Found 290 Documents (Results 1–100)
Innovative coupling of \(\mathrm{s}\)-stage one-step and spectral methods for non-smooth solutions of nonlinear problems. (English) Zbl 07901889
A new approach of shifted Jacobi spectral Galerkin methods (SJSGM) for weakly singular Fredholm integral equation with non-smooth solution. (English) Zbl 07891509
A highly efficient and accurate divergence-free spectral method for the curl-curl equation in two and three dimensions. (English) Zbl 07881665
Superconvergence of Legendre spectral projection methods for \(m\)th order integro-differential equations with weakly singular kernels. (English) Zbl 1542.45008
Reviewer: Josef Kofroň (Praha)
Spectral central limit theorem for additive functionals of isotropic and stationary Gaussian fields. (English) Zbl 1534.60036
Numerical simulation of the time-fractional Fokker-Planck equation and applications to polymeric fluids. (English) Zbl 07811300
A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model. (English) Zbl 07797666
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
The solution of a hypersingular integral equation occurring in potential problems over an elliptic disc by a spectral method. (English) Zbl 1543.45003
Reviewer: David Kapanadze (Tbilisi)
A hybrid spectral approach based on 2D cardinal and classical second kind Chebyshev polynomials for time fractional 3D Sobolev equation. (English) Zbl 1536.35356
Numerical convergence and stability analysis for a nonlinear mathematical model of prostate cancer. (English) Zbl 1535.65235
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
An exponential spectral method using VP means for semilinear subdiffusion equations with rough data. (English) Zbl 1529.65102
Study of generalized regularized long wave equation via septic Hermite collocation method with Crank-Nicolson and SSP-RK43 schemes to capture the various solitons. (English) Zbl 1525.65104
An efficient nonlinear multigrid solver for the simulation of rarefied gas cavity flow. (English) Zbl 1522.76046
Solving nonlinear filtering problems with correlated noise based on Hermite-Galerkin spectral method. (English) Zbl 1520.93576
A novel approach for multi dimensional fractional coupled Navier-Stokes equation. (English) Zbl 1517.65097
On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. (English) Zbl 1519.65043
Reviewer: Bülent Karasözen (Ankara)
A multi-domain Galerkin method with numerical integration for the Burgers equation. (English) Zbl 1524.65688
Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations. (English) Zbl 1514.65182
Physics-based adaptivity of a spectral method for the Vlasov-Poisson equations based on the asymmetrically-weighted Hermite expansion in velocity space. (English) Zbl 07697005
Gradient reproducing kernel based Hermite collocation method (GHCM) for eigenvalue analysis of functionally graded thin plates with in-plane material. (English) Zbl 1521.74397
A spectral approach to non-linear weakly singular fractional integro-differential equations. (English) Zbl 1509.45002
An improvised technique of quintic Hermite splines to discretize generalized Burgers-Huxley type equations. (English) Zbl 1522.65183
A priori error estimates for spectral Galerkin approximations of integral state-constrained fractional optimal control problems. (English) Zbl 1524.65902
Composite spectral method for the Neumann problem of the Burgers equation on the half line. (English) Zbl 1538.65436
Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions. (English) Zbl 1508.65138
Reviewer: Marius Ghergu (Dublin)
A wavelet collocation method based on Gegenbauer scaling function for solving fourth-order time-fractional integro-differential equations with a weakly singular kernel. (English) Zbl 1508.65140
Reviewer: Dana Černá (Liberec)
Numerical simulation of time variable fractional order mobile-immobile advection-dispersion model based on an efficient hybrid numerical method with stability and convergence analysis. (English) Zbl 1540.65429
Spectral Galerkin method for state constrained optimal control of fractional advection-diffusion-reaction equations. (English) Zbl 1533.65241
Higher-order algorithms for stable solutions of fractional time-dependent nonlinear telegraph equations in space. (English) Zbl 1533.65202
Jacobi collocation method for the fractional advection-dispersion equation arising in porous media. (English) Zbl 1535.65239
Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations. (English) Zbl 07678011
Modified Legendre rational spectral method for Burgers equation on the whole line. (English) Zbl 1538.65432
A generalization of Müntz-Legendre polynomials and its implementation in optimal control of nonlinear fractional delay systems. (English) Zbl 1505.34101
A spectrally accurate time-space pseudospectral method for reaction-diffusion malaria infection model. (English) Zbl 1513.65413
Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel. (English) Zbl 1513.65398
Analytical solution of the Klein-Fock-Gordon equation for the modified Klingberg plus ring shaped potentials. (English. Russian original) Zbl 1515.81096
Russ. Phys. J. 65, No. 2, 226-236 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 2, 29-37 (2022).
