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

被引:2
|
作者
Setianingrum, Paskalia Siwi [1 ]
Mungkasi, Sudi [2 ]
机构
[1] Sanata Dharma Univ, Fac Teacher Training & Educ, Postgrad Program Math Educ, Tromol Pos 29, Mrican 55002, Yogyakarta, Indonesia
[2] Sanata Dharma Univ, Fac Sci & Technol, Dept Math, Tromol Pos 29, Mrican 55002, Yogyakarta, Indonesia
关键词
FINITE-VOLUME METHODS;
D O I
10.1088/1742-6596/856/1/012010
中图分类号
O4 [物理学];
学科分类号
0702 ;
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.
引用
收藏
页数:7
相关论文
共 50 条
  • [1] Adomian decomposition method used to solve the one-dimensional acoustic equations
    Dispini, Meta
    Mungkasi, Sudi
    [J]. CONFERENCE ON THEORETICAL PHYSICS AND NONLINEAR PHENOMENA 2016, 2017, 856
  • [2] Application of the variational iteration method to some nonlinear one-dimensional oscillations
    Vasile Marinca
    Nicolae Herişanu
    Constantin Bota
    [J]. Meccanica, 2008, 43 : 75 - 79
  • [3] Application of the variational iteration method to some nonlinear one-dimensional oscillations
    Marinca, Vasile
    Herisanu, Nicolae
    Bota, Constantin
    [J]. MECCANICA, 2008, 43 (01) : 75 - 79
  • [4] Solution of One-Dimensional Fractional Order Partial Integro-Differential Equations using Variational Iteration Method
    Hussain, Amina Kassim
    Rusli, Nursalasawati
    Fadhel, Fadhel Subhi
    Yahya, Zainor Ridzuan
    [J]. INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2016 (ICOMEIA2016), 2016, 1775
  • [5] Shehu Variational Iteration Method For Solve Some Fractional Differential Equations
    Boulekhras, Amina
    Belghaba, Kacem
    [J]. COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2022, 13 (03): : 1207 - 1219
  • [6] Variational iteration method for one dimensional nonlinear thermoelasticity
    Sweilam, N. H.
    Khader, M. M.
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 32 (01) : 145 - 149
  • [7] SOLUTION OF ONE-DIMENSIONAL MOVING BOUNDARY PROBLEM WITH PERIODIC BOUNDARY CONDITIONS BY VARIATIONAL ITERATION METHOD
    Rajeev
    Rai, Kabindra Nath
    Das, Subir
    [J]. THERMAL SCIENCE, 2009, 13 (02): : 199 - 204
  • [8] A VARIATIONAL-NUMERICAL METHOD TO SOLVE THE ONE-DIMENSIONAL WAVE-EQUATION FOR AN ARBITRARY POTENTIAL
    UTRERASDIAZ, CA
    LETELIER, JR
    [J]. COMPUTERS & CHEMISTRY, 1995, 19 (01): : 39 - 43
  • [9] A dissipation-free numerical method to solve one-dimensional hyperbolic flow equations
    Cao, Zhiwei
    Liu, Zhifeng
    Wang, Xiaohong
    Shi, Anfeng
    Luo, Haishan
    Noetinger, Benoit
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2017, 85 (04) : 247 - 263
  • [10] Variational Iteration Method Used to Solve Steady State Problems of Shallow Water Flows
    Setianingrum, Paskalia Siwi
    Mungkasi, Sudi
    [J]. 2016 CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCE FOR ADVANCED TECHNOLOGY (CONFAST 2016), 2016, 1746