Found 669 Documents (Results 1–100)
Time dependent magnetic field effects on the MHD flow and heat transfer in a rectangular duct. (English) Zbl 07885394
An adaptive orthogonal basis method for computing multiple solutions of differential equations with polynomial nonlinearities. (English) Zbl 07878710
Enhancing the accuracy and efficiency of two uniformly convergent numerical solvers for singularly perturbed parabolic convection-diffusion-reaction problems with two small parameters. (English) Zbl 1541.65118
Algebraic growth of 2D optimal perturbation of a plane Poiseuille flow in a Brinkman porous medium. (English) Zbl 1540.76051
Numerical modelling of advection diffusion equation using Chebyshev spectral collocation method and Laplace transform. (English) Zbl 1535.65237
Numerical computation of helical waves in a finite circular cylinder using Chebyshev spectral method. (English) Zbl 07800005
Fictitious finite integration method for solving high order partial differential equations. (English) Zbl 1539.65137
Magnetohydrodynamic mixed convection flow in a vertical channel filled with porous media. (English) Zbl 1543.76040
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, 333-345 (2023).
A hybrid spectral approach based on 2D cardinal and classical second kind Chebyshev polynomials for time fractional 3D Sobolev equation. (English) Zbl 1536.35356
Eigenvalue problem with fractional differential operator: Chebyshev cardinal spectral method. (English) Zbl 07814805
Shifted second-kind Chebyshev spectral collocation-based technique for time-fractional KdV-Burgers’ equation. (English) Zbl 1538.65411
Evaluating the impacts of thermal conductivity on Casson fluid flow near a slippery sheet: numerical simulation using sixth-kind Chebyshev polynomials. (English) Zbl 1529.76068
MSC:
76M27
The role of radiation and bioconvection as an external agent to control the temperature and motion of fluid over the radially spinning circular surface: a theoretical analysis via Chebyshev spectral approach. (English) Zbl 1538.80001
Flow of a limited stress fluid between plates rotating about different axes. (English) Zbl 1530.76004
Accurate and efficient numerical methods for the nonlinear Schrödinger equation with Dirac delta potential. (English) Zbl 1529.35485
Implementation of an accurate method for the analysis and simulation of electrical R-L circuits. (English) Zbl 07782487
A Legendre-Galerkin Chebyshev collocation method for the Burgers equation with a random perturbation on boundary condition. (English) Zbl 07781283
A spectrally accurate time-space pseudospectral method for viscous Burgers’ equation. (English) Zbl 1535.65234
Direct and inverse problems for a 2D heat equation with a Dirichlet-Neumann-Wentzell boundary condition. (English) Zbl 1526.35318
Instability of a viscoelastic film with insoluble surfactants on an oscillating plane. (English) Zbl 1542.76027
A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley-Torvik differential equation. (English) Zbl 07748399
Legendre-tau Chebyshev collocation spectral element method for Maxwell’s equations with material interfaces of two dimensional transverse magnetic mode. (English) Zbl 1538.78017
Chebyshev spectral method for solving a class of local and nonlocal elliptic boundary value problems. (English) Zbl 07715007
Effect of internal heat source on stability analysis of a highly permeable vertical porous channel filled with nanofluid. (English) Zbl 1518.76020
Localized Chebyshev and MLS collocation methods for solving 2D steady state nonlocal diffusion and peridynamic equations. (English) Zbl 1540.65511
On the vibration characteristics of graphene platelet reinforced composite super-elliptical plates via Chebyshev-Ritz method. (English) Zbl 1521.74425
Dynamics of the coherent structure for incompressible fluid flow in turbulent boundary layers. (English) Zbl 1541.76051
Asymptotic coefficients and errors for Chebyshev polynomial approximations with weak endpoint singularities: effects of different bases. (English) Zbl 1505.65019
Legendre-Petrov-Galerkin Chebyshev spectral collocation method for second-order nonlinear differential equations. (English) Zbl 1512.65164
Numerical solution of fuzzy fractional diffusion equation by Chebyshev spectral method. (English) Zbl 1535.65225
An application of Chebyshev wavelet method for the nonlinear time fractional Schrödinger equation. (English) Zbl 1527.65102
A nonperiodic Chebyshev spectral method avoiding penalization techniques for a class of nonlinear peridynamic models. (English) Zbl 1527.65135
Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations. (English) Zbl 07678011
Error analysis and Kronecker implementation of Chebyshev spectral collocation method for solving linear PDEs. (English) Zbl 1524.65898
Evaluating the MHD non-Newtonian fluid motion past a stretching sheet under the influence of non-uniform thickness with Dufour and Soret effects implementing Chebyshev spectral method. (English) Zbl 1513.65483
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
Numerical solutions of inverse time fractional coupled Burgers’ equations by the Chebyshev wavelet method. (English) Zbl 07597387
A multi-domain Chebyshev collocation method for nonlinear fractional delay differential equations. (English) Zbl 1501.65141
Pricing European two-asset option using the spectral method with second-kind Chebyshev polynomials. (English) Zbl 1498.91500
Numerical simulation of the variable order fractional integro-differential equation via Chebyshev polynomials. (English. Russian original) Zbl 1495.65238
Math. Notes 111, No. 5, 688-700 (2022); translation from Mat. Zametki 111, No. 5, 676-691 (2022).
