B. Govindan¹, T. Sathinathan², S. John Borg³, Sandra Pinelas⁴ and M. Meganathan⁵
¹,²,³Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Vellore, Tamil Nadu, India.
⁴ Departamento de Ciências Exatas e Engenharia, Academia Militar, Av. Conde Castro Guimarães, 2720-113 Amadora, Portugal.
⁴ Center for Research and Development in Mathematics and Applications (CIDMA), Departamento de Matemática, Universidade de Aveiro, 3810-193 Aveiro.
⁵ Department of Humanities and Science (Mathematics), S.A. Engineering College (Autonomous), Chennai – 600077, S. India.
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.
Govindan, B., Sathinathan, T., Borg, S. J., Pinelas, S., & Meganathan, M. (2024). 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, 8(1), 25–36.