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

作　　者：Muhammad Amin Sadiq Murad 

机构地区：[1]Department of Mathematics,College of Science,University of Duhok,Duhok,Iraq

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2022年第3期404-414,共11页高校应用数学学报（英文版）（B辑）

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 coefficients.The introduced method is used to solve two models of the proposed problem,the analytical and approximate solutions of the models are obtained.The 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).

关 键 词：Elzaki transformation Adomian decomposition method time-fractional fourth-order parabolic Variation iteration method Laplace homotopy perturbation 

分 类 号：O241.83[理学—计算数学]