Found 585 Documents (Results 1–100)
Block-by-block technique for a class of nonlinear systems of fractional integro-differential equations. (English) Zbl 07922838
The remarkable role of hydrogen in conductors with copper and silver nanoparticles by mixed convection using viscosity Reynold’s model. (English) Zbl 07918858
Lacarbonara, Walter (ed.), Advances in nonlinear dynamics. Proceedings of the third international nonlinear dynamics conference, NODYCON 2023, Rome, Italy, June 18–22, 2023. Volume I. Cham: Springer. NODYCON Conf. Proc. Ser., 49-60 (2024).
MSC:
76-XX
Monolithic convex limiting for Legendre-Gauss-Lobatto discontinuous Galerkin spectral-element methods. (English) Zbl 07902377
\(G^0\) Pythagorean-hodograph curves closest to prescribed planar Bézier curves. (English) Zbl 07892717
A hybrid-based numerical method for a class of systems of mixed Volterra-Fredholm integral equations. (English) Zbl 1543.65207
Hermite-Birkhoff spline quasi-interpolation with application as dense output for Gauss-Legendre and Gauss-Lobatto Runge-Kutta schemes. (English) Zbl 1540.65048
A note on the rate of convergence of integration schemes for closed surfaces. (English) Zbl 07841099
An application of Lobatto-Chebyshev method to a nonhomogeneous plane problem with two cracks. (English) Zbl 1536.74271
Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction. (English) Zbl 07797652
Flow stability and sequence of bifurcations in a cubic cavity driven by a constant shear stress. (English) Zbl 07789943
Symmetric and asymmetric Gauss and Gauss-Lobatto quadrature rules for triangles and their applications to high-order finite element analyses. (English) Zbl 1522.65036
A new block by block scheme via quadrature rule of Lobatto-Gaussian for nonlinear Volterra integral equations. (English) Zbl 07878619
Transversely isotropic homogeneous medium with absorbing boundary conditions: elastic wave propagation using spectral element method. (English) Zbl 07827999
Sharma, Rajesh Kumar (ed.) et al., Frontiers in industrial and applied mathematics. Selected papers based on the presentations at the 4th international conference, FIAM-2021, Punjab, India, December 21–22, 2021. Singapore: Springer. Springer Proc. Math. Stat. 410, 443-462 (2023).
MSC:
76-XX
On the numerical properties of high-order spectral (Euler-Bernoulli) beam elements. (English) Zbl 1537.74328
Numerical method for solving two-dimensional of the space and space-time fractional coupled reaction-diffusion equations. (English) Zbl 1538.65415
Bending and wave propagation analysis of axially functionally graded beams based on a reformulated strain gradient elasticity theory. (English) Zbl 1529.74042
A block-by-block approach for nonlinear fractional integro-differential equations. (English) Zbl 07761286
Nonlinear in-plane thermomechanical stability of shallow sandwich micro-arches including strain gradient tensors. (English) Zbl 1543.74046
A numerical study on fractional optimal control problems described by Caputo-Fabrizio fractional integro-differential equation. (English) Zbl 1531.49032
MSC:
49M41
Approximate solution of nonlinear optimal control problems with scale delay function via a composite pseudospectral approach. (English) Zbl 1521.49019
MSC:
49K10
Numerical solution of reaction-diffusion equations with convergence analysis. (English) Zbl 1519.65044
Quasi-3D nonlinear primary resonance of randomly oriented CNT-reinforced micro/nano-beams incorporating nonlocal and couple stress tensors. (English) Zbl 1522.74049
A novel collocation beam element based on absolute nodal coordinate formulation. (English) Zbl 1521.74257
An efficient Jacobi spectral method for variable-order time fractional 2D Wu-Zhang system. (English) Zbl 07692037
Shifted Legendre spectral collocation technique for solving stochastic Volterra-Fredholm integral equations. (English) Zbl 07677974
Superconvergence of Legendre-Gauss-Lobatto interpolation and spectral collocation. (English) Zbl 1511.65134
A new approach to the formation of systems of linear algebraic equations for solving ordinary differential equations by the collocation method. (Russian. English summary) Zbl 07666959
High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows. (English) Zbl 1516.76030
Spectral solutions for a class of nonlinear wave equations with Riesz fractional based on Legendre collocation technique. (English) Zbl 1505.65271
Pseudospectral analysis and approximation of two-dimensional fractional cable equation. (English) Zbl 1531.35362
Accuracy of spectral element method for wave, parabolic, and Schrödinger equations. (English) Zbl 1525.65094
Reviewer: Murli Gupta (Washington, D.C.)
