Results 61 to 70 of about 345,546 (151)

Boundary knot method: A meshless, exponential convergence, integration-free, and boundary-only RBF technique

, 2000
Based on the radial basis function (RBF), non-singular general solution and dual reciprocity principle (DRM), this paper presents an inheretnly meshless, exponential convergence, integration-free, boundary-only collocation techniques for numerical ...
Chen, W.
core   +1 more source

ν-SPLINE CURVES FOR BOUNDARY GEOMETRY MODELING IN TWO-DIMENSIONAL POTENTIAL BOUNDARY VALUE PROBLEMS WITH SINGULAR CORNER POINTS

TASK Quarterly, 2002
The paper presents a new modeling method of boundary geometry in boundary valueproblems by ν-spline curves. To define a smooth boundary geometry both B´ezier and B-spline curves are applied. At the segment join points B´ezier curves ensure continuity C1,
EUGENIUSZ ZIENIUK
doaj  

Iterative Analysis of the Unique Positive Solution for a Class of Singular Nonlinear Boundary Value Problems Involving Two Types of Fractional Derivatives with p-Laplacian Operator

Complexity, 2019
This article is concerned with a class of singular nonlinear fractional boundary value problems with p-Laplacian operator, which contains Riemann–Liouville fractional derivative and Caputo fractional derivative. The boundary conditions are made up of two
Fang Wang, Lishan Liu, Yonghong Wu, Yumei Zou   +3 more
doaj   +1 more source

The numerical solution of high dimensional variable-order time fractional diffusion equation via the singular boundary method. [PDF]

J Adv Res, 2021
Hosseini VR, Yousefi F, Zou WN.
europepmc   +1 more source

Quantum mechanics of an electron in a homogeneous magnetic field and a singular magnetic flux tube

, 2000
The eigenvalue problem of the Hamiltonian of an electron confined to a plane and subjected to a perpendicular time-independent magnetic field which is the sum of a homogeneous field and an additional field contributed by a singular flux tube, i.e.
Abramowitz, Aharonov, Aharonov, Alford, Atiyah, Atiyah, de Sousa Gerbert, Eguchi, Forgacs, Gel'fand, Gendenshtein, Hans-Peter Thienel, Jackiw, Jain, Jancovici, Landau, Laughlin, Lewis, Moroz, Newton, Nicolai, Page, Prange, Schwinger, Stone, Szegö, von Neumann, Witten, Witten   +28 more
core   +1 more source

Numerical solution of singularly perturbed singular third order boundary value problems with nonclassical sinc method

Results in Applied Mathematics
In this paper, we employ a nonclassical sinc-collocation method to compute numerical solutions for singularly perturbed singular third-order boundary value problems prevalent in various scientific and engineering domains. Utilizing the sinc approximation
A. Alipanah, K. Mohammadi, R.M. Haji
doaj   +1 more source

Free surface groundwater flow solution using boundary collocation methods

MATEC Web of Conferences, 2018
In this paper, two meshless numerical algorithms are developed for the solution of two-dimensional steady-state diffusion equation that describes the stationary groundwater flow.
Mužík Juraj, Bulko Roman
doaj   +1 more source

A shooting method for singular nonlinear second order Volterra integro-differential equations

International Journal of Mathematics and Mathematical Sciences, 1997
The method of parallel shooting will be employed to solve nonlinear second order singular Volterra integro-differential equations with two point boundary conditions.
R. E. Shaw, L. E. Garey
doaj   +1 more source

The boundary integral method for magnetic billiards

, 1999
We introduce a boundary integral method for two-dimensional quantum billiards subjected to a constant magnetic field. It allows to calculate spectra and wave functions, in particular at strong fields and semiclassical values of the magnetic length.
Abramowitz M, Argaman N, Balian R, Balian R, Balian R, Berglund N, Berry M, Blaschke J, Bohigas O, Buchholz H, Eckmann J-P, Feynman R P, Guiggiani M, Gutkin B, Gutkin B, Klama S, Klaus Hornberger, Kleinman R E, Koshlyakov N S, Macris N, Magnus W, Robnik M, Sieber M, Spehner D, Tasaki S, Uzy Smilansky, Yan Z   +26 more
core   +2 more sources

Solutions of Direct and Inverse Even-Order Sturm-Liouville Problems Using Magnus Expansion

Mathematics, 2019
In this paper Lie group method in combination with Magnus expansion is utilized to develop a universal method applicable to solving a Sturm−Liouville problem (SLP) of any order with arbitrary boundary conditions.
Upeksha Perera, Christine Böckmann
doaj   +1 more source