Found 595 Documents (Results 1–100)
The direct RBF-based partition of unity method for solving nonlinear fractional parabolic equations. (English) Zbl 07855379
A time-domain local radial basis function collocation method for the band structure analysis of 2D anti-plane phononic crystals. (English) Zbl 07855342
Numerical solutions of a class of linear and nonlinear Volterra integral equations of the third kind using collocation method based on radial basis functions. (English) Zbl 07846883
Weight calculation and convergence analysis of polyharmonic spline (PHS) with polynomials for different stencils. (English) Zbl 1542.65179
Collocation methods for integral fractional Laplacian and fractional PDEs based on radial basis functions. (English) Zbl 07833986
Inverse parameter estimation using compressed sensing and POD-RBF reduced order models. (English) Zbl 1539.65140
A computational approach for solving third kind VIEs by collocation method based on radial basis functions. (English) Zbl 1536.65168
An improved local radial basis function method for solving small-strain elasto-plasticity. (English) Zbl 1536.74029
Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods. (English) Zbl 1534.65213
Numerical simulation of the time fractional Gray-Scott model on 2D space domains using radial basis functions. (English) Zbl 1534.65209
The novel backward substitution method for the simulation of three-dimensional time-harmonic elastic wave problems. (English) Zbl 1534.65258
Construction of contraction metrics for discrete-time dynamical systems using meshfree collocation. (English) Zbl 1533.65250
A novel and fully automated coordinate system transformation scheme for near optimal surrogate construction. (English) Zbl 1539.65134
Energy-stable global radial basis function methods on summation-by-parts form. (English) Zbl 1535.65292
Reviewer: Temur A. Jangveladze (Tbilisi)
Unisolvence of unsymmetric random Kansa collocation by Gaussians and other analytic RBF vanishing at infinity. arXiv:2405.18550
Preprint, arXiv:2405.18550 [math.NA] (2024).
Underdetermined Fourier Extensions for Partial Differential Equations on Surfaces. arXiv:2401.04328
Preprint, arXiv:2401.04328 [math.NA] (2024).
Application extension of the meshless local Petrov-Galerkin method: non-Newtonian fluid flow implementations. (English) Zbl 1539.76109
A new analytical approach for the local radial point interpolation discretisation in space and applications to high-order in time schemes for two-dimensional fractional PDEs. (English) Zbl 1537.65147
The elastoplastic large deformation analysis based on meshless radial basis reproducing kernel particle method. (English) Zbl 1537.74377
Enriched MQ-H-RPIM method optimized by M-PSO algorithm and Voronoi discretization to estimation of the 3D-SIF’s in fracture mechanics problems. (English) Zbl 1537.74380
Radial basis function-based differential quadrature for dam break problems. (English) Zbl 1537.76016
A stable radial basis function partition of unity method for solving convection-diffusion equations on surfaces. (English) Zbl 1537.65106
A reduced-order model based on integrated radial basis functions with partition of unity method for option pricing under jump-diffusion models. (English) Zbl 1537.91356
Simulation of the coupled Schrödinger-Boussinesq equations through integrated radial basis functions-partition of unity method. (English) Zbl 1543.65168
On the approximate solution of dynamic systems derived from the HIV infection of CD\(_4^+\) T cells using the LRBF-collocation scheme. (English) Zbl 1539.92004
A stable RBF-FD method for solving two-dimensional variable-order time fractional advection-diffusion equation. (English) Zbl 1539.65133
Localized RBF methods for modeling infiltration using the Kirchhoff-transformed Richards equation. (English) Zbl 1539.76207
Fictitious finite integration method for solving high order partial differential equations. (English) Zbl 1539.65137
Stabilizing radial basis functions techniques for a local boundary integral method. (English) Zbl 1531.65266
Time discretization for modeling migration of groundwater contaminant in the presence of micro-organisms via a semi-analytic method. (English) Zbl 1538.65428
Local radial basis function collocation method preserving maximum and monotonicity principles for nonlinear differential equations. (English) Zbl 1535.65243
A novel local Hermite radial basis function-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation with Neumann boundary conditions. (English) Zbl 1535.65229
Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise. (English) Zbl 1528.78004
A local meshfree radial point interpolation method for Berger equation arising in modelling of thin plates. (English) Zbl 1525.65130
Convergence of non-stationary semi-discrete RBF schemes for the heat and wave equation. (English) Zbl 1531.41002
Reviewer: Martin D. Buhmann (Gießen)
Meshfree methods for nonlinear equilibrium radiation diffusion equation with jump coefficient. (English) Zbl 1538.65421
Simulation of heat conduction in complex domains of multi-material composites using a meshless method. (English) Zbl 07736228
A fully implicit method using nodal radial basis functions to solve the linear advection equation. (English) Zbl 1524.65651
A localized Fourier collocation method for solving high-order partial differential equations. (English) Zbl 1514.65184
Guidelines for RBF-FD discretization: numerical experiments on the interplay of a multitude of parameter choices. (English) Zbl 1516.65010
An RBF-FD method for the time-fractional advection-dispersion equation with nonlinear source term. (English) Zbl 1521.65101
The local radial basis function collocation method for elastic wave propagation analysis in 2D composite plate. (English) Zbl 1521.74395
A de-singularized meshfree approach to default probability estimation under a regime-switching synchronous-jump tempered stable Lévy model. (English) Zbl 1521.91385
Experimental and numerical analysis of hyperelastic plates using Mooney-Rivlin strain energy function and meshless collocation method. (English) Zbl 1521.74414
Application of compact local integrated RBF (CLI-RBF) for solving transient forward and backward heat conduction problems with continuous and discontinuous sources. (English) Zbl 1521.65068
Meshfree methods for two-dimensional three-temperature radiation diffusion equations. (English) Zbl 1521.74228
Summation-by-parts operators for general function spaces. (English) Zbl 1529.65066
Reviewer: Jan Giesselmann (Darmstadt)
Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation. (English) Zbl 1538.65437
Choosing the best value of shape parameter in radial basis functions by leave-P-out cross validation. (English) Zbl 1524.65079
A polynomial-augmented RBF collocation method for fourth-order boundary value problems. (English) Zbl 1538.65579
Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws. (English) Zbl 1504.65226
Localized meshless approaches based on theta method and BDF2 for nonlinear Sobolev equation arising from fluid dynamics. (English) Zbl 1504.65176
Adaptive selection strategy of shape parameters for LRBF for solving partial differential equations. (English) Zbl 1511.65023
A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels. (English) Zbl 1500.65082
Temperature distribution in living tissue with two-dimensional parabolic bioheat model using radial basis function. (English) Zbl 1541.65127
Saha Ray, Santanu (ed.) et al., Applied analysis, computation and mathematical modelling in engineering. Select proceedings of AACMME 2021, Rourkela, India, February 24–26, 2021. Singapore: Springer. Lect. Notes Electr. Eng. 897, 363-374 (2022).
