Quasilinear iterative scheme for a fourth-order differential equation with retardation and anticipation

DOI10.1016/j.amc.2010.09.011zbMath1206.65189OpenAlexW2018620119WikidataQ115361654 ScholiaQ115361654MaRDI QIDQ613292

Peiguang Wang, Yu-Feng Sun

Publication date: 20 December 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.09.011

zbMATH Keywords

error estimatesquasilinearizationboundary value problemapproximate solutioniterative schemesdifferential equations with retardation and anticipationfourth order differential-difference equation

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Boundary value problems for functional-differential equations (34K10) Numerical methods for functional-differential equations (65L03)

Related Items (3)

Two-point boundary value problems associated to functional differential equations of even order solved by iterated splines ⋮ On the maximal order of convergence of Green's function method for solving two-point boundary value problems with deviating argument ⋮ Quasilinear iterative method for the boundary value problem of nonlinear fractional differential equation

Cites Work

• Iterative methods for a fourth order boundary value problem
• Monotone iterative technique for functional differential equations with retardation and anticipation
• Quasilinearization for functional differential equations with retardation and anticipation
• Boundary value problem of a third-order mixed type differential-difference equation
• Iterative methods for the boundary value problem of a fourth-order differential-difference equation
• Functional differential systems with retardation and anticipation
• Fixed point theorems of operators with ppf dependence in banach spaces
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