Domain decomposition spectral method for mixed inhomogeneous boundary value problems of high order differential equations on unbounded domains

DOI10.1007/s10915-012-9581-zzbMath1273.65183OpenAlexW2047690854MaRDI QIDQ357824

Ben-yu Guo, Chao Zhang

Publication date: 13 August 2013

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-012-9581-z

zbMATH Keywords

collocation methodnumerical resultsdomain decomposition spectral methodsfourth-order problemhigh-order problems with mixed inhomogeneous boundary conditionsLaguerre quasi-orthogonal approximationLaguerre-Gauss-Radau type interpolation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Higher-order elliptic equations (35J30)

Related Items (10)

Spectral method for multi-dimensional problems of high order on unbounded domains using generalized Laguerre functions ⋮ A new multi-domain spectral method for Korteweg-de Vries equation on the whole line ⋮ Mixed Spectral Method for Heat Transfer Using Generalised Hermite Functions and Legendre Polynomials ⋮ Composite generalized Laguerre spectral method for nonlinear Fokker-Planck equations on the whole line ⋮ Efficient high order method for differential equations in unbounded domains using generalized coordinate transformation ⋮ Some progress in spectral methods ⋮ Laguerre functions and their applications to tempered fractional differential equations on infinite intervals ⋮ Efficient Mapping of High Order Basis Sets for Unbounded Domains ⋮ Multi-domain decomposition pseudospectral method for nonlinear Fokker-Planck equations ⋮ Generalized Laguerre spectral method for Fisher's equation on a semi-infinite interval

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