Results 71 to 80 of about 20,047 (287)
A spectral collocation method for the Navier-Stokes equations [PDF]
Journal of Computational Physics, 1985 A Fourier-Chebyshev spectral method for the incompressible Navier-Stokes equations is described. It is applicable to a variety of problems including some with fluid properties which vary strongly both in the normal direction and in time. In this fully spectral algorithm, a preconditioned iterative technique is used for solving the implicit equations ...
Malik, M. R. +2 more
openaire +1 more source
The Canadian Journal of Chemical Engineering, EarlyView.Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley +1 more source
Numerical analysis of stochastic SIR model by Legendre spectral collocation method
Advances in Mechanical Engineering, 2019 This article represents Legendre spectral collocation method based on Legendre polynomials to solve a stochastic Susceptible, infected, Recovered (SIR) model.
Sami Ullah Khan, Ishtiaq Ali
doaj +1 more source
Effects of Double Stratification on MHD Flow and Heat Transfer of Nanofluid along a Permeable Vertical Plate [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2019 This numerical work deals with the problem of Magnetohydrodynamics (MHD) flow of a doubly stratified Buongiorno’s nanofluid along a permeable vertical flat plate.
P. Murali Krishna +2 more
doaj +1 more source
Conformal Maps to Multiply-Slit Domains and Applications [PDF]
, 2008 By exploiting conformal maps to vertically slit regions in the complex plane, a recently developed rational spectral method [Tee and Trefethen, 2006] is able to solve PDEs with interior layer-like behaviour using significantly fewer collocation points ...
Hale, N., Tee, T. W.
core
, 2010 This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF) collocation approach to solve the Volterra's model for population growth of a species within a closed system.
Al-Khaled +42 more
core +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
MathematicsEmerging tensor network techniques for solutions of partial differential equations (PDEs), known for their ability to break the curse of dimensionality, deliver new mathematical methods for ultra-fast numerical solutions of high-dimensional problems ...
Dibyendu Adak +4 more
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Abstract and Applied Analysis, 2014 We present a numerical method for a class of boundary value problems on the unit interval which feature a type of power-law nonlinearity. In order to numerically solve this type of nonlinear boundary value problems, we construct a kind of spectral ...
A. H. Bhrawy +2 more
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Numerical Evolution of axisymmetric vacuum spacetimes: a code based on the Galerkin method
, 2011 We present the first numerical code based on the Galerkin and Collocation methods to integrate the field equations of the Bondi problem. The Galerkin method like all spectral methods provide high accuracy with moderate computational effort.
Boyd J +14 more
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