Kumari, ParvinKumar, DevendraBaleanu, Dumitru2025-05-112025-05-1120250259-97911572-8897https://doi.org/10.1007/s10910-024-01692-8https://hdl.handle.net/20.500.12416/9575A parameter-uniform solution is presented for singularly perturbed turning point problems with twin boundary layers. A fitted mesh is created in order to resolve the layers, and the provided equation is discretized using the cubic B-spline basis functions on this mesh. For the analytic solution and its derivatives, asymptotic bounds are provided. A brief analysis shows that the method is first-order precise in time and second-order accurate (up to a logarithm factor) in space, and that it is uniformly convergent regardless of the minuscule parameter. Two test problems are offered in order to verify the theoretical results.eninfo:eu-repo/semantics/closedAccessSingularly Perturbed ProblemTurning PointPiecewise-Uniform MeshTwin Boundary LayersUniformly Convergent SchemeArticle10.1007/s10910-024-01692-82-s2.0-85208988311