Solution of quasilinear two-point boundary-value problems by the method of pseudolinear equations

DOI10.1016/0362-546X(84)90042-7zbMath0539.65062MaRDI QIDQ3326764

John E. Lavery

Publication date: 1984

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

global convergenceNewton's methodnumerical experimentsiterative methodconjugate problemlocal convergencea posteriori error boundmethod of pseudolinear equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (1)

The methods of pseudolinear equations and successive approximations for quasilinear two-point boundary-value problems

Cites Work

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• Solution of quasilinear hyperbolic initial-boundary-value problems by the method of pseudolinear equations
• Solution of inhomogeneous quasilinear Dirichlet and Neumann problems by reduction to the Poisson equation and a posteriori error bounds.

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