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Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 1-2/2020

16-09-2019 | Original Research

Successive iteration technique for singular nonlinear system with four-point boundary conditions

Authors: Amit K. Barnwal, Priti Pathak

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2020

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Abstract

In this paper, the existence of at least one positive solution of the system of singular differential equations with four-point coupled boundary conditions is discussed. A constructive monotonic iterative technique on the equivalent completely continuous nonlinear operator is used to establish the result. This method produces an approximate solution in the form of series which is very helpful in developing a numerical scheme for the positive solution of the system. It is demonstrated through the examples.
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Metadata
Title
Successive iteration technique for singular nonlinear system with four-point boundary conditions
Authors
Amit K. Barnwal
Priti Pathak
Publication date
16-09-2019
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2020
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-019-01285-8

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