Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations

by S. Koksal , V. Lakshmikantham

Book Details

Format Paperback / Softback

Book Series Mathematical Analysis and Applications

ISBN-10 0367395401

ISBN-13 9780367395407

Publisher Taylor & Francis Ltd

Imprint CRC Press

Country of Manufacture GB

Country of Publication GB

Publication Date Sep 11th, 2019

Print length 328 Pages

Weight 453 grams

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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.

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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