Numerov's method for strongly nonlinear two-point boundary value problems.

DOI10.1016/S0898-1221(03)00036-1zbMath1035.65087MaRDI QIDQ1416438

Yuan-Ming Wang

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical resultsmonotone iterationhigh accuracyNumerov's methodstrongly nonlinear two-point boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items

The extrapolation of Numerov's scheme for nonlinear two-point boundary value problems ⋮ On Numerov's method for a class of strongly nonlinear two-point boundary value problems ⋮ Numerov's method for a class of nonlinear multipoint boundary value problems ⋮ The approximate solution of steady temperature distribution in a rod: Two-point boundary value problem with higher order nonlinearity ⋮ The steady temperature distributions with different types of nonlinearities ⋮ A fourth-order compact finite difference method for higher-order lidstone boundary value problems

Cites Work

• Monotone methods for a boundary value problem of second-order discrete equation
• Accelerated monotone iterative methods for a boundary value problem of second-order discrete equations
• Some recent developments of Numerov's method
• Numerov's method for non-linear two-point boundary value problems
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