NUMERICAL SOLUTIONS OF HERMITE DIFFERENTIAL EQUATIONS USING LEGENDRE MULTIWAVELETS

DOI: https://doi.org/10.30598/barekengvol20iss1pp0691-0710
Keywords: Cubic Legendre multiwavelets, Hermite differential equations, Linear Legendre multiwavelets, Operational matrix of integration, Quadratic Legendre multiwavelets

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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Published
2025-11-24
How to Cite
[1]
M. Devi, S. Rawan, S. C. Rawan, and V. K. Srivastava, “NUMERICAL SOLUTIONS OF HERMITE DIFFERENTIAL EQUATIONS USING LEGENDRE MULTIWAVELETS”, BAREKENG: J. Math. & App., vol. 20, no. 1, pp. 0691-0710, Nov. 2025.
Issue
Vol 20 No 1 (2026): BAREKENG: Journal of Mathematics and Its Application
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Articles

Copyright (c) 2025 Meenu Devi, Sunil Rawan, Sushil Chandra Rawan, Vineet Kishore Srivastava

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