Mighani, M., Saeedi, S. (2017). An Efficient Technique in Finding the Exact Solutions for Cauchy Problems. Medbiotech Journal, 01(03), 126-130. doi: 10.22034/mbt.2017.86993
M. Mighani; S. Saeedi. "An Efficient Technique in Finding the Exact Solutions for Cauchy Problems". Medbiotech Journal, 01, 03, 2017, 126-130. doi: 10.22034/mbt.2017.86993
Mighani, M., Saeedi, S. (2017). 'An Efficient Technique in Finding the Exact Solutions for Cauchy Problems', Medbiotech Journal, 01(03), pp. 126-130. doi: 10.22034/mbt.2017.86993
Mighani, M., Saeedi, S. An Efficient Technique in Finding the Exact Solutions for Cauchy Problems. Medbiotech Journal, 2017; 01(03): 126-130. doi: 10.22034/mbt.2017.86993
An Efficient Technique in Finding the Exact Solutions for Cauchy Problems
1Department of Architectural Engineering, Shomal University, Amol, Iran
2Department of Architectural Engineering, Shahid Beheshti University, Tehran, Iran
Receive Date: 26 May 2017,
Revise Date: 14 June 2017,
Accept Date: 27 June 2017
Abstract
In this paper, the Reconstruction of Variational Iteration Method (RVIM) is used to solve the Cauchy problem. The new applied algorithm is a powerful and efficient technique in finding solutions for the linear and nonlinear equations using only few terms. The Reconstruction of Variational Iteration Method(RVIM) technique is independent of any small parameters at all. Besides, it provides us with a simple way to ensure the convergence of solution series, so that we can always get accurate enough approximations. Some examples are given to elucidate the solution procedure and reliability of the obtained results.
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