A novel mathematical modeling of multiple scales for a class of two dimensional singular perturbed problems

DOI10.1016/j.apm.2011.03.030zbMath1225.65112OpenAlexW1972226260MaRDI QIDQ646229

Suqin Chen, Liangliang Du, Xiong-Hua Wu

Publication date: 11 November 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.03.030

zbMATH Keywords

transition layersmultiple scalesrational spectral collocation methodnovel mathematical modelingsingular perturbed

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) Singular perturbations in context of PDEs (35B25)

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Cites Work

• On the Dirichlet problem for quasilinear elliptic equation with a small parameter
• Nonstandard asymptotic analysis
• Perturbation methods in applied mathematics
• Nonlinear singular perturbation problems: Proofs of correctness of a formal approximation based on a contraction principle in a Banach space
• A novel method for a class of nonlinear singular perturbation problems
• A novel method for a class of parameterized singularly perturbed boundary value problems
• Differential quadrature and longterm integration
• Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
• A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points
• Some New Aspects of Rational Interpolation
• Differential quadrature domain decomposition method for problems on a triangular domain
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