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A Study on the Fractional Ebola Virus Model by the Semi-Analytic and Numerical Approach | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 مرداد 1403 اصل مقاله (870.74 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.61485.2653 | ||
| نویسندگان | ||
| Sachin Kelagere Narayana؛ Suguntha Devi Kannadasan* ؛ Kumbinarasaiah Srinivasa | ||
| Department of Mathematics, Bangalore University, Bengaluru-560056, India. | ||
| چکیده | ||
| In this study, An Ebola virus model involving the fractional derivatives in the Caputo sense is considered and studied through three different techniques called the Homotopy analysis method (HAM), Haar wavelet method (HWM), and Runge-Kutta method (RKM). HAM is a semi-analytical approach proposed for solving fractional order nonlinear systems of ordinary differential equations (ODEs), the Haar wavelet technique (HWT) is a numerical approach for both fractional and integer order, and the RK method is a numerical method used to solve the system of ODEs. We have drawn a semi-analytical solution in terms of a series of polynomials and numerical solutions for the model. First, we solved the model through HAM by choosing the preferred control parameter. Secondly, HWT is considered; through this technique, the operational matrix of integration is used to convert the given FDEs into a set of algebraic equation systems, and then the RK method is applied. The model is studied through all three methods, and the solutions are juxtaposed with ND Solver solutions. The nature of the model is analyzed with different parameters, and the calculations are performed using Scilab and Mathematica software. The Obtained results are expressed in graphs and tables. Theorems on convergence have been discussed in terms of theorems. | ||
| کلیدواژهها | ||
| Fractional calculus؛ Ebola virus model؛ HAM؛ Haar wavelet | ||
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آمار تعداد مشاهده مقاله: 143 تعداد دریافت فایل اصل مقاله: 132 |
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