Resolving the Singularly Perturbed Two - Point Boundary Value Problem using Quadrature method

Abstract

In this research paper, we are fascinated to recount a Green shift to solve a specifically motivated to work two-point limit confidence problem with end limit layer in the stretch [0,1]. We investigated the appropriateness of the mathematical design while using the well-known Greens adjustment to a specific problem. During the approach, on two straight models, the quadrature method was applied. For exactness and to identify the error bound, the numerically computed results were compared to the analytical solutions. Computationally determined Findings were considered for the plan's assembly, and they are in appropriate agreement with the particular arrangement that is available in the literature. The analytical solutions found in the literature are closely associated with the simulation result.