Geodesic
Difference methods of boundary value problems solution for wave equation equipped with fractional time derivative
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 13-20

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Boundary value problems for wave equation with fractional time derivative are studied. А priori estimates for solution of boundary value problems of the first and third kind in differential form are obtained. Difference schemes of the second order approximation are constructed for the mentioned problems. A priori estimate in difference form is obtained for difference scheme approximating the boundary value problem of the first kind.
Keywords: boundary-value problem, prior estimate, difference scheme, firmness and convergence difference scheme, regularized fractional derivative. 
@article{VSGTU_2008_2_a1,
     author = {A. A. Alikhanov},
     title = {Difference methods of boundary value problems solution for wave equation equipped with fractional time derivative},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {13--20},
     publisher = {mathdoc},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a1/}
}
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A. A. Alikhanov. Difference methods of boundary value problems solution for wave equation equipped with fractional time derivative. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 13-20. http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a1/