A predictor-corrector scheme for solving nonlinear fractional differential equations with uniform and nonuniform meshes

被引：7

作者：

Javidi, Mohammad ^{[1
]}

Heris, Mahdi Saedshoar ^{[1
]}

Alunad, Bashir ^{[2
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Tabriz, Iran

[2] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, POB 80203, Jeddah 21589, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING | 2019年 / 10卷 / 05期

关键词：

Predictor-corrector approach; fractional differential equation; Equidistributing meshes; DETAILED ERROR ANALYSIS; ORDER; IMPEDANCE; CALCULUS; FORMULAS; MODELS; DELAY;

D O I：

10.1142/S1793962319500338

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we develop two algorithms for solving linear and nonlinear fractional differential equations involving Caputo derivative. For designing new predictor-corrector (PC) schemes, we select the mesh points based on the two equal-height and equal-area distribution. Furthermore, the error bounds of PC schemes with uniform and equidistributing meshes are obtained. Finally, examples are constructed for illustrating the obtained PC schemes with uniform and equidistributing meshes. A comparative study is also presented.

引用

页数：35

共 48 条

[1] Modeling some real phenomena by fractional differential equations [J].