TWO-DIMENSIONAL FRACTIONAL WAVE EQUATION VIA A NEW NUMERICAL APPROACH

被引：0

作者：

Batiha, Iqbal M. ^{[1
,2
]}

Jebril, Iqbal H. ^{[1
]}

Anakira, Nidal ^{[3
]}

Al-Nana, Abeer A. ^{[4
]}

Batyha, Radwan ^{[5
]}

Momani, Shaher ^{[2
,6
]}

机构：

[1] Al Zaytoonah Univ Jordan, Dept Math, POB 130, Amman 11733, Jordan

[2] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates

[3] Sohar Univ, Fac Educ & Arts, Sohar, Oman

[4] Prince Sattam Bin Abdulaziz Univ, Dept Math, Alkharj 11942, Saudi Arabia

[5] Appl Sci Univ, Dept Comp Sci, Amman 11937, Jordan

[6] Univ Jordan, Dept Math, Amman 11942, Jordan

来源：

INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2024年 / 20卷 / 04期

关键词：

Two-dimensional fractional wave equation; Fractional calculus; Lagrange interpolating polynomial; Fractional difference formula;

D O I：

10.24507/ijicic.20.04.1045

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The main goal of this work is to solve the fractional wave equation in two dimensions numerically with the use of some novel fractional formulas. In particular, the proposed approach used to deal with the fractional wave equation introduces two novel fractional difference formulas for approximating the Caputo differentiator of order delta and 2 delta , respectively, where0<delta <= 1. Such formulas, which are derived based on the Lagrange interpolating polynomial, can generate a system of linear equations that can be solved numerically to obtain, ultimately, good approximate solutions to the fractional wave equation for different fractional-order values.

引用

页码：1045 / 1059

页数：15

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