Application of smart collocation method for solving strongly nonlinear boundary value ordinary differential equations

DOI10.1016/j.apm.2014.12.007zbMath1443.65099OpenAlexW2078318892MaRDI QIDQ2009952

Aref Afsharfard, Jalil Rezaeepazhand

Publication date: 3 December 2019

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.12.007

zbMATH Keywords

collocation methodboundary value problemnonlinear ordinary differential equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Uses Software

• Matlab
• bvp4c

Cites Work

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• Wavelets collocation methods for the numerical solution of elliptic BV problems
• A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
• Radial basis function collocation method for the numerical solution of the two-dimensional transient nonlinear coupled Burgers equations
• A regularized collocation boundary element method for linear poroelasticity
• Vibro-impact dynamics. Modeling, mapping and applications
• Numerical Approximation Methods for Elliptic Boundary Value Problems
• Weighted radial basis collocation method for boundary value problems
• On the Numerical Solution of Singular Boundary Value Problems of Second Order by a Difference Method
• A collocation finite element method for potential problems in irregular domains
• The convergence of shooting methods for singular boundary value problems

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