NUMERICAL SOLUTIONS OF BERNOULLI DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES BY RUNGE-KUTTA TECHNIQUES
DOI:
https://doi.org/10.65137/jhas.v6i11.407Keywords:
Bernoulli equation with fractional derivatives, Initial value problem, Runge-Kutta, Modified Runge-Kutta and Runge-Kutta Mersian MethodsAbstract
In this article, we discussed the numerical solution of Brnoulli's equation with fractional derivatives subject to initial value problems by applying 4th order Runge-Kutta, modified Runge-Kutta and Runge-Kutta Mersian methods. Here the solutions of some numerical examples have been obtained with the help of mathematica program as well as we determined the exact analytic solutions.
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