This article is cited 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

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.

UDC: 519.633

Original article submitted 19/VII/2008
revision submitted – 25/IX/2008

DOI: 10.14498/vsgtu606

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