University of Tabriz Computational Methods for Differential Equations 2345-3982 14 2 2026 04 01 Analyzing the MHD boundary layer flow of Rivlin-Ericksen fluid over a stretching sheet by applying the Taylor wavelet approach 590 605 19191 10.22034/cmde.2024.61873.2695 EN Prithvi Suresh Department of Studies and Research in Mathematics, Tumkur University, Tumkur-572103, Karnataka, India. Vidya Shree Ramareddy Department of Studies and Research in Mathematics, Tumkur University, Tumkur-572103, Karnataka, India. Patil Mallikarjun Basavaraj Department of Studies and Research in Mathematics, Tumkur University, Tumkur-572103, Karnataka, India. Journal Article 2024 05 29 In the current paper, we newly established the Taylor wavelet operational matrix method to study Revlin-Ericksen fluid flowing over the stretching sheet in the context of a magnetic field. The Taylor wavelet operational matrix method is a newly devised method for transforming the nonlinear differential equations to nonlinear algebraic equations. This computation is flexible and facile due to the generation of integral matrices. From these integral matrices, unresolved Taylor wavelet coefficients are determined with the help of solvers. Thus, the solution to the given Revlin-Ericksen fluid flow is achieved. This analysis examines the MHD Rivlin-Ericksen fluid flowing in the steady state caused by stretching a sheet while accounting for the inverse Darcy model. The aforementioned computational method is for seeking solutions to ordinary differential equations. Firstly, the momentum equation is changed to an ordinary differential equation by employing the similarity transformation, and then Taylor wavelet method has to be implemented for further analysis. The effect of the viscoelastic parameter, inverse Darcy number, magnetic parameter, and inclination angle on axial and transverse velocity are taken into consideration for study analysis. Engineering application tool local skin friction coefficient variation has been assessed for different parameters, and the estimated local skin friction coefficient is compared with bvp4c, demonstrating the compatibility of the Taylor wavelet approach. https://cmde.tabrizu.ac.ir/article_19191_f25a26235bd03eddaf4b3fd80c0cc963.pdf