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Approximate Analytical Solution of the Nonlinear Diffusion Equation for Arbitrary Boundary Conditions

โœ Scribed by J.-Y. Parlange; W. L. Hogarth; M. B. Parlange; R. Haverkamp; D. A. Barry; P. J. Ross; T. S. Steenhuis


Book ID
110236253
Publisher
Springer Netherlands
Year
1998
Tongue
English
Weight
116 KB
Volume
30
Category
Article
ISSN
0169-3913

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Quadratic approximation of solutions for
โœ T. Jankowski ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 386 KB

The quasilinearization method is used for nonlinear ordinary differential equations with nonlinear boundary conditions. Given are sufficient conditions when corresponding monotone sequences converge to the unique solution and this convergence is quadratic. (~ 2004 Elsevier Ltd. All rights reserved.