SOLVING A NONLINEAR INVERSE PROBLEM OF THE CAMASSA-HOLM EQUATION

被引：0

作者：

Zeidabadi, H. ^{[1
]}

Pourgholi, R. ^{[2
]}

Basiri, A. ^{[2
]}

Boroujeni, A. Aliyari ^{[2
]}

机构：

[1] Hakim Sabzevari Univ, Fac Math & Comp Sci, Dept Appl Math, Sabzevar, Iran

[2] Damghan Univ, Sch Math & Comp Sci, POB 36715-364, Damghan, Iran

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2025年 / 15卷 / 04期

关键词：

Polynomial scaling functions; Operational matrix of derivative; Collocation method; Inverse problems; Convergence analysis; Noisy data; NUMERICAL-SOLUTION; DIFFUSION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. In order to solve the nonlinear inverse Camassa-Holm equations, a numerical method is developed by applying finite difference formula to time discrimination and collocation of polynomial scaling functions for spatial variable. Using operational matrix of derivative, the problem is reduced to a set of algebraic equation. An estimation of error bound is investigated for presented method. Also, to show the accuracy of the proposed method, it is applied on two test problems. One of the most important advantages of this work, compared to previous works, is the implementation simplicity.

引用

页码：994 / 1008

页数：15

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