Bernstein Collocation Method for Solving Linear Differential Equations

Ayşegül AKYÜZ DAŞÇIOĞLU, Neşe İŞLER ACAR
1.769 390

Abstract


In this study, a new collocation method based on Bernstein polynomials defined on the interval [a, b] is introducedfor approximate solutions of initial and boundary value problems involving higher order linear differential equations with variable coefficients. Error analysis of the method is demonstrated. Some numerical solutions are given to illustrate the accuracy, efficiency and implementation of the method, and the results of the proposed method are also compared with the other methods in several examples.
Key Words: Bernstein polynomial approximation, Linear differential equations, Collocation method

Keywords


Bernstein polynomial approximation, Linear differential equations, Collocation method

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References


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