Numerical Analysis of Discrete Laplace Transform for Higher Order Cosine Function and Applications in Initial Value Problem

Open Access

Original research article

Author(s):

B. Govindan^a, T. Sathinathan^b, S. John Borg^c, Sandra Pinelas^d, M. Meganathan^e

^aDepartment of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Vellore, Tamil Nadu, India
^bDepartment of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Vellore, Tamil Nadu, India
^cDepartment of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Vellore, Tamil Nadu, India
^dDepartamento de Ciências Exatas e Engenharia, Academia Militar, Av. Conde Castro Guimarães, 2720-113 Amadora, Portugal, and Center for Research and Development in Mathematics and Applications (CIDMA), Departamento de Matemática, Universidade de Aveiro, 3810-193 Aveiro, Portugal
^eDepartment of Humanities and Science (Mathematics), S.A. Engineering College (Autonomous), Chennai-600077, India

Advances in the Theory of Nonlinear Analysis and its Applications 7(5), 183–192.

Received: September 26, 2023

Accepted: November 30, 2023

Published: December 25, 2025

Abstract

In this research work, we obtain Discrete Laplace Transform (DILAT) of higher order cosine functions and use these DILAT results by employing Initial Value Problems to get applications in the field of physical sciences. Also, we present several theorems and examples to illustrate our findings using MATLAB.

Keywords: Difference equation; Difference operator; Laplace transform; Initial value problem.

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APA Style

Govindan, B., Sathinathan, T., John Borg, S., Pinelas, S., & Meganathan, M. (2023). Numerical analysis of discrete Laplace transform for higher order cosine function and applications in initial value problem. Advances in the Theory of Nonlinear Analysis and Its Application, 7(5), 183–192.