Year: 2025
Type: article
Abstract: This paper presents a numerical method for solving Hermite differential equations (HDEs) using operational integration matrices derived from Legendre multiwavelets of linear, quadratic, and cubic orders. The proposed technique transforms HDEs into algebraic systems, enabling efficient and accurate numerical solutions. Through several illustrative examples, the method’s effectiveness is demonstrated, with Cubic Legendre Multiwavelets (CLMW) exhibiting superior accuracy in approximating exact solutions.
Authors: Meenu Devi, Sunil Rawan, Sushil Chandra Rawan, Vineet Kishore Srivastava
Institutions: University of Delhi, Uttaranchal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: University of Delhi
OpenAlex ID: W4416778829