Impact of thermal radiation on stretching sheet: a numerical approach using new similarity transformations

The main objective of this article is to apply novel similarity transformations, which we have developed ourselves. The similarity method holds great potential for solving sets of partial differential equations. However, previous studies on stretching sheets only considered nondimensional similarity variables with respect to a single independent variable, leading to certain inaccuracies. To address this, we have derived a novel set of similarity transformations that encompass all the independent variables used in the analyzed equations. This approach aims to enhance the accuracy of results significantly. The results of this investigation were contrasted with those from past works. It became evident that the previous studies, which relied on a similarity variable based on a single independent variable, contained several inaccuracies. Therefore, we devised a new set of similarity transformations to overcome this limitation. For numerical results, we employed the shooting technique along with Runge–Kutta–Fehlberg’s 4th–5th method.