Abstract—In this paper, we propose an efficient modification of the variation iteration method called the fractional interpolated variation iteration method, which uses a radial basis functions to find an approximate solution to a fractional differential equation. We used the fractional-order epidemic problem as a case study. Numerical results show that the proposed method is very efficient, accurate, applicable, and more accurate than some existing methods in the literature.
Index Terms—Differential equations, mathematical modelling, numerical analysis, variation iterative method.
M. Al-Towaiq, Ahmed A. Ababnah, and Safaa Al-Dalahmeh are with Jordan University of Science and Technology, P.O.Box 3030, Irbid 22110, Jordan (e-mail: towaiq@just.edu.jo, aaababnah@just.edu.jo, aldalahmehs@yahoo.com).
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Cite: M. Al-Towaiq, Ahmed A. Ababnah, and Safaa Al-Dalahmeh, "Solution of the Fractional Epidemic Model by a Modified Approach of the Fractional Variation Iterative Method Using a Radial Basis Functions," International Journal of Modeling and Optimization vol. 9, no. 3, pp. 150-154, 2019.