Solving nonstiff higher order ODEs directly by the direct integration method

DOI10.1016/0096-3003(89)90051-9zbMath0689.65047OpenAlexW2147662851WikidataQ128121297 ScholiaQ128121297MaRDI QIDQ582022

Mohamed Bin Suleiman

Publication date: 1989

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90051-9

zbMATH Keywords

comparison of methodspredictordirect methodtest problemscorrectortwo body problemAdams codehigher order nonstiff ordinary differential equationsNewton's equation of motionreduction to first ordervariable order variable stepsize code

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Two-body problems (70F05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (12)

Parallel R-Point Explicit Block Method for Solving Second Order Ordinary Differential Equations Directly ⋮ Embedded diagonally implicit Runge-Kutta-Nystrom 4(3) pair for solving special second-order IVPs ⋮ A sixth‐order improved <scp>Runge–Kutta</scp> direct method for special third‐order ordinary differential equations ⋮ Solution of higher-order ODEs using backward difference method ⋮ Some Necessary Conditions for Convergence of the GBDF Methods ⋮ Fourth-order improved Runge-Kutta method for directly solving special third-order ordinary differential equations ⋮ Solving nonstiff higher order odes using variable order step size backward difference directly ⋮ Solving nonstiff higher-order ordinary differential equations using 2-point block method directly ⋮ A unified approach for the development of \(k\)-step block Falkner-type methods for solving general second-order initial-value problems in ODEs ⋮ A 4-point block method for solving higher order ordinary differential equations directly ⋮ A direct variable step block multistep method for solving general third-order ODEs ⋮ Computing eigenvalues of periodic sturm-liouville problems using shooting technique and direct integration method

Cites Work

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