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NUMERICAL SOLUTIONS OF BERNOULLI DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES BY RUNGE-KUTTA TECHNIQUES
(Elmergib University, 2021-06)
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 ...
BERNOULLI DIFFERENTIAL EQUATION OF SECOND ORDER WITH FRACTIONAL DERIVATIVE
(Elmergib University, 2020-12)
In this study, we present a second order nonlinear equation with nonlinearity of Bernoulli type, which include fractional order derivatives. We consider the numerical solution of the nonlinear equation using the Picard ...
Classical Comparison of Numerical Methods for Solving Differential Equations of Fractional Order
(ELMERGIB UNIVERSITY, 2019-06)
In this paper, a numerical method is presented for finding the solution of differential equations. The main objective is to find the approximate solution of fractional differential equation of order . This work is a ...
Accelerating the Modified Picard Iteration By Using Green's Function Approach
(Elmergib University, 2016-12)
We consider the Picard's iteration method as a technique for solving initial value problems of the first and second order linear differential equations. The basic idea is the use of Green's function to collect some of the ...