Efficient Chebyshev Spectral Method for Solving Linear Elliptic PDEs Using Quasi-Inverse Technique

DOI10.4208/nmtma.2011.42s.5zbMath1249.65264OpenAlexW4248374449WikidataQ128350682 ScholiaQ128350682MaRDI QIDQ2886067

Fei Liu, Xinghua Wang, Xingde Ye

Publication date: 1 June 2012

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.2011.42s.5

zbMATH Keywords

numerical resultsHelmholtz equationRobin boundary conditionsChebyshev spectral methodfourth order equationsecond order equationlinear elliptic PDEsgeneral biharmonic equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)