On approximate Picard's iterates for multipoint boundary value problems

DOI10.1016/0362-546X(84)90038-5zbMath0567.65054OpenAlexW2031673467MaRDI QIDQ3683461

S. L. Loi, Ravi P. Agarwal

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90038-5

zbMATH Keywords

numerical exampleerror estimatesapproximate Picard's iterates

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (13)

Iterative methods for solving right focal point boundary value problems ⋮ Method of chasing for multipoint boundary value problems ⋮ Quasilinearization and approximate quasilinearization for multipoint boundary value problems ⋮ On the right focal point boundary value problems for integro-differential equations ⋮ Boundary value problems for second order differential equations of Sobolev type ⋮ Positive solutions of a singular third-order \(m\)-point boundary value problem ⋮ Note on the explicit solutions for a boundary value problem of a second-order nonlinear equation ⋮ On a second order nonlinear boundary value problem ⋮ More on the explicit solutions for a second-order nonlinear boundary value problem ⋮ Discrete polynomial interpolation, Green's functions, maximum principles, error bounds and boundary value problems ⋮ Existence-uniqueness and iterative methods for third-order boundary value problems ⋮ Iterative methods for a fourth order boundary value problem ⋮ On the solution of Holt's problem

Cites Work

• Two remarks on boundary value problems for ordinary differential equations
• Boundary value problems occurring in plate deflection theory
• Existence and uniqueness of solutions of boundary value problems for Lipschitz equations
• Boundary value problems for higher order integro- differential equations
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