An accelerated solution for some classes of nonlinear partial differential equations

Journal of the Egyptian Mathematical Society

E. M. Mohamed¹  H. A. A. El-Saka¹  I. L. El-Kalla² 

[1] Mathematics Department, Faculty of Science, Damietta University, New Damietta, Egypt;Physics and Engineering Mathematics Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt;

关键词: Adomian decomposition method;    Adomian polynomials;    Nonlinear partial differential equations;    35A01;    35A02;    35A35;   

DOI  :  10.1186/s42787-021-00116-9

来源: Springer

【 摘 要 】

In this paper, we apply an accelerated version of the Adomian decomposition method for solving a class of nonlinear partial differential equations. This version is a smart recursive technique in which no differentiation for computing the Adomian polynomials is needed. Convergence analysis of this version is discussed, and the error of the series solution is estimated. Some numerical examples were solved, and the numerical results illustrate the effectiveness of this version.

【 授权许可】

CC BY