Title: Numerical evidence of Kneser solutions and convergence of collocation applied to singular ODEs
Other Titles: Numerischer Nachweis von Kneser Lösungen und Konvergenzmethoden für Kollokation angewendet auf singuläre ODEs
Language: English
Authors: Hubner, Michael 
Qualification level: Diploma
Keywords: numerics; ODE; PDE; collocation; singular; BVP; numerical analysis
Advisor: Weinmüller, Ewa 
Issue Date: 2015
Number of Pages: 119
Qualification level: Diploma
In the first chapter of the work, we give numerical evidence of Kneser solutions for second order ordinary differential equations with a singularity of the first kind on a semi infinite intervall. The main goal is to illustrate the existence theory of Kneser solutions and their asymptotic behavior In the second part of the work, we test the convergence properties of the collocation schemes applied to solve a system of linear ordinary differential equations with a singularity of the first kind.
URI: https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-87224
Library ID: AC12656438
Organisation: E101 - Institut für Analysis und Scientific Computing 
Publication Type: Thesis
Appears in Collections:Thesis

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