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Some nonlinear equation?s numeric solitions with the help of Quintik B-Spline funtions

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2013
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Abstract (EN)

In this work, some non linear equation?s numeric solutions were analysed with the help of Quinctic B-spline functions by using collocation. This thesis consists of four section:In first section, Spline functions,B- Spline functions, Quintic B-Spline functions were introduced. And at the same time definations of Klein- Gordon, RLW , Burger?s equations that were done.In second section, with the help of Quinctic B-spline collocation numeric solutions were searched for the non linear Klein-Gordon equation, and by analysing datum in the form of chart, stability analyse was examined.In third section, non linear RLW equations were examined with the help of Quinctic B-spline collocation functions, RLW time degration and RLW position degration were told and obtained datum wihch was searched with numeric solutions, stability analyse were examined in the form of chart.At the last section, Quintic B-Spline collocation method was applied Burger equation and results which were gained, was showed with charts.Keywords: Burger Equation, Klein-Gordon Equation, RLW Equation, Quintic B-spline Functions

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Oğuz Çakı

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Oğuz Çakı (Master Thesis). Some nonlinear equation?s numeric solitions with the help of Quintik B-Spline funtions, 2013, Kütahya Dumlupınar University.

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