Research article

A new fixed point algorithm for finding the solution of a delay differential equation

  • Received: 10 November 2019 Accepted: 10 March 2020 Published: 26 March 2020
  • MSC : 47H09, 47H10, 54H25

  • In this paper, we construct a new iterative algorithm and show that the newly introduced iterative algorithm converges faster than a number of existing iterative algorithms. We present a numerical example followed by graphs to validate our claim. We prove strong and weak convergence results for approximating fixed points of Suzuki generalized nonexpansive mappings. Again we reconfirm our results by example and table. Further, we utilize our proposed algorithm to solve delay differential equation.

    Citation: Chanchal Garodia, Izhar Uddin. A new fixed point algorithm for finding the solution of a delay differential equation[J]. AIMS Mathematics, 2020, 5(4): 3182-3200. doi: 10.3934/math.2020205

    Related Papers:

  • In this paper, we construct a new iterative algorithm and show that the newly introduced iterative algorithm converges faster than a number of existing iterative algorithms. We present a numerical example followed by graphs to validate our claim. We prove strong and weak convergence results for approximating fixed points of Suzuki generalized nonexpansive mappings. Again we reconfirm our results by example and table. Further, we utilize our proposed algorithm to solve delay differential equation.


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