The Trigonometric Cubic B-spline Algorithm for Burgers' Equation

2014/07/21 by İdris Dağ, Dag, I., Ersoy, O. +2
Engineering · Mathematics · #65M60 #65M70 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1407.5434

openalex publication_date 2014/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The cubic Trigonometric B-spline(CTB) functions are used to set up the collocation method for finding solutions of the Burgers' equation. The effect of the CTB in the collocation method is sought by studying two text problems. The Burgers' equation is fully-discretized using the Crank-Nicholson method for the time discretizion and CTB function for discretizion of spatial variable. Numerical examples are performed to show the convenience of the method for solutions of Burgers equation

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