Difference methods for solving non-local boundary value problems
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 23 (2020) no. 3, pp. 265-287

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This paper deals with the to boundary value problems for pseudoparabolic equations of fractional order with the Bessel operator with variable coefficients with non-local boundary conditions of the integral type and difference methods for their solutions. To solve the considered problems a priori estimates in differential and difference interpretations are obtained, which means the uniqueness and stability of solutions by initial data and the right-hand side, as well as the convergence of the solution of the difference problem to the solution of the corresponding differential problem.
@article{SJVM_2020_23_3_a2,
     author = {M. K. Beshtokov},
     title = {Difference methods for solving non-local boundary value problems},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {265--287},
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2020_23_3_a2/}
}
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M. K. Beshtokov. Difference methods for solving non-local boundary value problems. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 23 (2020) no. 3, pp. 265-287. http://geodesic.mathdoc.fr/item/SJVM_2020_23_3_a2/