Numerical solutions of mathematical model on fractional Lotka-Volterra equations
عنوان مقاله: Numerical solutions of mathematical model on fractional Lotka-Volterra equations
شناسه ملی مقاله: BIMM01_041
منتشر شده در اولین همایش ملی ریاضیات زیستی در سال 1397
شناسه ملی مقاله: BIMM01_041
منتشر شده در اولین همایش ملی ریاضیات زیستی در سال 1397
مشخصات نویسندگان مقاله:
Haleh Tajadodi - Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
خلاصه مقاله:
Haleh Tajadodi - Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
In this paper, we present the solutions of fractional Lotka-Volterra equations with the help of linear B-spline polynomials. The key-idea is to expand unknown function in terms of the B-spline polynomials. In this way, we use the operational matrices of fractional integration and multiplication. By using these matrices, the given problem can be changed to the system of algebraic equations, and by solving this sys- tem, we obtain the solutions of problem. Numerical results are demonstrated the e ciency and simplicityof this technique for this historical biological model.
کلمات کلیدی: Fractional dierential equations, Lotka-Volterra model, B-spline.
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/882671/