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Boundary value problems for certain classes of loaded differential equations and solving them by finite difference methods |
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| Authors: | A A Alikhanov A M Berezgov M X Shkhanukov-Lafishev |
| Institution: | (1) Kabardino-Balkar State University, Institute for Problems of Information Science and Regional Management, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, ul. Chernyshevskogo 173, Nal’chik, 360004, Russia |
| Abstract: | Boundary value problems for loaded ordinary and partial differential equations are considered. A priori bounds are obtained for solutions to differential and difference equations. These bounds imply the stability and convergence of difference schemes for the equations under consideration. |
| Keywords: | boundary value problems a priori bound difference scheme stability and convergence of difference schemes loaded differential equation |
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