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Exponentially fitted finite difference methods for a singularly perturbed nonlinear differential-difference equation with a small negative shift

Year: 2025

Type: article

Abstract: This study presents exponentially fitted finite difference methods for solving a singularly perturbed nonlinear differential-difference equation that consists of a small negative shift. The quasilinearization technique is applied to the nonlinear problem and a sequence of linear problems is obtained. The resulting linear problems are treated with exponentially fitted finite difference methods of higher order. The methods developed in this paper are studied for stability and convergence. Numerical results using the proposed methods are presented for two test problems and hence the efficiency of the methods is demonstrated.

Source: BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS

DOI: 10.31489/2025m2/189-207

Authors: T. Prathap, R. Nageshwar Rao

Institution: Vellore Institute of Technology University

Language: English

Topic: Differential Equations and Numerical Methods

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Department of Atomic Energy, Government of India, National Board for Higher Mathematics

OpenAlex ID: W4411840254

FWCI:

Cites: 27

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Related to: 10