Nonlinear parabolic equations; Singularly perturbed equations; Sinc collocation method; Convergence analysis Abstract We propose a numerical method for solving singularly perturbed one-dimensional nonlinear parabolic problems. The equation converted to the nonlinear ordinary differential equation by discretization first in time then subsequently in each time level we use the Sinc collocation me...

By introducing a variable substitution we transform the two-point boundary value problem of a third-order ordinary differential equation into a system of two second-order ordinary differential equations. We discretize this order-reduced system of ordinary differential equations by both sinc-collocation and sinc-Galerkin methods, and average these two discretized linear systems to obtain the tar...

We study the Newton method and a fixed-point method for solving the system of nonlinear equations arising from the Sinc-Galerkin discretization of the Burgers equations. In each step of the Newton method or the fixedpoint method, a structured subsystem of linear equations is obtained and needs to be solved numerically. In this paper, preconditioning techniques are applied to solve such linear s...

The maintenance of nuclear compartmentalization by the nuclear envelope and nuclear pore complexes (NPCs) is essential for cell function; loss of compartmentalization is associated with cancers, laminopathies, and aging. We uncovered a pathway that surveils NPC assembly intermediates to promote the formation of functional NPCs. Surveillance is mediated by Heh2, a member of the LEM (Lap2-emerin-...

A ladder shaped filter of two real parameters a 1 , a 2 ∈ (−1, 1) is introduced in this note. The impulse response of the corresponding Linear Time Invariant (LTI) system is a generalized Sinc function of two parameters. Consequently a generalized Shannon-type sampling theorem is established for a class of non-bandlimited signals with special spectrum properties associated with a ladder shaped ...

OFDM is a form of multicarrier modulation technique with high spectral efficiency, robustness to channel fading, immunity to impulse interference, uniform average spectral density capacity of handling very strong echoes and non-linear distortion. Despite of its many advantages, one major disadvantage of OFDM is that the time domain OFDM signal which is a sum of several sinusoids leads to high p...

A newly developed distributed approximating functional ~DAF!-wavelet, the Dirichlet–Gabor DAF-wavelet ~DGDW!, is applied in a calculation of the state-to-state reaction probabilities for the three-dimensional ~3-D! (J50)H1H2 reaction, using the time-independent wave-packet reactant-product decoupling ~TIWRPD! method. The DGDWs are reconstructed from a rigorous mathematical sampling theorem, and...

In this paper , numerical solotion of Abel's integral equationby using the Taylor expanssion of the unknown functionvia collection method based on Sinc is considered...