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Z. Naturforsch. 66a, 760 – 768
(2011)
doi:10.5560/ZNA.2011-0046
A New Semi-Analytical Solution of the Telegraph Equation with Integral Condition
1 Department of Mathematics, Imam Khomeini International University, Ghazvin 34149, Iran
2 Young Researchers Club, Buin Zahra Branch, Islamic Azad University, Buin Zahra, Iran
Received March 10, 2011 / revised July 31, 2011
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In the current work, the telegraph equation in its general form and with an integral condition is investigated. Also the well-known homotopy analysis method (HAM) is applied and an interesting iterative algorithm is proposed for solving the problem in general form. Some numerical examples are given and compared with the exact solution to show the effectiveness of the proposed method.
Key words: Telegraph Equation; Linear and Nonlinear Forcing; Nonlocal Boundary Condition; Series Solution; Integral Condition; Homotopy Analysis Method.