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Application of variational iteration method to fractional hyperbolic partial differential equations. (English) Zbl 1190.65185
Summary: The solution of the fractional hyperbolic partial differential equation is obtained by means of the variational iteration method. Our numerical results are compared with those obtained by the modified Gauss elimination method. Our results reveal that the technique introduced here is very effective, convenient, and quite accurate to one-dimensional fractional hyperbolic partial differential equations. Application of variational iteration technique to this problem has shown the rapid convergence of the sequence constructed by this method to the exact solution.
MSC:
65N99Numerical methods for BVP of PDE
35L99Hyperbolic equations and systems
26A33Fractional derivatives and integrals (real functions)