In this book, we describe the definition and the properties of fractional derivative and fractional integral and the approximation methods of fractional derivative and give the solutions of some time-fractional diffusion equations by the difference method.The main aspects of the analysis of difference equations are stability, convergence and error estimations.The essential difference from the other books is that for some fractional diffusion equations with nonlocal boundary conditions as well as ones with classical boundary conditions, stability and error estimates of the difference equations in uniform and graded grids, respectively, are given and computational examples are given to show the validity of the theory.
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YongChol Son - Teacher of Department of Mathematics, University of Science, Pyongyang, DPR. Korea.GukChol Ryang - Teacher of Department of Mathematics, University of Science, Pyongyang, DPR. Korea.KwanHung Ri - Teacher of Department of Mathematics, University of Science, Pyongyang, DPR. Korea.
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Taschenbuch. Zustand: Neu. Numerical Methods for Fractional Partial Differential Equations | Difference Methods for time fractional diffusion equations | YongChol Son (u. a.) | Taschenbuch | Englisch | 2025 | Scholars' Press | EAN 9786206771579 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. Bestandsnummer des Verkäufers 133498120
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