Adaptive Single Piecewise Interpolation Reproducing Kernel Method for Solving Fractional Partial Differential Equation

作     者：杜明婧 DU Mingjing

作者机构：Institute of Computer Information ManagementInner Mongolia University of Finance and EconomicsHohhot 010070China 

出 版 物：《Journal of Donghua University(English Edition)》 (东华大学学报（英文版）)

年 卷 期：2022年第39卷第5期

页      面：454-460页

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Natural Science Foundation of Inner Mongolia Autonomous Region of China (No.2019BS01011) Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region,China (No.NJYT-20-B18) 2022 Talent Development Foundation of Inner Mongolia Autonomous Region,China 

主　　题：fractional partial differential equation(FPDE) reproducing kernel method(RKM) single piecewise numerical solution 

摘      要：It is well-known that using the traditional reproducing kernel method(TRKM) for solving the fractional partial differential equation(FPDE) is very intractable. In this study, the adaptive single piecewise interpolation reproducing kernel method(ASPIRKM) is determined to solve the FPDE. This improved method not only improves the calculation accuracy, but also reduces the waste of time. Two numerical examples show that the ASPIRKM is a more time-saving numerical method than the TRKM.