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Publishing Language: Chinese | Open Access

Heaviside operator method for solving partial differential equations with constant coefficients

Jitao LIU1, Jing WANG2( )
School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing 100124
College of Science, Minzu University of China, Beijing 100081
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Abstract

In this paper, a Heaviside operator method for solving the special solution of partial differential equations with nonhomogeneous constant coefficients is given. When the nonhomogeneous term is a polynomial, the solution is concise and straightforward. When the nonhomogeneous term is a quasi-polynomial, it can be transformed into a polynomial case by exponential transformation, so as to obtain a special solution.

Keywords

partial differential equations with constant coefficientsoperator methodspecial solution
CLC number: O17 Document code: A

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Journal of Capital Normal University (Natural Science Edition)
Volume 47 Issue 2,
April 2026
Pages 82-85
DOI: 10.19789/j.1004-9398.2026.02.012

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LIU J, WANG J. Heaviside operator method for solving partial differential equations with constant coefficients. Journal of Capital Normal University (Natural Science Edition), 2026, 47(2): 82-85. https://doi.org/10.19789/j.1004-9398.2026.02.012

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Received: 05 December 2024
Published: 01 April 2026
© The editorial department of Journal of Capital Normal University (Natural Science Edition) 2024.

This is an open access article under the CC BY-NC-ND 4.0 license (https://creativecommons.org/licenses/by-nc-nd/4.0/).