Collocation-continuation technique for solving nonlinear ordinary boundary value problems

DOI10.1016/S0898-1221(99)00121-2zbMath0940.65078OpenAlexW2063485606MaRDI QIDQ1963038

S. M. Al-Sharo', Muhammed I. Syam

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00121-2

zbMATH Keywords

algorithmnumerical examplescontinuation methodLegendre collocation methodsecond-order nonlinear ordinary differential equationstwo-point Dirichlet boundary value problems

Mathematics Subject Classification ID

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)

Related Items (6)

An accurate method for solving a singular second-order fractional Emden-Fowler problem ⋮ Tau-path following method for solving the Riccati equation with fractional order ⋮ Solving fractional diffusion equation via the collocation method based on fractional Legendre functions ⋮ Fractional-order Legendre operational matrix of fractional integration for solving the Riccati equation with fractional order ⋮ Weighted residual method for obtaining positive solutions of two-point nonlinear boundary value problems ⋮ An accurate numerical method for solving the generalized time-fractional diffusion equation

Cites Work

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