The Exponential Cubic B-spline Algorithm for Burgers's Equation
Ozlem Ersoy, Idris Dag, Nihat Adar
TL;DR
This paper introduces an exponential cubic B-spline collocation method to solve Burgers's equation, demonstrating its effectiveness through four test problems.
Contribution
It presents a novel application of exponential cubic B-splines in collocation methods specifically for Burgers's equation.
Findings
The method accurately solves Burgers's equation in test cases.
Exponential cubic B-splines improve solution smoothness and accuracy.
The approach is effective for different types of boundary conditions.
Abstract
The exponential cubic B-spline functions are used to set up the collocation method for finding solutions of the Burgers's equation. The effect of the exponential cubic B-splines in the collocation method is sought by studying four text problems.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Nonlinear Waves and Solitons · Iterative Methods for Nonlinear Equations