Variational iteration method used to solve the one-dimensional acoustic equations

Conference on Theoretical Physics and Nonlinear Phenomena 2016

Setianingrum, Paskalia Siwi^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;    Approximate solution;    Exact solution;    Explicit form;    Linear and nonlinear problems;    New applications;    Variational iteration method;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/856/1/012010/pdf
DOI  :  10.1088/1742-6596/856/1/012010

来源: IOP

【 摘 要 】

Variational iteration method has been successful to solve a wide range of linear and nonlinear problems. This method is convergent to the exact solution, and furthermore, if there is an explicit form of the exact solution, then the method converges very rapidly. In this paper, we consider acoustic equations. Our contribution is a new application of the variational iteration method for solving the acoustic equations. Results show that the variational iteration method gives physically correct approximate solutions to the acoustic equations. We demonstrate the method solving the acoustic equations using several iterations.