A computational study of the boundary value methods and the block unification methods for \(y = f(x, y, y')\)

DOI10.1155/2016/8465103zbMath1470.65132OpenAlexW2319029802WikidataQ59121557 ScholiaQ59121557MaRDI QIDQ1669272

Toheeb Biala

Publication date: 30 August 2018

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/8465103

Mathematics Subject Classification ID

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

Related Items (6)

Numerical approximations of second order PDEs by boundary value methods and the method of lines ⋮ A family of boundary value methods for systems of second-order boundary value problems ⋮ Unnamed Item ⋮ Boundary value methods for second-order PDEs via the Lanczos-Chebyshev reduction technique ⋮ A block hybrid integrator for numerically solving fourth-order initial value problems ⋮ Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator

Cites Work

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• Cubic spline solution of two-point boundary value problems with significant first derivatives
• Stability properties of some boundary value methods
• An accurate solution of the Poisson equation by the Chebyshev-tau method
• High-order multistep methods for boundary value problems
• Tridiagonal Fourth Order Approximations to General Two-Point Nonlinear Boundary Value Problems with Mixed Boundary Conditions
• A class of continuous methods for general second order initial value problems in ordinary differential equations
• A boundary value approach to the numerical solution of initial value problems by multistep methos^†
• Existence and Uniqueness of Solutions of Ordinary Differential Equations

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