Implementation and comparison of brown algorithm with analytical partial derivatives for boundary value problems

DOI10.1080/00207169908804844zbMath0976.65051OpenAlexW2037139978MaRDI QIDQ4702132

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Publication date: 19 December 2001

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169908804844

zbMATH Keywords

algorithmsnonlinear systemscollocationsystems of nonlinear equationstwo-point boundary value problemsquasi-linearization methodBrown algorithmMarquardt's methodPowell's hybrid methodFletcher's modification

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Generalization of the Methods of Brent and Brown for Solving Nonlinear Simultaneous Equations
• Improved generalized quasilinearization (GQL) method
• A New Method of Solving Nonlinear Simultaneous Equations
• A Quadratically Convergent Newton-Like Method Based Upon Gaussian Elimination
• Some Efficient Algorithms for Solving Systems of Nonlinear Equations
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