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Solution of Conformable Volterra’s Population Growth Model via Analytical and Numerical Approaches |
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PP: 695-706 |
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doi:10.18576/pfda/100412
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Author(s) |
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Shatha Hasan,
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Abstract |
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| In this paper, we aim to consider a conformable Volterra’s population growth model which is a nonlinear integro-differential equation that represents population growth of a species in a closed system. We investigate an analytic solution in the form of rapidly convergent fractional power series whose coefficients are obtained depending on minimizing the residual function that related to the equation under study.
The approximate solution for the conformable Volterra’s population growth model is presented by plotting its curves for different orders of the conformable derivative and for different values of the equation parameters. Numerical values for the residual function are tabulated to prove the efficiency and accuracy of our proposed algorithm. Moreover, the method of successive substitution is carried out to the same model in order to compare its results to those of the residual power series method, so we can show the validity and high accuracy of the proposed technique.
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