The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions

DOI10.1080/00036811.2010.549480zbMath1242.35011OpenAlexW2060866647MaRDI QIDQ2883297

Thomas Trogdon, Bernard Deconinck

Publication date: 11 May 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.549480

zbMATH Keywords

constant coefficientsperiodic problemlinear partial differential equationsnew transform method

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Periodic solutions to PDEs (35B10) Integral representations of solutions to PDEs (35C15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial-boundary value problems for linear higher-order PDEs (35G16)

Related Items (9)

A numerical implementation of the unified Fokas transform for evolution problems on a finite interval ⋮ Generalised Dirichlet to Neumann maps for linear dispersive equations on half-line ⋮ The linear Lugiato-Lefever equation with forcing and nonzero periodic or nonperiodic boundary conditions ⋮ The Unified Transform and the Water Wave Problem ⋮ A Hybrid Analytical-Numerical Technique for Elliptic PDEs ⋮ Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results ⋮ Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks ⋮ Interface Problems for Dispersive Equations ⋮ Heat conduction on the ring: interface problems with periodic boundary conditions

Cites Work

• A Unified Approach to Boundary Value Problems
• Asymptotics of linear initial boundary value problems with periodic boundary data on the half-line and finite intervals
• A new transform method for evolution partial differential equations
• Well-posed boundary value problems for linear evolution equations on a finite interval
• The spectral representation of two-point boundary-value problems for third-order linear evolution partial differential equations
• A transform method for linear evolution PDEs on a finite interval

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