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Approximate and Generalized Solutions of Conformable Type Coudrey-Dodd-Gibbon-Sawada-Kotera Equation
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In this study, we consider conformable type
Coudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation. Three powerful
analytical methods are employed to obtain generalized solutions of the
nonlinear equation of interest. First, the sub-equation method is used
as baseline where generalized closed form solutions are obtained and are
exact for any fractional order alpha. Furthermore, Residual power series
(RPSM) and q-homotopy (q-HAM) analysis techniques are then applied to
obtain approximate solutions. These are possible using some properties
of conformable derivative. These approximate methods are very powerful
and efficient due to the absence of the need for linearization,
discretization and perturbation. Numerical simulations are carried out
showing error values, h-curve for q-HAM and the effects of fractional
order on the solution profiles.
Title: Approximate and Generalized Solutions of Conformable Type Coudrey-Dodd-Gibbon-Sawada-Kotera Equation
Description:
In this study, we consider conformable type
Coudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation.
Three powerful
analytical methods are employed to obtain generalized solutions of the
nonlinear equation of interest.
First, the sub-equation method is used
as baseline where generalized closed form solutions are obtained and are
exact for any fractional order alpha.
Furthermore, Residual power series
(RPSM) and q-homotopy (q-HAM) analysis techniques are then applied to
obtain approximate solutions.
These are possible using some properties
of conformable derivative.
These approximate methods are very powerful
and efficient due to the absence of the need for linearization,
discretization and perturbation.
Numerical simulations are carried out
showing error values, h-curve for q-HAM and the effects of fractional
order on the solution profiles.
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