Radial basis function partition of unity procedure combined with the reduced-order method for solving Zakharov-Rubenchik equations. (English) Zbl 1539.65135
A hybrid LRBF-DQ method for solving nonlinear (2 + 1) dimensional initial-boundary value problems. (English) Zbl 1539.65138
Coupled flow and transport simulation involving rate-limited adsorption in highly heterogeneous unconfined aquifers using a local strong form meshless method. (English) Zbl 1539.76005
A 3D meshless radial basis reproducing kernel particle model for elastoplastic analysis of temperature-dependent FG plates resting on Winkler/Pasternak foundation. (English) Zbl 1537.74388
Solution of time-fractional stochastic nonlinear sine-Gordon equation via finite difference and meshfree techniques. (English) Zbl 1531.65117
Numerical solution of fractional Dullin-Gottwald-Holm equation for solitary shallow water waves. (English) Zbl 1533.65200
Integrated radial basis functions to simulate modified anomalous sub-diffusion equation. (English) Zbl 1533.65114
Local knot method for solving inverse Cauchy problems of Helmholtz equations on complicated two- and three-dimensional domains. (English) Zbl 1527.65119
Numerical solution of space-time variable fractional order advection-dispersion equation using radial basis functions. (English) Zbl 1538.65423
Numerical solution of one-dimensional sine-Gordon equation using rational radial basis functions. (English) Zbl 1524.65686
A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions. (English) Zbl 1524.65673
An improved radial basis functions method for the high-order Volterra-Fredholm integro-differential equations. (English) Zbl 1510.65326
Solution of the Liouville-Caputo time- and Riesz space-fractional Fokker-Planck equation via radial basis functions. (English) Zbl 1508.65146
Solitary wave propagation of the generalized Kuramoto-Sivashinsky equation in fragmented porous media. (English) Zbl 1509.76015
Training RBF neural networks for the solution of elliptic boundary value problems. (English) Zbl 1524.65890
Acceleration of RBF-FD meshless phase-field modelling of dendritic solidification by space-time adaptive approach. (English) Zbl 1524.65334
Simulation of Maxwell equation based on an ADI approach and integrated radial basis function-generalized moving least squares (IRBF-GMLS) method with reduced order algorithm based on proper orthogonal decomposition. (English) Zbl 1521.78016
Meshless symplectic and multi-symplectic algorithm for Klein-Gordon-Schrödinger system with local RBF collocation. (English) Zbl 1521.65107
Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces. (English) Zbl 1521.65105
A hybrid wavelet-meshless method for variable-order fractional regularized long-wave equation. (English) Zbl 1521.65098
Numerical study of high order nonlinear dispersive PDEs using different RBF approaches. (English) Zbl 1504.35447
Space-time backward substitution method for nonlinear transient heat conduction problems in functionally graded materials. (English) Zbl 1524.65696
A local scheme for numerical simulation of multi-dimensional dynamic quantum model: application to decision-making. (English) Zbl 1497.65189
Space-time localized polynomial basis functions for solving parabolic and hyperbolic equations. (English) Zbl 1513.65400
Solving PDEs with a hybrid radial basis function: power-generalized multiquadric kernel. (English) Zbl 1513.65486
Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations. (English) Zbl 07568553
The effect of inclined periodic magnetic field on natural convection flow of Al\(_2\)O\(_3\)-Cu/water nanofluid inside right isosceles triangular closed spaces. (English) Zbl 1521.76744
Coupled Kansa and hybrid optimization methodological approach for Kolmogorov-Feller equations. (English) Zbl 1521.65106
Meshless and homotopy perturbation methods for one dimensional inverse heat conduction problem with Neumann and Robin boundary conditions. (English) Zbl 1513.65337
A meshfree technique for the numerical solutions of nonlinear Fornberg-Whitham and Degasperis-Procesi equations with their modified forms. (English) Zbl 1513.65421
A meshless multi-symplectic local radial basis function collocation scheme for the “good” Boussinesq equation. (English) Zbl 1510.65270
A novel localized collocation solver based on a radial Trefftz basis for thermal conduction analysis in FGMs with exponential variations. (English) Zbl 1524.65471
Convergence estimates for stationary radial basis function interpolation and for semi-discrete collocation-schemes. (English) Zbl 1511.41001
Reviewer: Francisco Pérez Acosta (La Laguna)
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