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Solution of nonlinear boundary value problem by S-iteration

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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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Acknowledgements

The authors would like to thank the anonymous referee for the careful checking in the whole manuscript and for the needful comments that help us to improve the paper.

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  1. Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamilnadu, 620 024, India

    S. Thenmozhi & M. Marudai

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  1. S. Thenmozhi
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  2. M. Marudai
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Correspondence to S. Thenmozhi.

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Thenmozhi, S., Marudai, M. Solution of nonlinear boundary value problem by S-iteration. J. Appl. Math. Comput. 68, 1047–1068 (2022). https://doi.org/10.1007/s12190-021-01557-2

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  • DOI: https://doi.org/10.1007/s12190-021-01557-2

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