An improved radial basis functions method for the high-order Volterra-Fredholm integro-differential equations. (English) Zbl 1510.65326
An efficient \(hp\) spectral collocation method for nonsmooth optimal control problems. (English) Zbl 1524.49027
Reviewer: Hector O. Fattorini (Los Angeles)
Lobatto-reproducing kernel method for solving a linear system of second order boundary value problems. (English) Zbl 1515.33022
Thermoelectric conversion efficiency of a two-dimensional thermoelectric plate of finite-size with a center crack. (English) Zbl 1505.74137
A quadrature rule of Lobatto-Gaussian for numerical integration of analytic functions. (English) Zbl 1497.65059
Entropy generation in magnetohydrodynamics flow of hybrid Casson nanofluid in porous channel: Lie group analysis. (English) Zbl 1497.76130
On well-posed integral nonlocal gradient piezoelectric models for static bending of functionally graded piezoelectric nanobeam. (English) Zbl 1503.74033
Reviewer: Ahmed Ghaleb (Giza)
Optimal error analysis of the spectral element method for the 2D homogeneous wave equation. (English) Zbl 1524.65503
The Gibbs-Wilbraham phenomenon in the approximation of \(| x |\) by using Lagrange interpolation on the Chebyshev-Lobatto nodal systems. (English) Zbl 1524.41005
A Legendre spectral element method for the family of regularized long wave equations. (English) Zbl 1540.65404
A multiple interval Chebyshev-Gauss-Lobatto collocation method for multi-order fractional differential equations. (English) Zbl 1485.65090
Time-domain spectral finite element based on third-order theory for efficient modelling of guided wave propagation in beams and panels. (English) Zbl 1487.74118
Shifted Legendre fractional pseudospectral differentiation matrices for solving fractional differential problems. (English) Zbl 07490674
Fractional-order shifted Legendre collocation method for solving non-linear variable-order fractional Fredholm integro-differential equations. (English) Zbl 1499.65734
Generalizations of the constrained mock-Chebyshev least squares in two variables: tensor product vs total degree polynomial interpolation. (English) Zbl 1487.65016
An efficient approach based on Legendre-Gauss-Lobatto quadrature and discrete shifted Hahn polynomials for solving Caputo-Fabrizio fractional Volterra partial integro-differential equations. (English) Zbl 1481.65266
Error analysis and approximation of Jacobi pseudospectral method for the integer and fractional order integro-differential equation. (English) Zbl 1482.65241
Jacobi spectral method for variable-order fractional Benney-Lin equation arising in falling film problems. (English) Zbl 1524.65654
A geometrically convergent pseudo-spectral method for multi-dimensional two-sided space fractional partial differential equations. (English) Zbl 07907245
Legendre-Chebyshev spectral collocation method for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional. (English) Zbl 1498.65166
MSC:
65M70
A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations. (English) Zbl 07510067
Rational Pál type \((0,1;0)\)-interpolation and quadrature formula with Chebyshev-Markov fractions. (English) Zbl 1507.41001
Solving the optimal control of Volterra-Fredholm integro-differential equation via Müntz polynomials. (English) Zbl 1499.49024
A computational method for solving the system of Hamilton-Jacobi-Bellman PDEs in nonzero-sum fixed-final-time differential games. (English) Zbl 1479.91046
Optical solitons for Chen-Lee-Liu equation with two spectral collocation approaches. (English) Zbl 1478.78053
MEMS with fringing field: curvature-dependent electrostatic field and numerical techniques for recovering the membrane profile. (English) Zbl 1476.30145
A pseudo-spectral method for time distributed order two-sided space fractional differential equations. (English) Zbl 1496.65183
