equation. (English) Zbl 1418.35369
Efficient time discretization scheme for nonlinear space fractional reaction-diffusion equations. (English) Zbl 1499.65395
Numerical solution of space fractional diffusion equation by the method of lines and splines. (English) Zbl 1427.65218
Exponential integrator methods for systems of non-linear space-fractional models with super-diffusion processes in pattern formation. (English) Zbl 1419.65022
Analysis of the spectral meshless radial point interpolation for solving fractional reaction-subdiffusion equation. (English) Zbl 1462.76134
Numerical simulation with high order accuracy for the time fractional reaction-subdiffusion equation. (English) Zbl 1532.65046
Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order. (English) Zbl 1465.65108
Domain decomposition methods for space fractional partial differential equations. (English) Zbl 1380.65403
Well-posedness and dynamics of a fractional stochastic integro-differential equation. (English) Zbl 1378.37091
Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations. (English) Zbl 1358.65066
Moving finite element methods for a system of semi-linear fractional diffusion equations. (English) Zbl 1488.65447
An advanced numerical modeling for Riesz space fractional advection-dispersion equations by a meshfree approach. (English) Zbl 1471.65167
Fourier spectral methods for some linear stochastic space-fractional partial differential equations. (English) Zbl 1360.65035
Simultaneous inversion for a diffusion coefficient and a spatially dependent source term in the SFADE. (English) Zbl 1342.35436
Galerkin finite element method and error analysis for the fractional cable equation. (English) Zbl 1343.65125
Reviewer: Seenith Sivasundaram (Daytona Beach)
On the reconstruction of unknown time-dependent boundary sources for time fractional diffusion process by distributing measurement. (English) Zbl 1332.35397
A meshless numerical procedure for solving fractional reaction subdiffusion model via a new combination of alternating direction implicit (ADI) approach and interpolating element free Galerkin (EFG) method. (English) Zbl 1443.65189
Fast numerical solution for fractional diffusion equations by exponential quadrature rule. (English) Zbl 1352.65304
A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain. (English) Zbl 1349.65316
A finite difference method for fractional diffusion equations with Neumann boundary conditions. (English) Zbl 1515.35326
Mathematical modelling of spatial sorting and evolution in a host-parasite system. (English) Zbl 1343.92396
Reaction-advection-diffusion equations with space fractional derivatives and variable coefficients on infinite domain. (English) Zbl 1330.35503
A novel high order space-time spectral method for the time fractional Fokker-Planck equation. (English) Zbl 1320.82052
Numerical solution of fractional advection-diffusion equation with a nonlinear source term. (English) Zbl 1319.35290
Reviewer: Răzvan Răducanu (Iaşi)
Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. (English) Zbl 1305.65211
On the uniqueness and reconstruction for an inverse problem of the fractional diffusion process. (English) Zbl 1302.65215
A new fractional finite volume method for solving the fractional diffusion equation. (English) Zbl 1429.65213
Higher order finite difference method for the reaction and anomalous-diffusion equation. (English) Zbl 1429.65188
A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation. (English) Zbl 1408.65057
Convergence analysis of moving finite element methods for space fractional differential equations. (English) Zbl 1291.65303
Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. (English) Zbl 1339.65151
Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1990, Article ID 20120150, 18 p. (2013).
Numerical techniques for simulating a fractional mathematical model of epidermal wound healing. (English) Zbl 1325.92043
Maximum norm error estimates of ADI methods for a two-dimensional fractional subdiffusion equation. (English) Zbl 1291.65275
Two reliable wavelet methods to Fitzhugh-Nagumo (FN) and fractional FN equations. (English) Zbl 1286.65131
Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation. (English) Zbl 1278.65121
Reviewer: Snezhana Gocheva-Ilieva (Plovdiv)
Numerical identification of multiparameters in the space fractional advection dispersion equation by final observations. (English) Zbl 1264.65118
Finite element solutions for the space fractional diffusion equation with a nonlinear source term. (English) Zbl 1253.65148
Comparing numerical methods for solving time-fractional reaction-diffusion equations. (English) Zbl 1250.65128
Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation. (English) Zbl 1241.65077
Reviewer: Fernando Casas (Castellon)
Numerical inversions of a source term in the FADE with a Dirichlet boundary condition using final observations. (English) Zbl 1231.65158
Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term. (English) Zbl 1227.65072
Reviewer: Thomas Sonar (Braunschweig)
Fundamental solutions and Liouville type theorems for nonlinear integral operators. (English) Zbl 1209.45009
Reviewer: Kun Soo Chang (Seoul)
A fully discrete discontinuous Galerkin method for nonlinear fractional Fokker-Planck equation. (English) Zbl 1202.65157
Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term. (English) Zbl 1203.82068
A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations. (English) Zbl 1198.65176
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