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These methods cannot always guarantee the convergence of approximation series.
HDM provides us with a convenient way to control the convergence of approximation series without adapting h, as in the case of [ 24] which is a fundamental qualitative difference in analysis between HDM and other methods [ 29– 34, 34– 34].
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The convergence of approximations to a weak solution of the original problem is proved.
A numerical algorithm based on Rothe's method is designed and the convergence of approximations towards the solution is shown.
From this theorem, general results on the convergence of approximations and singular perturbations are obtained.
This approximation method is very simple and guarantees the convergence of the approximation.
The convergence of the approximation scheme is proved.
We also discuss the convergence of the approximation method, including the convergence of the objective value, optimal value and optimal solutions.
The convergence of the approximation of the differential operators is evaluated and compared to the data published in the literature.
The most important feature of fractional models is the convergence of the approximation to the classical model.
The procedure ensures the convergence of the approximation, preserves the basic properties and the Lyapunov stability of the solution of the initial problem and reduces the systematic errors.
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