A new approach to solve a set of nonlinear split boundary value problems

DOI10.1016/J.CNSNS.2011.06.004zbMath1244.65108OpenAlexW2020979841MaRDI QIDQ430317

Omar Belhamiti

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.06.004

zbMATH Keywords

algorithmstabilityconvergencefinite element methodnumerical examplesdecoupling and quasi-linearization techniquenonlinear split boundary value problemsorthogonal collocation method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

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Cites Work

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• Solution of two point boundary value problems using orthogonal collocation on finite elements
• Application of orthogonal collocation on finite elements for solving nonlinear boundary value problems
• Orthogonal collocation on finite elements for elliptic equations
• The generalized quasi-linearization method for reaction diffusion equations on an unbounded domain
• Numerical solution to the flow of a second grade fluid over a stretching sheet using the method of quasi-linearization.

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