A diagonal splitting method for solving semidiscretized parabolic partial differential equations

DOI10.1002/num.22427OpenAlexW2971105581WikidataQ127323300 ScholiaQ127323300MaRDI QIDQ6071648

Mehdi Tatari, Rasool Hosseini

Publication date: 28 November 2023

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

Full work available at URL: https://doi.org/10.1002/num.22427

zbMATH Keywords

maximum principleheat equationsplitting methodssystem of ordinary differential equationsadvection-diffusion equation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

• New versions of iterative splitting methods for the momentum equation
• A second-order operator splitting Fourier spectral method for fractional-in-space reaction-diffusion equations
• Efficient high-order structure-preserving methods for the generalized Rosenau-type equation with power law nonlinearity
• A splitting approach for the magnetic Schrödinger equation
• A Concise Introduction to Geometric Numerical Integration
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• On the Product of Semi-Groups of Operators
• Numerical Solution of Partial Differential Equations
• Understanding <scp>Saul'yev</scp>‐type unconditionally stable schemes from exponential splitting
• Some application of splitting-up methods to the solution of mathematical physics problems
• On the Construction and Comparison of Difference Schemes

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