TY  - JOUR
T1  - A Comparison of Three Methods Based on the Bernstein Operational Matrix for Solving Differential and Integral Equations
AU  - Örkcü, Mediha
AU  - Taalaybekova, Guliza
PY  - 2025
DA  - October
Y2  - 2025
DO  - 10.35378/gujs.1619802
JF  - Gazi University Journal of Science
PB  - Gazi University
WT  - DergiPark
SN  - 2147-1762
SP  - 1
EP  - 1
LA  - en
AB  - This article investigates combining traditional methods for solving differential equations with Aboodh integral transformation and the Bernstein method. This approach offers a new perspective in solving various differential and integral equations. The solution approach obtained from the combination of Bernstein polynomials and integral transformations stands out in terms of theoretical and practical implications. This method can be applied to various examples of differential equations, and its practical applicability can be evaluated through studies conducted using programming languages. The error between the exact solution and the proposed method’s approximate solution has been calculated. We compare the numerical results of the Aboodh-Bernstein, Laplace-Bernstein, and Sumudu-Bernstein methods.
KW  - Differential equation
KW  - Aboodh transform
KW  - Bernstein polynomials
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UR  - https://doi.org/10.35378/gujs.1619802
L1  - https://dergipark.org.tr/en/download/article-file/4520648
ER  -