Numerical method of sixth order convergence for solving a fourth order nonlinear boundary value problem

DOI10.1016/J.AML.2023.108813MaRDI QIDQ6052206

Thi Thu Ha Nguyen, Quang A. Dang

Publication date: 21 September 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

iterative methodfourth order nonlinear differential equationsixth order convergence

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Boundary value problems for ordinary differential equations (34Bxx)

Cites Work

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• A monotone iterative technique for solving the bending elastic beam equations
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• A novel efficient method for nonlinear boundary value problems
• General explicit difference formulas for numerical differentiation
• On the numerical integration of a boundary value problem involving a fourth order linear differential equation
• Finite difference methods for two-point boundary value problems involving high order differential equations
• A new high accuracy method in exponential form based on off-step discretization for non-linear two point boundary value problems

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