Application of finite difference method of lines on the heat equation

DOI10.1002/num.22218zbMath1390.65072OpenAlexW2765257523WikidataQ115397980 ScholiaQ115397980MaRDI QIDQ4563296

Mehdi Dehghan, Saeed Kazem

Publication date: 31 May 2018

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22218

zbMATH Keywords

heat equationmethod of linestridiagonal matrixexponential matriximplicit and explicit methods

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical computation of matrix exponential and similar matrix functions (65F60)

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Generalized Lucas tau method for the numerical treatment of the one and two-dimensional partial differential heat equation ⋮ On Bernoulli series approximation for the matrix cosine ⋮ A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems

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