Efficient Implementation of a Spectral-Tau Method for a Class of Two-Point Boundary-Value and Initial-Boundary-Value Problems

DOI10.4208/JMS.V47N2.14.04zbMath1313.65280OpenAlexW2906916266WikidataQ128640007 ScholiaQ128640007MaRDI QIDQ5498353

Fei Liu

Publication date: 11 February 2015

Published in: Journal of Mathematical Study (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jms.v47n2.14.04

zbMATH Keywords

numerical resultsboundary value problemsCahn-Hilliard equationvariable coefficientsThomas-Fermi equationspectral-tau method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for ordinary differential equations (34B15) PDEs in connection with fluid mechanics (35Q35) Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) PDEs in connection with quantum mechanics (35Q40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

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