Simple numerical methods of second- and third-order convergence for solving a fully third-order nonlinear boundary value problem

In this paper, we consider a fully third-order nonlinear boundary value problem that is of great interest of many researchers. First, we establish the existence and uniqueness of solution. Next, we propose simple iterative methods on both continuous and discrete levels. We prove that the discrete me...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 87; no. 4; pp. 1479 - 1499
Main Authors:	Dang, Quang A, Dang, Quang Long
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.08.2021 Springer Nature B.V
Subjects:	Accuracy Algebra Algorithms Boundary conditions Boundary value problems Computer Science Iterative methods Methods Numeric Computing Numerical Analysis Numerical integration Numerical methods Original Paper Theory of Computation Existence and uniqueness of solution MSC 34B15 Iterative method Total error MSC 65L10 Third-order nonlinear equation Third-order accuracy
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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