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Zbl 1190.65185
Dal, Fadime
Application of variational iteration method to fractional hyperbolic partial differential equations.
(English)
[J] Math. Probl. Eng. 2009, Article ID 824385, 10 p. (2009). ISSN 1024-123X; ISSN 1563-5147/e

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 2000:
*65N99 Numerical methods for BVP of PDE
35L99 Hyperbolic equations and systems
26A33 Fractional derivatives and integrals (real functions)
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Scientific prize winners of the ICM 2010
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