Dynamics of fractional chaotic systems with Chebyshev spectral approximation method. (English) Zbl 1489.65115
A fast Petrov-Galerkin spectral method for the multidimensional Boltzmann equation using mapped Chebyshev functions. (English) Zbl 1490.35247
Mixed convection flow over a vertical cone saturated porous medium with double dispersion effect. (English) Zbl 1510.76152
An amplitude equation modelling the double-crest swirling in orbital-shaken cylindrical containers. (English) Zbl 1510.76024
An efficient numerical technique for estimating eigenvalues of second-order non-self-adjoint Sturm-Liouville problems. (English) Zbl 1540.65252
Numerical investigation of the time-fractional Black-Scholes equation with barrier choice of regulating European option. (English) Zbl 1499.91174
A high-order accurate multidomain Legendre-Chebyshev spectral method for 2D Maxwell’s equations in inhomogeneous media with discontinuous waves. (English) Zbl 1483.78006
Localized singular boundary method for the simulation of large-scale problems of elliptic operators in complex geometries. (English) Zbl 1524.65934
A transformed \(L 1\) method for solving the multi-term time-fractional diffusion problem. (English) Zbl 1540.65435
On the analytical and meshless numerical approaches to mixture stress gradient functionally graded nano-bar in tension. (English) Zbl 1521.74002
Numerical solution of the nonlinear Korteweg-de Vries equation by using Chebyshev wavelet collocation method. (English) Zbl 07850577
Stability of magnetohydrodynamic heat transfer free convection of vertical surface with Ohmic heating by radiation and viscous dissipation. (English) Zbl 1512.76033
Legendre-Chebyshev spectral collocation method for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional. (English) Zbl 1498.65166
MSC:
65M70
The paradox of heat conduction, influence of variable viscosity, and thermal conductivity on magnetized dissipative Casson fluid with stratification models. (English) Zbl 1487.80004
Chebyshev spectral collocation method for magneto micro-polar convective flow through vertical porous pipe using local thermal non-equilibrium approach. (English) Zbl 1489.76063
Fast and accurate calculations of fourth-order non-self-adjoint Sturm-Liouville eigenvalues for problems in physics and engineering. (English) Zbl 1481.65112
Computational analysis of double diffusive bioconvection of a nanofluid past an inclined wavy surface. (English) Zbl 1490.76199
Mixed convection fluid flow over a vertical cone saturated porous media with double dispersion and injection/suction effects. (English) Zbl 1491.76066
A numerical method based on a bilinear pseudo-spectral method to solve the convection-diffusion optimal control problems. (English) Zbl 1480.65291
Linear stability analysis of two fluid columns of different densities and viscosities in a gravity field. (English) Zbl 1496.76060
A computational method for solving the system of Hamilton-Jacobi-Bellman PDEs in nonzero-sum fixed-final-time differential games. (English) Zbl 1479.91046
Robust synchronization of chaotic fractional-order systems with shifted Chebyshev spectral collocation method. (English) Zbl 1515.65258
Temporal instability of surfactant-laden compound jets with surface viscoelasticity. (English) Zbl 1501.76027
Global stability analysis of axisymmetric boundary layer on a slender circular cone with the streamwise adverse pressure gradient. (English) Zbl 1490.76100
Numerical studies of the fractional Korteweg-de Vries, Korteweg-de Vries-Burgers’ and Burgers’ equations. (English) Zbl 1490.65223
A novel Chebyshev-collocation spectral method for solving the transport equation. (English) Zbl 1476.65021
Space-time fractional Klein-Gordon equation: symmetry analysis, conservation laws and numerical approximations. (English) Zbl 1540.35255
A spectral collocation matrix method for solving linear Fredholm integro-differential-difference equations. (English) Zbl 1476.65346
Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains. (English) Zbl 1508.65166
A pseudo-spectral method for time distributed order two-sided space fractional differential equations. (English) Zbl 1496.65183
A CSCM approximation of steady MHD flow and heat transfer between parallel plates with hydrodynamic slip and convective boundary conditions. (English) Zbl 1479.76073
Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 969-980 (2021).
Localized boundary knot method for 3D inhomogeneous acoustic problems with complicated geometry. (English) Zbl 1481.65247
Error estimate of a Legendre-Galerkin Chebyshev collocation method for a class of parabolic inverse problem. (English) Zbl 1537.65121
Chebyshev pseudospectral method in the reconstruction of orthotropic conductivity. (English) Zbl 1473.65231
Effect of surfactant on the linear stability of a shear-imposed fluid flowing down a compliant substrate. (English) Zbl 1495.76038
Accurate spectral algorithm for two-dimensional variable-order fractional percolation equations. (English) Zbl 1512.65223
The Chebyshev collocation method for a class of time fractional convection-diffusion equation with variable coefficients. (English) Zbl 1496.65185
Numerical investigation of variable-order fractional Benjamin-Bona-Mahony-Burgers equation using a pseudo-spectral method. (English) Zbl 1486.65197
Numerical solutions of time and space fractional coupled Burgers equations using time-space Chebyshev pseudospectral method. (English) Zbl 1486.65204
A new approach to solving multiorder time-fractional advection-diffusion-reaction equations using BEM and Chebyshev matrix. (English) Zbl 1473.65332
New alternative numerical approaches for solving the glioma model and their efficiencies. (English) Zbl 1473.65237
The impact of the Chebyshev collocation method on solutions of the time-fractional Black-Scholes. (English) Zbl 1473.91032
Analytical and meshless numerical approaches to unified gradient elasticity theory. (English) Zbl 1521.74420
Application of the collocation method for solving the problem of diffraction of an electromagnetic wave by a rectangular metal plate. (English) Zbl 1469.78007
Efficient and accurate Chebyshev dual-Petrov-Galerkin methods for odd-order differential equations. (English) Zbl 1474.65460
Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations. (English) Zbl 1476.65235
Numerical treatment of the space fractional advection-dispersion model arising in groundwater hydrology. (English) Zbl 1461.65248
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