Accurate spectral algorithm for two-dimensional variable-order fractional percolation equations. (English) Zbl 1512.65223
Computation of error bounds via generalized Gauss-Radau and Gauss-Lobatto rules. (English) Zbl 1470.65075
Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order. (English) Zbl 1483.65108
An investigation of radial basis functions for fractional derivatives and their applications. (English) Zbl 1496.76111
New collocation scheme for solving fractional partial differential equations. (English) Zbl 1488.65506
Lie symmetry classification and numerical analysis of KdV equation with power-law nonlinearity. (English) Zbl 1524.76328
Advantages of static condensation in implicit compressible Navier-Stokes DGSEM solvers. (English) Zbl 1521.76553
Stability analysis and highly accurate numerical approximation of Fisher’s equations using pseudospectral method. (English) Zbl 1510.65258
Accurate spectral algorithms for solving variable-order fractional percolation equations. (English) Zbl 1451.76089
An MHD Stokes eigenvalue problem and its approximation by a spectral collocation method. (English) Zbl 1452.76277
An \(hp\)-version Chebyshev collocation method for nonlinear fractional differential equations. (English) Zbl 1452.65138
Generalized Lagrange Jacobi-Gauss-Lobatto vs Jacobi-Gauss-Lobatto collocation approximations for solving \((2 + 1)\)-dimensional sine-Gordon equations. (English) Zbl 1452.65277
Reviewer: Hendrik Ranocha (Braunschweig)
An \(h\)-\(p\) version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays. (English) Zbl 1462.65097
On the monotonicity and discrete maximum principle of the finite difference implementation of \(C^0\)-\(Q^2\) finite element method. (English) Zbl 1451.65200
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
The exact formula of the optimal penalty parameter value of the spectral penalty method for differential equations. (English) Zbl 1511.65071
MSC:
65L60
Discontinuous Galerkin via interpolation: the direct flux reconstruction method. (English) Zbl 1445.76062
Highly accurate technique for solving distributed-order time-fractional-sub-diffusion equations of fourth order. (English) Zbl 1449.65270
A direct method based on the Clenshaw-Curtis formula for fractional optimal control problems. (English) Zbl 1439.49054
Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations. (English) Zbl 1436.65149
Superconvergence of high order finite difference schemes based on variational formulation for elliptic equations. (English) Zbl 1434.65268
Jacobi collocation methods for solving generalized space-fractional Burgers’ equations. (English) Zbl 1449.65280
Strain gradient differential quadrature Kirchhoff plate finite element with the \(C^2\) partial compatibility. (English) Zbl 1472.74204
Superconvergence of \(C^0-Q^k\) finite element method for elliptic equations with approximated coefficients. (English) Zbl 1434.65267
Application of strong SaS formulation and enhanced DQ method to 3D stress analysis of rectangular plates. (English) Zbl 1472.74210
To the realization of the Gauss-Hermite approximate method for the Cauchy problem. (English) Zbl 1513.65229
Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation. (English) Zbl 1513.49014
The error bounds of Gauss-Lobatto quadratures for weights of Bernstein-Szegő type. (English) Zbl 1499.65091
Gegenbauer collocation algorithm for solving two-dimensional time-space fractional diffusion equations. (English) Zbl 1463.35012
Reviewer: Angela Slavova (Sofia)
Superconvergence of the direct discontinuous Galerkin method for a time-fractional initial-boundary value problem. (English) Zbl 1431.65216
Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code. (English) Zbl 1470.74067
Fractional pseudospectral integration/differentiation matrix and fractional differential equations. (English) Zbl 1428.74225
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