<p>This paper delves into the feasibility of addressing the one-dimensional coupled Burgers’ equation with an explicit tailored finite point method (TFPM). The choice of a TFPM is an attempt to work beyond accuracy by placing equitable emphasis on developing an accessible and simple algorithm. The method basically functions on an explicit 4-point centered stencil where the nodal solutions on the advanced temporal level are represented as the linear combination of nodal solutions on the preceding temporal level. The scalars involved are determined by the application of the fundamental set of solutions, obtained through the method of separation of variables, into the linear combination within each local cell constituted by the stencil, thereby inducing the pith of the localized exact solutions into the TFPM approximations. The methodology, founded upon the utilization of linear combinations, streamlines computations by obviating the necessity for intricate matrix calculations and inversions. The competence of the method is recognized through theoretical analyses of stability, consistency, and convergence complemented by numerical compatibility established through comparisons of solutions of standard examples with exact solutions and solutions from other methods in existing literature. The method extends the possibility of being accessed for other non-linear problems and higher dimensions.</p>