MODIFIED FINITE ELEMENT NUMERICAL METHOD FOR SOLVING CONFORMABLE SPACE-TIME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Hadhoud, Adel Rashad ^{[1
]}

Abd Alaal, Faisal Ezz-Eldeen ^{[2
]}

Radwan, Taha ^{[3
,4
]}

机构：

[1] Menoufia Univ, Fac Sci, Dept Math & Comp Sci, Shibin Al Kawm, Egypt

[2] Damanhour Univ, Fac Sci, Dept Math, Damanhour, Egypt

[3] Qassim Univ, Coll Sci & Arts, Dept Math, Ar Rass, Saudi Arabia

[4] Port Said Univ, Fac Management Technol & Informat Syst, Dept Math & Stat, Port Said, Egypt

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2022年 / 30卷 / 10期

关键词：

Space-Time Fractional Partial Differential Equation; Galerkin Method; Cubic B-Spline Polynomials; Von Neumann Method; Stability;

D O I：

10.1142/S0218348X22402472

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper shows how to approximate the solution to a nonlinear conformable space-time fractional partial differential equations. The proposed method is based on the Cubic B-spline polynomials and Galerkin method. Two test problems show that the approach we use to approximate the proposed equation is accurate and efficient. We apply the Von Neumann approach to show that stability requires some conditions.

引用

页数：10

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