Found 185 Documents (Results 1–100)
Stability analysis of sheared thermal boundary layers and its implication for modelling turbulent Rayleigh-Bénard convection. (English) Zbl 07858319
A novel method based on fractional order Gegenbauer wavelet operational matrix for the solutions of the multi-term time-fractional telegraph equation of distributed order. (English) Zbl 1540.35447
An operator splitting Legendre-tau spectral method for Maxwell’s equations with nonlinear conductivity in two dimensions. (English) Zbl 1522.65184
Legendre-tau Chebyshev collocation spectral element method for Maxwell’s equations with material interfaces of two dimensional transverse magnetic mode. (English) Zbl 1538.78017
A fully spectral tau method for a class of linear and nonlinear variable-order time-fractional partial differential equations in multi-dimensions. (English) Zbl 1540.65402
On \(\tau\)-preconditioner for a novel fourth-order difference scheme of two-dimensional Riesz space-fractional diffusion equations. (English) Zbl 1538.65246
Improved Gegenbauer spectral tau algorithms for distributed-order time-fractional telegraph models in multi-dimensions. (English) Zbl 07694958
MSC:
65Mxx
An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions. (English) Zbl 1524.65687
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)
Applying the Chebyshev-Tau spectral method to solve the parabolic equation model of wide-angle rational approximation in ocean acoustics. (English) Zbl 1533.76056
Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations. (English) Zbl 07678011
A Bernoulli Tau method for numerical solution of feedback Nash differential games with an error estimation. (English) Zbl 1524.91013
A numerical treatment based on Bernoulli tau method for computing the open-loop Nash equilibrium in nonlinear differential games. (English) Zbl 1506.65168
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
Fractional Romanovski-Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions. (English) Zbl 1500.65080
Convergence analysis of numerical solution of secon-order reaction-diffusion equation with boundary conditions. (Persian. English summary) Zbl 07588273
Compatibility of the Paraskevopoulos’s algorithm with operational matrices of Vieta-Lucas polynomials and applications. (English) Zbl 1540.65260
Numerical solution for solving fractional parabolic partial differential equations. (English) Zbl 1490.65225
On the convergence analysis of the Tau method applied to fourth-order partial differential equation based on Volterra-Fredholm integral equations. (English) Zbl 1484.65272
A new Jacobi tau method for fuzzy fractional Fredholm nonlinear integro-differential equations. (English) Zbl 1498.65225
A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations. (English) Zbl 07510067
Theoretical and spectral numerical study for fractional Van der Pol equation. (English) Zbl 1473.65232
Vieta-Fibonacci operational matrices for spectral solutions of variable-order fractional integro-differential equations. (English) Zbl 1471.65066
The flow structure in the narrow gaps of compound channels: a linear stability analysis. (English) Zbl 1500.76029
A tau method based on Jacobi operational matrix for solving fractional telegraph equation with Riesz-space derivative. (English) Zbl 1486.65187
Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations. (English) Zbl 1443.65257
MSC:
65M70
Approximating the solution of integro-differential problems via the spectral tau method with filtering. (English) Zbl 1445.65026
Reviewer: Alexander N. Tynda (Penza)
A spectral method for solving heat and moisture transfer through consolidated porous media. (English) Zbl 07865159
Linear stability analysis of the natural convection in inclined rotating parallel plates. (English) Zbl 1480.76049
Convection in a two-layer liquid system in a finite cylinder. (English. Russian original) Zbl 1445.76043
J. Appl. Mech. Tech. Phys. 60, No. 5, 842-849 (2019); translation from Prikl. Mekh. Tekh. Fiz. 60, No. 5, 72-80 (2019).
Application of Chebyshev tau method for bending analysis of elastically restrained edge functionally graded nano/micro-scaled sandwich beams, under non-uniform normal and shear loads. (English) Zbl 1452.65370
A computational method for solving variable-order fractional nonlinear diffusion-wave equation. (English) Zbl 1429.65240
A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation. (English) Zbl 1429.65239
Spectral Tau method for solving general fractional order differential equations with linear functional argument. (English) Zbl 07134433
Sixth-kind Chebyshev spectral approach for solving fractional differential equations. (English) Zbl 07048618
Multidomain Legendre tau method for the 1-D Maxwell equation with discontinuous solutions. (Chinese. English summary) Zbl 1438.65249
An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid. (English) Zbl 1409.65080
A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations. (English) Zbl 1404.65204
A time-space spectral tau method for the time fractional cable equation and its inverse problem. (English) Zbl 1393.65036
On the numerical treatment of the eigenparameter dependent boundary conditions. (English) Zbl 1381.65060
Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation. (English) Zbl 1471.65157
Legendre-tau spectral method for initial value problems of ordinary differential equations. (Chinese. English summary) Zbl 1413.65312
B-spline wavelet operational method for numerical solution of time-space fractional partial differential equations. (English) Zbl 1379.65081
Reviewer: Petr Sváček (Praha)
Numerical solution of linear time delay systems using Chebyshev-tau spectral method. (English) Zbl 1368.65105
Numerical study of an adaptive domain decomposition algorithm based on Chebyshev tau method for solving singular perturbed problems. (English) Zbl 1367.65112
Shifted fractional-order Jacobi orthogonal functions: application to a system of fractional differential equations. (English) Zbl 1446.34011