On an approach to numerical solutions of the Dirichlet problem of an arbitrary dimension. (Russian. English summary) Zbl 1539.65192
Fractional Romanovski-Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions. (English) Zbl 1500.65080
Effective numerical technique for solving variable order integro-differential equations. (English) Zbl 1496.65177
Robust shifted Jacobi-Galerkin method for solving linear hyperbolic telegraph type equation. (English) Zbl 1495.65181
Non-polynomial spectral-Galerkin method for time-fractional diffusion equation on unbounded domain. (English) Zbl 1496.65175
Numerical simulation method of lines together with a pseudospectral method for solving space-time partial differential equations with space left- and right-sided fractional derivative. (English) Zbl 1513.65333
A spectral method based on Bernstein orthonormal basis functions for solving an inverse Roseneau equation. (English) Zbl 1513.65339
A compatible Hermite-Taylor matrix-collocation technique with convergence test for second-order partial integro-differential equations containing two independent variables with functional bounds. (English) Zbl 1486.65213
Collocation approaches to the mathematical model of an Euler-Bernoulli beam vibrations. (English) Zbl 1540.74081
On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. (English) Zbl 07517167
Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin-Huxley equation. (English) Zbl 1499.65562
Conservative discontinuous Galerkin/Hermite spectral method for the Vlasov-Poisson system. (English) Zbl 1499.76096
A fully discrete pseudospectral method for the nonlinear Fokker-Planck equations on the whole line. (English) Zbl 1484.65275
A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods. (English) Zbl 07776037
The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations. (English) Zbl 1527.76047
Hermite spectral method for Fokker-Planck-Landau equation modeling collisional plasma. (English) Zbl 07508535
A cubic trigonometric B-spline collocation method based on Hermite formula for the numerical solution of the heat equation with classical and non-classical boundary conditions. (English) Zbl 1480.65300
Spectral method for multi-dimensional problems of high order on unbounded domains using generalized Laguerre functions. (English) Zbl 1501.65083
Numerical studies of the fractional Korteweg-de Vries, Korteweg-de Vries-Burgers’ and Burgers’ equations. (English) Zbl 1490.65223
Optical solitons for Chen-Lee-Liu equation with two spectral collocation approaches. (English) Zbl 1478.78053
A meshless Hermite weighted least-square method for piezoelectric structures. (English) Zbl 1508.78015
Septic Hermite collocation method for the numerical solution of Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 1528.65087
Efficient scaling and moving techniques for spectral methods in unbounded domains. (English) Zbl 1484.65277
Error estimate for indirect spectral approximation of optimal control problem governed by fractional diffusion equation with variable diffusivity coefficient. (English) Zbl 1507.65196
Reviewer: Michael Jung (Dresden)
Second-order SAV schemes for the nonlinear Schrödinger equation and their error analysis. (English) Zbl 1491.65111
A fast solver of Legendre-Laguerre spectral element method for the Camassa-Holm equation. (English) Zbl 1484.65278
Radial point interpolation collocation method based approximation for 2D fractional equation models. (English) Zbl 1524.65667
Numerical investigation of variable-order fractional Benjamin-Bona-Mahony-Burgers equation using a pseudo-spectral method. (English) Zbl 1486.65197
Spectral collocation method for a class of fractional diffusion differential equations with nonsmooth solutions. (English) Zbl 1495.65183
Reviewer: Anouar Ben Mabrouk (Monastir)
Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval. (English) Zbl 1465.65154
Efficient Hermite spectral methods for space tempered fractional diffusion equations. (English) Zbl 1468.65162
An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives. (English) Zbl 1458.60073
A Hermite spectral method for fractional convection diffusion equations on unbounded domains. (English) Zbl 1480.65301
A new approach for solving infinite horizon optimal control problems using Laguerre functions and Ritz spectral method. (English) Zbl 1490.76162
On the use of Hermite functions for the Vlasov-Poisson system. (English) Zbl 1484.65247
Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 143-153 (2020).
Generalized mapped nodal Laguerre spectral collocation method for Volterra delay integro-differential equations with noncompact kernels. (English) Zbl 1476.34045
The generalized Hermite spectral and pseudospectral methods for solving the problem of numerical differentiation. (English) Zbl 1474.65394
\(L^\infty \)-BMO bounds for pseudo-multipliers associated with the harmonic oscillator. (English) Zbl 1466.81017
Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations. (English) Zbl 1488.65525
A matched Hermite-Taylor matrix method to solve the combined partial integro-differential equations having nonlinearity and delay terms. (English) Zbl 1463.65434
Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth data. (English) Zbl 1451.65209
A new implementation of DRM with dual interpolation boundary face method for Poisson equation. (English) Zbl 1464.65205
MSC:
65N35
The Jacobi spectral collocation method for fractional integro-differential equations with non-smooth solutions. (English) Zbl 1448.65084
Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity. (English. Russian original) Zbl 1445.81021
Theor. Math. Phys. 202, No. 1, 17-29 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 20-33 (2020); correction ibid. 205, No. 1, 1391 (2020).
Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains. (English) Zbl 1446.65126
Numerical approaches to compute spectra of non-self adjoint operators and quadratic pencils. (English) Zbl 1449.65308
Approximation to singular quadratic collision model in Fokker-Planck-Landau equation. (English) Zbl 1447.65101
Reviewer: Bülent Karasözen (Ankara)
Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. (English) Zbl 1435.65170
A generalized-Jacobi-function spectral method for space-time fractional reaction-diffusion equations with viscosity terms. (English) Zbl 1440.65152
Hermite-Sobolev orthogonal functions and spectral methods for second- and fourth-order problems on unbounded domains. (English) Zbl 1499.65703
Müntz spectral method for two-dimensional space-fractional convection-diffusion equation. (English) Zbl 1518.65117
Approximation of the Boltzmann collision operator based on Hermite spectral method. (English) Zbl 1453.65367
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