A New Approach for Solving Biological Population Model
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2021-08-13
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Abstract
In this thesis, we apply the fractional Elzaki Adomian decomposition
method (FEADM) and fractional Elzaki variational iteration method
(FEVIM) for solving nonlinear fractional biological population model
(NFBPM) with initial conditions. The fractional derivatives are described
in Caputo fractional derivative (CFD). At first we work on derived the
two methods and after that we apply them to solve this type of equations.
We use numerical methods with the Matlab programming and numerical
results show that the two approaches are very effective and the
approximate solution converges very rapidly to the exact solution which
confirms the accuracy of these methods as easy algorithms for computing
the solutions for wider classes of PDEs with (CFD)