Application of Variational Iteration Method to Fractional Hyperbolic Partial Differential Equations | Zendy

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Application of Variational Iteration Method to Fractional Hyperbolic Partial Differential Equations

Author(s) -

Fadime Dal

Publication year - 2009

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2009/824385

Subject(s) - mathematics , hyperbolic partial differential equation , partial differential equation , convergence (economics) , first order partial differential equation , gauss , mathematical analysis , method of characteristics , sequence (biology) , physics , quantum mechanics , biology , economics , genetics , economic growth

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

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