The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces

DOI10.1016/j.cam.2020.113119zbMath1456.65059OpenAlexW3045964353MaRDI QIDQ2199776

Graeme Fairweather, Santosh Kumar Bhal, P. Danumjaya

Publication date: 14 September 2020

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.2020.113119

zbMATH Keywords

interfacessuperconvergenceCrank-Nicolson methodorthogonal spline collocationone-dimensional parabolic problemsoptimal global error estimates

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical quadrature and cubature formulas (65D32)

Related Items

Super convergence analysis of fully discrete Hermite splines to simulate wave behaviour of Kuramoto-Sivashinsky equation ⋮ An ADI Crank-Nicolson orthogonal spline collocation method for 2D parabolic problems with an interface

Uses Software

• ABDPACK

Cites Work

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