Approximation of multivariate functions and evaluation of particular solutions using Chebyshev polynomial and trigonometric basis functions

DOI10.1002/nme.1679zbMath1130.65115OpenAlexW2143018180MaRDI QIDQ5435318

Sergiy Y. Reutskiy, Ching-Shyang Chen

Publication date: 14 January 2008

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1679

zbMATH Keywords

numerical results particular solution Helmholtz equation meshless methods Chebyshev interpolation method of fundamental solutions homogeneous solution boundary knot method boundary-type methods c-expansion

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (13)

Localized boundary knot method for 3D inhomogeneous acoustic problems with complicated geometry ⋮ A new dual reciprocity hybrid boundary node method based on Shepard and Taylor interpolation method and Chebyshev polynomials ⋮ Polyharmonic multiquadric particular solutions for Reissner/Mindlin plate ⋮ Automatic particular solutions of arbitrary high-order splines associated with polyharmonic and poly-Helmholtz equations ⋮ The method of particular solutions for solving axisymmetric polyharmonic and poly-Helmholtz equations ⋮ Differential quadrature Trefftz method for Poisson-type problems on irregular domains ⋮ The method of approximate fundamental solutions (MAFS) for Stefan problems ⋮ Multiquadric and Chebyshev approximation to three-dimensional thermoelasticity with arbitrary body forces ⋮ A meshless method for one-dimensional Stefan problems ⋮ A perturbation DRBEM model for weakly nonlinear wave run-ups around islands ⋮ The method of approximate fundamental solutions (MAFS) for elliptic equations of general type with variable coefficients ⋮ The particular solutions for thin plates resting on Pasternak foundations under arbitrary loadings ⋮ Multiple reciprocity singular boundary method for 3D inhomogeneous problems

Uses Software

Cites Work

This page was built for publication: Approximation of multivariate functions and evaluation of particular solutions using Chebyshev polynomial and trigonometric basis functions