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This article is cited in 6 scientific papers (total in 6 papers)
Differential Equations
Difference methods of boundary value problems solution for wave equation equipped with fractional time derivative
A. A. Alikhanov Kabardino-Balkar State University
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
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.
Original article submitted 19/VII/2008 revision submitted – 25/IX/2008
Citation:
A. A. Alikhanov, “Difference methods of boundary value problems solution for wave equation equipped with fractional time derivative”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(17) (2008), 13–20
Linking options:
https://www.mathnet.ru/eng/vsgtu606 https://www.mathnet.ru/eng/vsgtu/v117/p13
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