Work

Computational approaches for singularly perturbed turning point problems with non-local boundary conditions

Year: 2025

Type: article

Abstract: In this research article, a computational method is introduced to address the turning point problem (TPP) of second-order differential equation with integral boundary condition (IBC). Due to the presence of turning point at s = 0 , the problem exhibit boundary layer at s = − 1 and s = 1 . The discretization process for these differential equations employs the finite difference scheme, while the integration conditions are discretized using the Trapezoidal rule, applied on piecewise uniform meshes known as Shiskin mesh. The proposed method is close to first order convergent. Some numerical examples are provided to validate the theoretical results.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2025.101122

Authors: V. Raja, E. Sekar, K. Loganathan

Institutions: SRM Institute of Science and Technology, Amrita Vishwa Vidyapeetham, Manipal University Jaipur

Language: English

Topic: Differential Equations and Numerical Methods

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,470

OpenAlex ID: W4407464488

FWCI: 3.082

Cites: 34

Cited by: 3

Related to: 10