BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 20 No 1 (2026): BAREKENG: Journal of Mathematics and Its Application

NUMERICAL SOLUTIONS OF HERMITE DIFFERENTIAL EQUATIONS USING LEGENDRE MULTIWAVELETS

Devi, Meenu (Unknown)
Rawan, Sunil (Unknown)
Rawan, Sushil Chandra (Unknown)
Srivastava, Vineet Kishore (Unknown)

Article Info

Publish Date
24 Nov 2025

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.

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Journal Info
BAREKENG: Jurnal Ilmu Matematika dan Terapan
Website

Abbrev

barekeng

Publisher

Universitas Pattimura

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...