A new approach for pseudo hyperbolic partial differential equations with nonLocal conditions using Laplace Adomian decomposition method

被引：0
|
作者：
Modanli, Mahmut [1 ]
Abdulazeez, Sadeq Taha [2 ]
Husien, Ahmad Muhamad [3 ]
机构：
[1] Harran Univ, Fac Arts & Sci, Dept Math, TR-63300 Sanliurfa, Turkiye
[2] Duhok Univ, Coll Basic Educ, Dept Math, Duhok, Iraq
[3] Univ Duhok, Coll Sci, Dept Math, Duhok, Iraq
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2024年 / 39卷 / 04期
关键词：
pseudo hyperbolic equations; nonlocal conditions; Laplace-Adomian decomposition method; Approximate solutions;
D O I：
10.1007/s11766-024-4392-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper provides a nonlinear pseudo-hyperbolic partial differential equation with non-local conditions. Despite the importance of this problem, the exact solution to this problem is rare in the literature. Therefore, the Laplace-Adomian Decomposition Method (LADM) is used to provide a new approach to solving this problem. Additionally, we give a comparison between the exact and approximate solutions at various points with absolute error. The obtained result showed that the proposed method is effective and accurate for this problem and can be used for many other evolution of nonlinear equations in mathematical physics.
引用
收藏
页码：750 / 758
页数：9
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