Solving directly special fourth-order ordinary differential equations using Runge-Kutta type method

DOI10.1016/j.cam.2016.04.002zbMath1382.65206OpenAlexW2343421634MaRDI QIDQ289303

Norazak Senu, Fudziah Bt. Ismail, Kasim Abbas Hussain

Publication date: 30 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.04.002

zbMATH Keywords

B-seriesfourth-order ordinary differential equationsrelevant-colored treesRKFD method

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (7)

Boundary value technique based on a fifth derivative method of order 10 for fourth order initial and boundary value problems ⋮ Diagonally implicit Runge-Kutta type method for directly solving special fourth-order ordinary differential equations with ill-posed problem of a beam on elastic foundation ⋮ Monic Chebyshev pseudospectral differentiation matrices for higher-order IVPs and BVPs: applications to certain types of real-life problems ⋮ Solving higher order nonlinear ordinary differential equations with least squares support vector machines ⋮ A class of hybrid methods for direct integration of fourth-order ordinary differential equations ⋮ Explicit integrator of Runge-Kutta type for direct solution of \(u^{(4)} = f(x, u, u', u)\) ⋮ A model for solving first, second and third order IVPs directly

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