Novel numerical techniques based on Fokas transforms, for the solution of initial boundary value problems

DOI10.1016/J.CAM.2008.07.031zbMath1167.65446OpenAlexW1981646475MaRDI QIDQ1012497

Theodore S. Papatheodorou, Anastasia N. Kandili

Publication date: 21 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.07.031

zbMATH Keywords

heat equationnumerical methodspartial differential equationinitial boundary value problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (4)

Fokas transform method for a brain tumor invasion model with heterogeneous diffusion in 1+1 dimensions ⋮ A numerical implementation of the unified Fokas transform for evolution problems on a finite interval ⋮ The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method ⋮ A spectral relaxation approach for unsteady boundary-layer flow and heat transfer of a nanofluid over a permeable stretching/shrinking sheet

Cites Work

• Unnamed Item
• Talbot quadratures and rational approximations
• A unified transform method for solving linear and certain nonlinear PDEs
• A hybrid analytical–numerical method for solving evolution partial differential equations. I. The half-line

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