Results 1 to 10 of about 72 (68)

A novel conservative numerical approximation scheme for the Rosenau-Kawahara equation

Demonstratio Mathematica, 2023
In this article, a numerical solution for the Rosenau-Kawahara equation is considered. A new conservative numerical approximation scheme is presented to solve the initial boundary value problem of the Rosenau-Kawahara equation, which preserves the ...
Pan Xintian, Zhang Luming
doaj   +1 more source

A numerical study of anomalous electro-diffusion cells in cable sense with a non-singular kernel

Demonstratio Mathematica, 2022
The time-fractional cable model is solved using an extended cubic B-spline (ECBS) collocation strategy. The B-spline function was used for space partitioning, while the Caputo-Fabrizio (CF) was used for temporal discretization.
Iqbal Azhar, Akram Tayyaba
doaj   +1 more source

Finite‐difference method for parameterized singularly perturbed problem

Journal of Applied Mathematics, Volume 2004, Issue 3, Page 191-199, 2004., 2004
We study uniform finite‐difference method for solving first‐order singularly perturbed boundary value problem (BVP) depending on a parameter. Uniform error estimates in the discrete maximum norm are obtained for the numerical solution. Numerical results support the theoretical analysis.
G. M. Amiraliyev, Mustafa Kudu, Hakki Duru   +2 more
wiley   +1 more source

On real interpolation, finite differences, and estimates depending on a parameter for discretizations of elliptic boundary value problems

Abstract and Applied Analysis, Volume 2003, Issue 18, Page 1005-1035, 2003., 2003
We give some results concerning the real‐interpolation method and finite differences. Next, we apply them to estimate the resolvents of finite‐difference discretizations of Dirichlet boundary value problems for elliptic equations in space dimensions one and two in analogs of spaces of continuous and Hölder continuous functions.
Davide Guidetti, Sergei Piskarev
wiley   +1 more source

A class of new implicit compact sixth-order approximations for Poisson equations and the estimates of normal derivatives in multi-dimensions

Results in Applied Mathematics
In this piece of work, a family of compact implicit numerical algorithms for (∂u/∂n) of order of accuracy six are proposed on a 9- and 19-point compact cell for two- and three- dimensional Poisson equations ∆2u=f which are quite often useful in ...
R.K. Mohanty, Niranjan
doaj   +1 more source

A novel hybrid numerical method for delay differential equations with delay-dependent nonlocal condition

Arab Journal of Basic and Applied Sciences
This paper develops a novel hybrid numerical method for the [Formula: see text]-uniform approximation of singularly perturbed second-order delay differential equations subject to delay-dependent nonlocal boundary condition.
Zelal Temel
doaj   +1 more source

High-order finite-difference ghost-point methods for elliptic problems in domains with curved boundaries

Open Mathematics
In this article, a fourth-order finite-difference ghost-point method for the Poisson equation on regular Cartesian mesh is presented. The method can be considered the high-order extension of the second-order ghost method introduced earlier by the authors.
Coco Armando, Russo Giovanni
doaj   +1 more source

Numerical solution of a PDE arising from prediction with expert advice

European Journal of Applied Mathematics
This work investigates the online machine learning problem of prediction with expert advice in an adversarial setting through numerical analysis of, and experiments with, a related partial differential equation.
Jeff Calder, Nadejda Drenska, Drisana Mosaphir   +2 more
doaj   +1 more source

Numerical Solution of Two-Dimensional Time Fractional Mobile/Immobile Equation Using Explicit Group Methods. [PDF]

Int J Appl Comput Math, 2022
Salama FM, Ali U, Ali A.
europepmc   +1 more source

Cross-points in the Dirichlet-Neumann method I: well-posedness and convergence issues. [PDF]

Numer Algorithms, 2023
Chaudet-Dumas B, Gander MJ.
europepmc   +1 more source