{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,27]],"date-time":"2026-01-27T22:35:55Z","timestamp":1769553355901,"version":"3.49.0"},"reference-count":34,"publisher":"Walter de Gruyter GmbH","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We consider difference schemes for the time-fractional diffusion\nequation with variable coefficients and nonlocal boundary conditions\ncontaining real parameters \u03b1, \u03b2 and \u03b3. By the\nmethod of energy inequalities, for the solution of the difference\nproblem, we obtain a priori estimates, which imply the stability and\nconvergence of these difference schemes. The obtained results are\nsupported by the numerical calculations carried out for some test problems.<\/jats:p>","DOI":"10.1515\/cmam-2016-0030","type":"journal-article","created":{"date-parts":[[2016,10,14]],"date-time":"2016-10-14T10:01:06Z","timestamp":1476439266000},"page":"1-16","source":"Crossref","is-referenced-by-count":10,"title":["A Difference Method for Solving the Steklov Nonlocal Boundary Value Problem of Second Kind for the Time-Fractional Diffusion Equation"],"prefix":"10.1515","volume":"17","author":[{"given":"Anatoly A.","family":"Alikhanov","sequence":"first","affiliation":[{"name":"Institute of Applied Mathematics and Automation, Russian Academy of Sciences, ul. Shortanova 89\u2009a, 360000 Nalchik, Russia"}]}],"member":"374","published-online":{"date-parts":[[2016,10,14]]},"reference":[{"key":"2023033115185137254_j_cmam-2016-0030_ref_001_w2aab3b7e1451b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"Alikhanov A. 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