Found 56 Documents (Results 1–56)
Identifying temperature distribution and source term for generalized diffusion equation with arbitrary memory kernel. (English) Zbl 07869359
A numerical approach to solve 2D fractional RADE of variable-order with Vieta-Lucas polynomials. (English) Zbl 07853158
A modified RBF collocation method for solving the convection-diffusion problems. (English) Zbl 1522.65230
An accuracy analysis framework for meshfree collocation methods with particular emphasis on boundary effects. (English) Zbl 1536.65155
MSC:
65N35
A modified Tikhonov regularization for unknown source in space fractional diffusion equation. (English) Zbl 1506.35281
On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay. (English) Zbl 1496.65143
Meshless and homotopy perturbation methods for one dimensional inverse heat conduction problem with Neumann and Robin boundary conditions. (English) Zbl 1513.65337
The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations. (English) Zbl 07533815
A meshless method for numerical solutions of non-homogeneous differential equation with variable delays. (English) Zbl 1524.65242
MSC:
65L03
Regularization of inverse source problem for fractional diffusion equation with Riemann-Liouville derivative. (English) Zbl 1476.65285
A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov-Rubenchik equations. (English) Zbl 1508.65145
Appl. Math. Comput. 394, Article ID 125787, 16 p. (2021); corrigendum ibid. 418, Article ID 126852, 2 p. (2022).
A meshless method for time fractional nonlinear mixed diffusion and diffusion-wave equation. (English) Zbl 1459.65137
A hybrid radial basis functions collocation technique to numerically solve fractional advection-diffusion models. (English) Zbl 07777647
Solving the Riesz-Feller space-fractional backward diffusion problem by a generalized Tikhonov method. (English) Zbl 1485.35411
A meshless solution for the variable-order time fractional nonlinear Klein-Gordon equation. (English) Zbl 1461.65245
Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation. (English) Zbl 1440.74466
Identification of a time-dependent right-hand side of an unsteady equation with a fractional power of an elliptic operator. (English) Zbl 07223016
Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 12th international conference, LSSC 2019, Sozopol, Bulgaria, June 10–14, 2019. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11958, 105-112 (2020).
MSC:
65-XX
Adaptive procedures for meshfree RBF unsymmetric and symmetric collocation methods. (English) Zbl 1474.65337
A meshless local collocation method for time fractional diffusion wave equation. (English) Zbl 1442.65293
A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications. (English) Zbl 1428.34001
Fractional sensitivity equation method: application to fractional model construction. (English) Zbl 1448.35550
Identification of time-dependent convection coefficient in a time-fractional diffusion equation. (English) Zbl 1404.65145
Numerical method for the estimation of the fractional parameters in the fractional mobile/immobile advection-diffusion model. (English) Zbl 1499.65473
Distinguishability of a source function in a time fractional inhomogeneous parabolic equation with Robin boundary condition. (English) Zbl 1488.31014
Numerical inversion of the fractional derivative index and surface thermal flux for an anomalous heat conduction model in a multi-layer medium. (English) Zbl 1480.35389
Direct collocation method for identifying the initial conditions in the inverse wave problem using radial basis functions. (English) Zbl 1428.65036
Numerical inversions for diffusion coefficients in two-dimensional space fractional diffusion equation. (English) Zbl 1409.65062
POD/DEIM reduced-order modeling of time-fractional partial differential equations with applications in parameter identification. (English) Zbl 1404.65140
State parametrization method based on shifted Legendre polynomials for solving fractional optimal control problems. (English) Zbl 1381.49016
Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method. (English) Zbl 1377.65124
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
An inverse source problem for a two parameter anomalous diffusion equation with nonlocal boundary conditions. (English) Zbl 1386.35479
Determining the initial distribution in space-fractional diffusion by a negative exponential regularization method. (English) Zbl 1369.65137
Generalized Tikhonov method for the final value problem of time-fractional diffusion equation. (English) Zbl 1364.65187
A conditional Lipschitz stability for determining a space-dependent source coefficient in the 2D/3D advection-dispersion equation. (English) Zbl 1360.35321
Direct and inverse source problems for a space fractional advection dispersion equation. (English) Zbl 1377.35281
Fundamental kernel-based method for backward space-time fractional diffusion problem. (English) Zbl 1443.65174
Simultaneous inversion for a diffusion coefficient and a spatially dependent source term in the SFADE. (English) Zbl 1342.35436
A local meshless method for Cauchy problem of elliptic PDEs in annulus domains. (English) Zbl 1342.65209
DGMRES method augmented with eigenvectors for computing the Drazin-inverse solution of singular linear systems. (English) Zbl 1337.65032
The stability of formulae of the Gohberg-Semencul-Trench type for Moore-Penrose and group inverses of Toeplitz matrices. (English) Zbl 1334.15034
Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. (English) Zbl 1382.65290
Numerical solution and distinguishability in time fractional parabolic equation. (English) Zbl 1382.65291
An a posteriori Fourier regularization method for identifying the unknown source of the space-fractional diffusion equation. (English) Zbl 1516.35526
An iterative method for backward time-fractional diffusion problem. (English) Zbl 1314.65120
Reviewer: Seenith Sivasundaram (Daytona Beach)
A mollification regularization method for unknown source in time-fractional diffusion equation. (English) Zbl 1304.35755
Stable numerical solution to a Cauchy problem for a time fractional diffusion equation. (English) Zbl 1297.65115
A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation. (English) Zbl 1282.65141
MSC:
65N21
A posteriori regularization parameter choice rule for the quasi-boundary value method for the backward time-fractional diffusion problem. (English) Zbl 1311.65123
Identifying an unknown source in time-fractional diffusion equation by a truncation method. (English) Zbl 1273.65134
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