A NUMERICAL METHOD FOR TWO-DIMENSIONAL DISTRIBUTED-ORDER FRACTIONAL NONLINEAR SOBOLEV EQUATION

被引：0

作者：

Zhagharian, Sh. ^{[1
]}

Heydari, M. H. ^{[1
]}

Razzaghi, M. ^{[2
]}

机构：

[1] Shiraz Univ Technol, Dept Math, Modarres Blvd, Shiraz 7155713876, Iran

[2] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 05期

关键词：

Distributed-order fractional derivative; nonlinear Sobolev equation; Chebyshev cardinal polynomials; operational matrices; SCHEME;

D O I：

10.11948/20220480

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study introduces the distributed-order fractional version of the nonlinear two-dimensional Sobolev equation. The orthonormal Chebyshev cardinal polynomials are used to construct a numerical method for this equation. To this end, some derivative matrices related to these polynomials are obtained. The proposed approach turns to solve this equation into solving a nonlinear system of algebraic equations by approximating the unknown solution using the expressed polynomials and employing their derivative matrices. The applicability and validity of this method are examined by solving three examples.

引用

页码：2630 / 2645

页数：16

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