Gulshan, GhazalaBudak, HuseyinHussain, RashidaSadiq, Asad2024-08-232024-08-2320232731-4235https://doi.org/10.1186/s13662-023-03765-5https://hdl.handle.net/20.500.12684/14052The aim of the current work is to generalize the well-known bisection method using quantum calculus approach. The results for different values of quantum parameter q are analyzed, and the rate of convergence for each q ? (0,1) is also determined. Some physical problems in engineering are resolved using the QBM technique for various values of the quantum parameter q up to three iterations to examine the validity of the method. Furthermore, it is proven that QBM is always convergent and that for each interval there exists q ? (0,1) for which the first approximation of root coincides with the precise solution of the problem.en10.1186/s13662-023-03765-5info:eu-repo/semantics/openAccessNonlinear equationsBisection methodArticle202312-s2.0-85151308703WOS:000959617000001N/AQ1