Open Access Library Journal

Volume 7, Issue 10 (October 2020)

ISSN Print: 2333-9705   ISSN Online: 2333-9721

Google-based Impact Factor: 0.47  Citations  

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

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DOI: 10.4236/oalib.1106803    79 Downloads   211 Views  

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.

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Ali, R. and Ibraheem, K. (2020) Solution of Fuzzy Initial Value Problems Using Homotopy Analysis Method and Padè Approximate. Open Access Library Journal, 7, 1-16. doi: 10.4236/oalib.1106803.

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