Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations

by S. Koksal , V. Lakshmikantham

Book Details

Format Hardback or Cased Book

Book Series Mathematical Analysis and Applications

ISBN-10 0415305284

ISBN-13 9780415305280

Publisher Taylor & Francis Ltd

Imprint CRC Press

Country of Manufacture GB

Country of Publication GB

Publication Date Feb 27th, 2003

Print length 328 Pages

Weight 717 grams

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Ksh 33,300.00

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This volume describes the monotone iterative technique which 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.

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.

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