Work

Fitted Parameter Exponential Spline Method for Singularly Perturbed Delay Differential Equations with a Large Delay

Year: 2022

Type: article

Abstract: In this paper, we present a new computational method based on an exponential spline for solving a class of delay differential equations with a negative shift in the differentiated term. When the shift parameter is O ε , the proposed method works well and also controls the oscillations in the solution’s layer region. To accomplish this, we included a parameter in the proposed numerical scheme that is based on a special type of mesh, and the parameter is evaluated using the theory of singular perturbation. Maximum absolute errors and convergences of numerical solutions are tabulated to demonstrate the efficiency of the proposed computational method and to support the convergence analysis of the presented scheme.

Source: Computational and Mathematical Methods

DOI: 10.1155/2022/9291834

Authors: E. Siva Prasad, R. Omkar, Kolloju Phaneendra

Institution: Osmania University

Language: English

Topic: Singular Perturbation, Asymptotics and Difference Schemes

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $920

OpenAlex ID: W4292018554