@article{article_1006385, title={A Numerical Solution of the Generalized Burgers-Huxley Equation}, journal={Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi}, volume={22}, pages={75–84}, year={2022}, DOI={10.35414/akufemubid.1006385}, author={Çelikten, Gonca and Cankurt, Adem}, keywords={Crank Nicolson logarithmic finite difference method, Generalized Burgers-Huxley equation, von Neumann Stability analysis.}, abstract={In this study numerical solutions of the generalized Burgers-Huxley equation are obtained utilizing a new approach: The Crank Nicolson logarithmic finite difference method (CN-LFDM). The effectiveness of the suggested method is demonstrated by a numerical example for various parameter cases. Presented tables demonstrate that the obtained results are in excellent agreement with the exact solutions and better than numerical results acquired by other methods in the literature. The method was analyzed with the von-Neumann stability analysis method and it was shown that the method was unconditionally stable.}, number={1}, publisher={Afyon Kocatepe University}