In this research paper, we present an accurate technique for solving the system of linear differential equations. Such equations often arise as a result of modeling in many systems and applications of engineering and science. The proposed scheme is based on Hermite wavelets basis functions and operational matrices of integration. The demonstrated scheme is simple as it converts the problem into algebraic matrix equation. To validate the applicability and efficacy of the developed scheme, some illustrative examples are also considered. The results so obtained with the help of the present proposed numerical technique by using Hermite wavelets are observed to be more accurate and favorable in comparison with those by using Haar wavelets.
Singh, Inderdeep and Kaur, Manbir
(R1987) Hermite Wavelets Method for System of Linear Differential Equations,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 18,
1, Article 17.
Available at: https://digitalcommons.pvamu.edu/aam/vol18/iss1/17