Results 21 to 30 of about 1,769 (302)

AN EXPLICIT SPECTRAL COLLOCATION METHOD FOR THE DRUG RELEASE CORONARY STENTS

Mathematical Modelling and Analysis, 2022
This research aims to solve a comprehensive one-dimensional model of drug release from cardiovascular stents in which the drug binding is saturable and reversible. We used the Lagrange collocation method for space dimension and the modified Euler method for time discretization. The existence and uniqueness of the solution, are provided. The consistency,
Fakhri, Somayeh, Momeni-Masuleh, Sayed Hodjatollah   +1 more
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Efficient Spectral Collocation Method for Tempered Fractional Differential Equations

, 2023
Transient anomalous diffusion may be modeled by a tempered fractional diffusion equation. In this paper, we present a spectral collocation method with tempered fractional Jacobi functions (TFJFs) as basis functions and obtain an efficient algorithm to ...
Tinggang Zhao
core   +1 more source

Space-Time Spectral Collocation Algorithm for the Variable-Order Galilei Invariant Advection Diffusion Equations with a Nonlinear Source Term

Mathematical Modelling and Analysis, 2017
This paper presents a space-time spectral collocation technique for solving the variable-order Galilei invariant advection diffusion equation with a nonlinear source term (VO-NGIADE).
Mohamed A. Abd-Elkawy, Rubayyi T. Alqahtani   +1 more
doaj   +1 more source

The regularization of spectral methods for hyperbolic Volterra integrodifferential equations with fractional power elliptic operator

Nonlinear Engineering, 2023
In this study, a numerical approach is presented to solve the linear and nonlinear hyperbolic Volterra integrodifferential equations (HVIDEs). The regularization of a Legendre-collocation spectral method is applied for solving HVIDE of the second kind ...
Mirzaei G. F., Rostamy Davood
doaj   +1 more source

The spectral collocation method for stochasticdifferential equations

Discrete and Continuous Dynamical Systems - B, 2013
In this paper, we use the Chebyshev spectral collocation method to solve a certain type of stochastic differential equations (SDEs). We also use this method to estimate parameters of stochastic differential equations from discrete observations by maximum likelihood technique and Kessler technique.
Can Huang, Zhimin Zhang
openaire   +1 more source

An efficient meshless radial point collocation method for nonlinear p-Laplacian equation

Boundary Value Problems, 2020
This paper considered the spectral meshless radial point interpolation (SMRPI) method to unravel for the nonlinear p-Laplacian equation with mixed Dirichlet and Neumann boundary conditions.
Samaneh Soradi-Zeid, Mehdi Mesrizadeh, Thabet Abdeljawad   +2 more
doaj   +1 more source

A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems [PDF]

, 2007
This paper reports a new spectral collocation method for numerically solving two-dimensional biharmonic boundary-value problems. The construction of the Chebyshev approximations is based on integration rather than conventional differentiation.
Tanner, Roger I., Mai-Duy, N., Mai-Duy, Nam, Tanner, R.I.   +3 more
core   +1 more source

Spanning the Gap From Bulk to Bin: A Novel Spectral Microphysics Method

Journal of Advances in Modeling Earth Systems, 2022
Microphysics methods for climate models and numerical weather prediction typically track one, two, or three moments of a droplet size distribution for various categories of liquid, ice, and aerosol.
E. K. deJong, T. Bischoff, A. Nadim, T. Schneider   +3 more
doaj   +1 more source

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., Zang, T. A., Hussaini, M. Y.   +2 more
openaire   +1 more source

Fractional-Order Orthogonal Jacobi Function-Based Operational Approach for Multi-Term Diffusion-Wave Equations of Fractional Order

Fractal and Fractional
Solving fractional differential equations using spectral collocation methods based on classical orthogonal polynomials often leads to a reduced convergence rate due to the limited regularity of the solutions.
Amal Alshabanat, Mohamed A. Saker, Hanaa Moussa, Samer S. Ezz-Eldien   +3 more
doaj   +1 more source