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Exact Solutions and Conservation Laws of the Joseph-Egri Equation with Power Law Nonlinearity Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Iterative Techniques for Nonlinear Periodic Boundary Value Problems (PBVPs) via Initial Value Problems

Authors : David H. Dezern, Sudhakar G. Pandit

Published in: Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science

Publisher: Springer International Publishing

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Abstract

We develop constructive methods for solving periodic boundary value problems (PBVPs) associated with a nonlinear first order scalar differential equation in a unified setting. The method of generalized quasilinearization which we employ yields rapid convergence of monotone iterates to the solution of the PBVP. The monotone iterates in our approach are solutions of linear initial value problems (IVPs) as opposed to the linear PBVPs which appear in conventional methods. We provide graphical and numerical illustrations of our results.

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previous chapter Downscaling of Regional Climate Scenarios within Agricultural Areas Across Canada with a Multivariate, Multisite Model
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Literature
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Metadata
Title
Iterative Techniques for Nonlinear Periodic Boundary Value Problems (PBVPs) via Initial Value Problems
Authors
David H. Dezern
Sudhakar G. Pandit
Copyright Year
2015
Book
Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science

Print ISBN: 978-3-319-12306-6

Electronic ISBN: 978-3-319-12307-3

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-12307-3_49

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