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Parameter Continuation Method for Solving Nonlinear Fredholm Integral Equations of the Second Kind

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Abstract

In this paper, nonlinear Fredholm integral equation of the second kind is solved by using parameter continuation method. Then, we propose parameter continuation method to solve perturbed nonlinear Fredholm integral equation of the second kind, which appear as an extension of the method of contractive mapping and parameter continuation method for solving nonlinear Fredholm integral equation of the second kind. Illustrative examples are presented to show the effectiveness and convenience of parameter continuation method.

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Acknowledgements

The authors wish to express their sincere thanks to the Editor-in-Chief and reviewers for the insightful comments and useful suggestions that have helped improve the paper significantly.

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Authors and Affiliations

  1. Faculty of Fundamental Science, Namdinh University of Technology Education, Nam Định, Vietnam

    Ngo Thanh Binh

  2. Department of Mathematics, Hanoi Pedagogical University No 2, Phúc Yên, Vietnam

    Khuat Van Ninh

Authors
  1. Ngo Thanh Binh
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  2. Khuat Van Ninh
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Corresponding author

Correspondence to Ngo Thanh Binh.

Additional information

Communicated by Ali Hassan Mohamed Murid.

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. 101.92.2014.51.

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Thanh Binh, N., Van Ninh, K. Parameter Continuation Method for Solving Nonlinear Fredholm Integral Equations of the Second Kind. Bull. Malays. Math. Sci. Soc. 42, 3379–3407 (2019). https://doi.org/10.1007/s40840-018-0700-3

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  • DOI: https://doi.org/10.1007/s40840-018-0700-3

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