Iterative algorithm for parabolic and hyperbolic PDEs with nonlocal boundary conditions

作     者：N.A.Al-Zaid H.O.Bakodah 

作者机构：Department of MathematicsKing Abdulaziz UniversityJeddahSaudi Arabia 

出 版 物：《Journal of Ocean Engineering and Science》 (海洋工程与科学（英文）)

年 卷 期：2018年第3卷第4期

页      面：316-324页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Adomian Decomposition Method Restarted method Parabolic and hyperbolic PDEs Nonlocal boundary conditions. 

摘      要：In this paper,we are concerned with the numerical solutions for the parabolic and hyperbolic partial differential equations with nonlocal boundary ***,we presented a new iterative algorithm based on the Restarted Adomian Decomposition Method(RADM)for solving the two equations of different types involving dissimilar boundary and nonlocal *** algorithm presented transforms the given nonlocal initial boundary value problem to a local Dirichlet one and then employs the RADM for the numerical *** comparisons were made between our proposed method and the Adomian Decomposition Method(ADM)to demonstrate the efficiency and performance of the proposed method.