Study on monotonicity of boundary value problems of differential equations

DOI10.1016/J.AMC.2008.02.036zbMath1147.65061OpenAlexW2088147737MaRDI QIDQ941519

Hai-Ping Hu, Chi-Chang Wang

Publication date: 1 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.02.036

zbMATH Keywords

maximum principlenumerical examplesupper and lower solutionserror analysismonotonic equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (1)

Monotone iterative method for the second-order three-point boundary value problem with upper and lower solutions in the reversed order

Cites Work

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• Use residual correction method to calculate the upper and lower solutions of initial value problem
• Error bounds estimate of nonlinear boundary value problems using method of weighted residuals with genetic algorithms
• Applying the double side method to solution nonlinear pendulum problem.
• Numerical solution of singularly perturbed fifth order two point boundary value problem

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