Implicit methods for the first derivative of the solution to heat equation

DOI10.1186/s13662-018-1887-1zbMath1448.65093OpenAlexW2901829504MaRDI QIDQ1716308

Lawrence A. Farinola, Suzan C. Buranay

Publication date: 4 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1887-1

zbMATH Keywords

heat equationfinite difference methodapproximation of derivativesuniform error

Mathematics Subject Classification ID

Heat equation (35K05) 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 solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (3)

Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions ⋮ Six Point Implicit Methods for the Approximation of the Derivatives of the Solution of First Type Boundary Value Problem for Heat Equation ⋮ Hexagonal grid approximation of the solution of the heat equation on special polygons

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• On the high order convergence of the difference solution of Laplace’s equation in a rectangular parallelepiped
• Accuracy and Reliability in Scientific Computing

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