Explicit Analytic Solution of Vibration Equation for large domain by mean of the Elzaki projected Differential Transform Method

Authors

  • Muhammad Suleman Zhejiang University, Hangzhou, Zhejiang
  • Qingbiao Wu Zhejiang University, Hangzhou, Zhejiang
  • TM Elzaki Faculty of Sciences and Arts, University of Jeddah

DOI:

https://doi.org/10.24297/jam.v11i5.1251

Keywords:

Elzaki projected differential transform method, explicit series solution, vibration equation, large membrane, initial condition

Abstract

The aim of this paper is to present a reliable and efficient algorithm Elzaki projected differential transform method (EPDTM) to obtain the explicit solution of vibration equation for a very large membrane with given initial conditions. By using initial conditions, explicit series solutions for six different cases have been derived for the fast convergence of the solution. Numerical results show the reliability, efficiency and accuracy of Elzaki projected differential transform method (EPDTM). Numerical results for the six different cases are presented graphically.

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Author Biographies

Muhammad Suleman, Zhejiang University, Hangzhou, Zhejiang

Department of Mathematics

Qingbiao Wu, Zhejiang University, Hangzhou, Zhejiang

Department of Mathematics

TM Elzaki, Faculty of Sciences and Arts, University of Jeddah

Mathematics Department

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Published

2015-10-13

How to Cite

Suleman, M., Wu, Q., & Elzaki, T. (2015). Explicit Analytic Solution of Vibration Equation for large domain by mean of the Elzaki projected Differential Transform Method. JOURNAL OF ADVANCES IN MATHEMATICS, 11(5), 5244–5257. https://doi.org/10.24297/jam.v11i5.1251

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Articles