Two-grid quasilinearization approach to ODEs with applications to model problems in physics and mechanics

DOI10.1016/j.cpc.2009.11.015zbMath1205.65217OpenAlexW2049806792MaRDI QIDQ615107

Lubin G. Vulkov, Miglena N. Koleva

Publication date: 5 January 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2009.11.015

zbMATH Keywords

convergenceNewton's methodnumerical experimentsboundary value problemsquasilinearizationreaction-diffusion equationFisher-Kolmogorov equationnonlinear ordinary differential equationstwo-grid methodBlasius equationgeneralized Emden-Fowler equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (8)

Solving a laminar boundary layer equation with the rational Gegenbauer functions ⋮ Efficient Application of the Two-Grid Technique for Solving Time-Fractional Non-linear Parabolic Problem ⋮ On general families of multipoint iterations by inverse interpolation and their applications ⋮ Iterative methods for ternary diffusions ⋮ Weighted Time-Semidiscretization Quasilinearization Method for Solving Rihards’ Equation ⋮ A family of fourth-order Steffensen-type methods with the applications on solving nonlinear ODEs ⋮ Efficient algorithms for fourth and sixth-order two-point non-linear boundary value problems using non-polynomial spline approximations on a geometric mesh ⋮ Numerical Solution of a Nonlinear Evolution Equation for the Risk Preference

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