Approximation of the solution of certain nonlinear ODEs with linear complexity

DOI10.1016/J.CAM.2009.10.019zbMath1186.65100OpenAlexW1978358527MaRDI QIDQ847187

Ezequiel Dratman

Publication date: 12 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.10.019

zbMATH Keywords

complexityalgorithmhomotopy continuationNeumann boundary conditionpositive solutionsemilinear problemFinite differencesTwo-point boundary problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Complexity and performance of numerical algorithms (65Y20) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

Complexity of certain nonlinear two-point BVPs with Neumann boundary conditions ⋮ Efficient approximation of the solution of certain nonlinear reaction-diffusion equations with small absorption ⋮ Newton's method and a mesh-independence principle for certain semilinear boundary-value problems

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