Fitted Parameter Exponential Spline Method for Singularly Perturbed Delay Differential Equations with a Large Delay. (16th August 2022)

• Record Type: Journal Article
• Authors: Prasad, E. Siva; Omkar, R.; Phaneendra, Kolloju
• Other Names: Ramos Higinio Academic Editor.
• Is Part Of: Computational and mathematical methods. (2022)
• Publication Date: 2022-08-16
• Subjects: Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1155/2022/9291834
• Languages: English
• ISSNs: 2577-7408

Abstract

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.