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Solution of Fuzzy Initial Value Problems Using Homotopy Analysis Method and Padè Approximate

DOI: 10.4236/oalib.1106803, PP. 1-16

Subject Areas: Fuzzy Mathematics

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Abstract

In this paper, we have studied and developed some analytical methods for solving some linear and fuzzy differential equations of the first degree with their fuzzy elementary conditions using the homotopy analytical method, using the approximate Padè method, and comparing the results with the exact solution of the equation, which indicates that the error decreases exponentially with the N degree of approximation. Also, we made some improvements to the solution results by using Padè enhancements as shown in the two examples with tables and figures.

Cite this paper

Ali, R. H. and Ibraheem, K. I. (2020). Solution of Fuzzy Initial Value Problems Using Homotopy Analysis Method and Padè Approximate. Open Access Library Journal, 7, e6803. doi: http://dx.doi.org/10.4236/oalib.1106803.

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