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Application of Effective Semi-Analytical Algorithms for Neutral and Retarded Volterra Integrodifferential Equations |
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PP: 507-519 |
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doi:10.18576/amis/170312
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Author(s) |
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Mohamed S. M. Bahgat,
Mofida Zaki,
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Abstract |
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| This study developed three semi-analytical algorithms to solve functional integrodifferential equations with variable
delays under initial conditions. These algorithms embrace the Laplace Adomian decomposition method (LADM), the
modified Laplace Adomian decomposition method (MLADM), and the Laplace variational iteration method (LVIM).
Using the suggested approaches, we find the solutions without discretization, transformation, or limiting traditions
while considering suitable initial conditions. In addition, the solutions are generated in fast-converging series with
easily calculable terms. The proposed methodologies are tested numerically on three numerical applications to prove
their efficacy and dependability as well as to compare their computational efficiency. Based on the numerical results,
it is evident that the procedures offered are both effective and correct |
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