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

作　　者：Mohammad Javidi Mahdi Saedshoar Heris Bashir Ahmad 

机构地区：[1]Faculty of Mathematical Sciences University of Tabriz,Tabriz,Iran [2]Nonlinear Analysis and Applied Mathematics Research Group(NAAM)King Abdulaziz University,P.O.Box 80203 Jeddah 21589,Saudi Arabia

出　　处：《International Journal of Modeling, Simulation, and Scientific Computing》2019年第5期108-142,共35页建模、仿真和科学计算国际期刊（英文）

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.

关 键 词：MESHES FRACTIONAL UNIFORM 

分 类 号：O17[理学—数学]