An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems

DOI10.1080/00207160.2021.1999429OpenAlexW3210328190MaRDI QIDQ5093074

Higinio Ramos, M. A. Rufai

Publication date: 26 July 2022

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

Full work available at URL: https://doi.org/10.1080/00207160.2021.1999429

zbMATH Keywords

stability analysishybrid block methodvariable step-size formulationlinear and non-linear IVPsordinary and time-dependent partial differential equations

Mathematics Subject Classification ID

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

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A variable step-size implementation of the hybrid Nyström method for integrating Hamiltonian and stiff differential systems ⋮ An adaptive optimized Nyström method for second‐order IVPs ⋮ A variable stepsize hybrid block optimized technique for integrating a class of singularly perturbed parabolic problems ⋮ A new one-step method with three intermediate points in a variable step-size mode for stiff differential systems ⋮ Solving third-order Lane-Emden-Fowler equations using a variable stepsize formulation of a pair of block methods

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