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A numerical solution of the vibration equation using modified decomposition method

✍ Scribed by S. Das

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
348 KB
Volume
320
Category
Article
ISSN
0022-460X

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✦ Synopsis

In the present paper the well-known vibration equation for very large membrane with the help of powerful modification of Adomian decomposition method proposed by Wazwaz [A reliable modification of Adomian decomposition method, Applied Mathematics and Computation 102 (1999) 77-86] has been solved. By using initial value, the explicit solutions of the equation for different cases have been derived, which accelerate the rapid convergence of the series solution. The present method performs extremely well in terms of efficiency and simplicity. Numerical results for different particular cases of the problem are presented graphically.

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