A third-order multistep time discretization for a Chebyshev tau spectral method. (English) Zbl 1349.76573
A fractional-order Jacobi tau method for a class of time-fractional PDEs with variable coefficients. (English) Zbl 1382.65338
A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation. (English) Zbl 1334.65166
Reviewer: Wilhelm Heinrichs (Essen)
Essential spectral equivalence via multiple step preconditioning and applications to ill conditioned Toeplitz matrices. (English) Zbl 1391.65071
An effective Chebyshev tau meshless domain decomposition method based on the integration-differentiation for solving fourth order equations. (English) Zbl 1443.65393
Tau method for the numerical solution of a fuzzy fractional kinetic model and its application to the oil palm frond as a promising source of xylose. (English) Zbl 1349.65207
A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations. (English) Zbl 1349.65504
An extended Legendre wavelet method for solving differential equations with non analytic solutions. (English) Zbl 1355.65103
The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation. (English) Zbl 1343.65126
Tau method for linear quadratic regulator problems. (English) Zbl 1337.49057
MSC:
49M30
Numerical solution of fractional partial differential equations with variable coefficients using generalized fractional-order Legendre functions. (English) Zbl 1336.65173
Convergence analysis of spectral tau method for fractional Riccati differential equations. (English) Zbl 1382.65223
New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions. (English) Zbl 1312.65166
Efficient implementation of a spectral-tau method for a class of two-point boundary-value and initial-boundary-value problems. (English) Zbl 1313.65280
A numerical study for the KdV and the good Boussinesq equations using Fourier Chebyshev tau meshless method. (English) Zbl 1304.35598
A new operational matrix of fractional integration for shifted Jacobi polynomials. (English) Zbl 1303.65055
Convergence analysis of the operational tau method for Abel-type Volterra integral equations. (English) Zbl 1302.65282
The numerical solution of Fokker-Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa’s approach and Galerkin method. (English) Zbl 1297.65120
Numerical solution of transient heat conduction equation with variable thermophysical properties by the tau method. (English) Zbl 1290.65094
Spectral methods for non-standard eigenvalue problems. Fluid and structural mechanics and beyond. (English) Zbl 1298.65166
SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-319-06229-7/pbk; 978-3-319-06230-3/ebook). xii, 120 p. (2014).
Reviewer: Boris V. Loginov (Ul’yanovsk)
Numerical solution of fractional differential equations with a tau method based on Legendre and Bernstein polynomials. (English) Zbl 1290.26008
The operational matrix of Caputo fractional derivatives of modified generalized Laguerre polynomials and its applications. (English) Zbl 1444.65023
Chebyshev tau meshless method based on the highest derivative for fourth order equations. (English) Zbl 1351.74164
An efficient Chebyshev-tau method for solving the space fractional diffusion equations. (English) Zbl 1334.65173
An extension of the tau numerical algorithm for the solution of linear and nonlinear Lane-Emden equations. (English) Zbl 1264.65109
The operational matrix of fractional integration for shifted Chebyshev polynomials. (English) Zbl 1255.65147
A numerical algorithm for the space and time fractional Fokker-Planck equation. (English) Zbl 1357.65203
Chebyshev tau meshless method based on the integration-differentiation for biharmonic-type equations on irregular domain. (English) Zbl 1352.65575
MSC:
65N35
A shifted Legendre spectral method for fractional-order multi-point boundary value problems. (English) Zbl 1280.65074
Numerical solution of fractional ordinary and partial differential equations by an operational technique. (English) Zbl 1254.65110
On shifted Jacobi spectral method for high-order multi-point boundary value problems. (English) Zbl 1251.65112
Spectral methods. (English) Zbl 1362.76038
Magoulès, Frédéric (ed.), Computational fluid dynamics. Boca Raton, FL: CRC Press (ISBN 978-1-4398-5661-1/hbk; 978-1-4398-5662-8/ebook). Chapman & Hall/CRC Numerical Analysis and Scientific Computing, 33-61 (2011).
Operational tau approximation for a general class of fractional integro-differential equations. (English) Zbl 1247.65174
Reviewer: Seenith Sivasundaram (Daytona Beach)
Error estimate of Legendre tau method for a two-dimensional Poisson equation. (Chinese. English summary) Zbl 1249.65265
Thermal instability in superposed porous and fluid layers in the presence of Coriolis forces. (English) Zbl 1431.76121
A comparison between solving two dimensional integral equations by the traditional collocation method and radial basis functions. (English) Zbl 1228.65242
Spectral shifted Jacobi tau and collocation methods for solving fifth-order boundary value problems. (English) Zbl 1221.65171
Optimal error estimates of the Legendre tau method for second-order differential equations. (English) Zbl 1203.65118
An efficient Chebyshev-tau spectral method for Ginzburg-Landau-Schrödinger equations. (English) Zbl 1205.65278
Computation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications. (English) Zbl 1191.65128
A numerical comparison of Chebyshev methods for solving fourth order semilinear initial boundary value problems. (English) Zbl 1188.65140
Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. (English) Zbl 1186.65136
Reviewer: Nicolae Pop (Baia Mare)
A spectral method for the wave equation of divergence-free vectors and symmetric tensors inside a sphere. (English) Zbl 1182.65159
The Chebyshev tau spectral method for the solution of the linear stability equations for Rayleigh-Bénard convection with melting. (English) Zbl 1231.65172
MSC:
65M70
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