Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation

DOI10.1007/s10543-008-0208-6zbMath1162.65372OpenAlexW2125291382MaRDI QIDQ1014900

Ewa B. Weinmüller, Georg Kitzhofer, Othmar Koch

Publication date: 29 April 2009

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-008-0208-6

zbMATH Keywords

numerical examplesnonlinear Schrödinger equationGinzburg-Landau equationcollocationessential singularitysemi-infinite intervalsolution branchesparameter-dependent boundary value problems

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (10)

Density profile equation with \(p\)-Laplacian: analysis and numerical simulation ⋮ Numerical computation of the optimal vector field: exemplified by a fishery model ⋮ An efficient sinc-collocation method via the DE transformation for eighth-order boundary value problems ⋮ On singular BVPs with nonsmooth data: convergence of the collocation schemes ⋮ Analysis and numerical solutions of positive and dead core solutions of singular Sturm-Liouville problems ⋮ On nonlinear singular BVPs with nonsmooth data. I: Analytical results ⋮ Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point ⋮ Collocation method for the modeling of membrane gas permeation systems ⋮ Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation ⋮ Numerical simulations of a rolling ball robot actuated by internal point masses

Uses Software

• Matlab

Cites Work

• Unnamed Item
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