Modified integral equation combined with the decomposition method for time fractional differential equations with variable coefficients

作     者：Muhammad Amin Sadiq Murad Muhammad Amin Sadiq Murad

作者机构：Department of MathematicsCollege of ScienceUniversity of DuhokDuhokIraq 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2022年第37卷第3期

页      面：404-414页

核心收录：

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

主　　题：Elzaki transformation Adomian decomposition method time-fractional fourth-order parabolic Variation iteration method Laplace homotopy perturbation 

摘      要：In this paper,the modified integral equation,namely,Elzaki transformation coupled with the Adomian decomposition method called Elzaki Adomian decomposition method(EADM)is used to investigate the solution of time-fractional fourth-order parabolic partial differential equations(PDEs)with variable *** introduced method is used to solve two models of the proposed problem,the analytical and approximate solutions of the models are *** outcomes illustrate that the proposed technique is a highly accurate,and facilitates the process of solving differential equations by comparing it,with the exact solution and those obtained by the variation iteration method(VIM)and Laplace homotopy perturbation method(LHPM).