Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations (Mathematical Analysis and Applications)

by V. Lakshmikantham and S. Koksal

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A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and hyperbolic type. This volume describes that technique, which has played a valuable role in unifying a variety of nonlinear problems, particularly when combined with the quasilinearization method. The first part of this monograph describes the general methodology using the classic approach, while the second part develops the same basic ideas via the variational technique. The text provides a useful and timely reference for applied scientists, engineers and numerical analysts.
  • ISBN10 0367395401
  • ISBN13 9780367395407
  • Publish Date 11 September 2019 (first published 27 February 2003)
  • Publish Status Active
  • Publish Country GB
  • Publisher Taylor & Francis Ltd
  • Imprint CRC Press
  • Format Paperback
  • Pages 328
  • Language English