Study of general Taylor-like explicit methods in solving stiff ordinary differential equations

DOI10.1080/00207160701331400zbMath1147.65318OpenAlexW2089516068MaRDI QIDQ5431623

Jian-Lin Xia, Xin-Yuan Wu

Publication date: 12 December 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701331400

zbMATH Keywords

convergenceA-stabilitystiff ordinary differential equationsTaylor-like explicit methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• The vector form of a sixth-order \(A\)-stable explicit one-step method for stiff problems
• An explicit two-step method exact for the scalar test equation \(y'= \lambda y\)
• A sixth-order \(A\)-stable explicit one-step method for stiff systems
• Explicit methods in solving stiff ordinary differential equations

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