Abstract
The variational iteration method was applied to the time fractional telegraph equation and some variational iteration formulae were suggested in (Sevimlican, 2010). Those formulae are improved by Laplace transform from which the approximate solutions of higher accuracies can be obtained.
Highlights
According to the technique of determination of the Lagrange multipliers [4, 5], firstly, construct a correctional functional as un+1 (x, t)
Sevimlican [1] considered the application of the variational iteration method [2, 3] to find approximate solutions of space and time fractional telegraph equations
The VIM became an efficient analytical tool in nonlinear science since it was proposed and the method was often used in fractional differential equations
Summary
Comment on ‘‘An Approximation to Solution of Space and Time Fractional Telegraph Equations by He’s Variational Iteration Method’’. The variational iteration method was applied to the time fractional telegraph equation and some variational iteration formulae were suggested in (Sevimlican, 2010). Those formulae are improved by Laplace transform from which the approximate solutions of higher accuracies can be obtained. Sevimlican [1] considered the application of the variational iteration method [2, 3] to find approximate solutions of space and time fractional telegraph equations. Assuming the Lagrange multiplier λ(s, x) = λ(x − s), take the Laplace transform to both sides of (2).
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