Rational methods for solving first-order initial value problems

DOI10.1080/00207160.2020.1737862zbMath1480.65165OpenAlexW3009705655MaRDI QIDQ5031219

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Publication date: 18 February 2022

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

Full work available at URL: https://doi.org/10.1080/00207160.2020.1737862

zbMATH Keywords

singularly perturbed problemsystem of differential equationsstiff problemvan der Pol's equationrational methodproblem whose solutions possesses singularity

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for stiff equations (65L04)

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Cites Work

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• Solving first-order initial-value problems by using an explicit non-standard \(A\)-stable one-step method in variable step-size formulation
• Non-linear one-step methods for initial value problems
• Rational one-step methods for initial value problems
• Nonlinear multistep methods for initial value problems
• Nonlinear methods in solving ordinary differential equations
• Solving nonstiff higher order odes using variable order step size backward difference directly
• A non-standard explicit integration scheme for initial-value problems
• An embedded 3(2) pair of nonlinear methods for solving first order initial-value ordinary differential systems
• [https://portal.mardi4nfdi.de/wiki/Publication:5339699 On the Numerical Solution of y � = f(x, y) by a Class of Formulae Based on Rational Approximation]
• Coefficients for studying one-step rational schemes for IVPs in ODEs. I

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