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Journal of Applied Mathematics and Computing

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08-05-2021 | Original Research

Solution of nonlinear boundary value problem by S-iteration

Authors: S. Thenmozhi, M. Marudai

Published in: Journal of Applied Mathematics and Computing | Issue 2/2022

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Abstract

In this paper we import a novel approach to solve the non-linear fourth order boundary value problem. The basic strategy depends on integral operator equation which includes Green’s function and fixed point iteration. To ensure the method, three illustrations were conferred. From the residual or absolute error calculations, it is shown that the S-iteration for contraction operator gives fast convergence than Krasnoselskii–Mann’s iteration.

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Title: Solution of nonlinear boundary value problem by S-iteration
Authors: S. Thenmozhi
M. Marudai
Publication date: 08-05-2021
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 2/2022
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-021-01557-2

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