Adomian decomposition method used to solve the one-dimensional acoustic equations

Conference on Theoretical Physics and Nonlinear Phenomena 2016

Dispini, Meta^1 ; Mungkasi, Sudi^2

Postgraduate Program in Mathematics Education, Faculty of Teacher Training and Education, Sanata Dharma University, Mrican, Tromol Pos 29, Yogyakarta

55002, Indonesia^1

Department of Mathematics, Faculty of Science and Technology, Sanata Dharma University, Mrican, Tromol Pos 29, Yogyakarta

55002, Indonesia^2

关键词: Acoustic equation;    Adomian decomposition;    Adomian Decomposition Method;    Exact solution;    Maple software;    Recursive methods;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/856/1/012003/pdf
DOI  :  10.1088/1742-6596/856/1/012003

来源: IOP

【 摘 要 】

In this paper we propose the use of Adomian decomposition method to solve one-dimensional acoustic equations. This recursive method can be calculated easily and the result is an approximation of the exact solution. We use the Maple software to compute the series in the Adomian decomposition. We obtain that the Adomian decomposition method is able to solve the acoustic equations with the physically correct behavior.