Hybrid Chebyshev polynomial scheme for solving elliptic partial differential equations

DOI10.1016/j.cam.2019.06.040zbMath1431.65231OpenAlexW2953752700MaRDI QIDQ2279868

B. Khatri Ghimire, A. R. Lamichhane, Ching-Shyang Chen, XinXiang Li

Publication date: 16 December 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://commons.erau.edu/cgi/viewcontent.cgi?article=1065&context=searcde

zbMATH Keywords

Chebyshev polynomialsradial basis functionsPoisson equationcollocation Trefftz methodCauchy-Navier equationthe method of fundamental solutions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Classical linear elasticity (74B05) Best approximation, Chebyshev systems (41A50) PDEs in connection with mechanics of deformable solids (35Q74) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items

POLYNOMIAL PARTICULAR SOLUTIONS FOR FINDING CRITICAL DOMAINS FOR QUENCHING PROBLEMS, Nonlinear second order systems of Fredholm integro-differential equations, Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations

Uses Software

• Matlab

Cites Work

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