Generalized quasilinearization method and higher order of convergence for second-order boundary value problems

DOI10.1155/BVP/2006/25715zbMath1135.34005WikidataQ59212793 ScholiaQ59212793MaRDI QIDQ2491472

Tanya G. Melton, Aghalaya S. Vatsala

Publication date: 29 May 2006

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54001

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (9)

Improved generalized quasilinearization method and rapid convergence for reaction diffusion equations ⋮ Rapid convergence for telegraph systems with periodic boundary conditions ⋮ Two-grid quasilinearization approach to ODEs with applications to model problems in physics and mechanics ⋮ Higher even-order convergence and coupled solutions for second-order boundary value problems on time scales ⋮ Quasilinearization numerical scheme for fully nonlinear parabolic problems with applications in models of mathematical finance ⋮ A numerical approach to nonlinear two-point boundary value problems for ODEs ⋮ Replacing the finite difference methods for nonlinear two-point boundary value problems by successive application of the linear shooting method ⋮ Generalized quasilinearization method and higher order of convergence for second-order boundary value problems ⋮ Constructive proof for existence of nonlinear two-point boundary value problems

Cites Work

• Rapid convergence of the iterative technique for first order initial value problems
• Extension of the method of quasilinearization and rapid convergence
• Generalized monotone iterative method for initial value problems.
• An introduction to nonlinear boundary value problems
• Generalized quasilinearization method and higher order of convergence for second-order boundary value problems
• Methods of nonlinear analysis. Vol. 1
• Quasilinearization method and its verification on exactly solvable models in quantum mechanics
• Quasilinearization and rate of convergence for higher-order nonlinear periodic boundary-value problems
• Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
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