A Numerical Approach for Fredholm Delay Integro Differential Equation

Authors

  • Erkan Cimen Department of Mathematics, Van Yuzuncu Yil University, Van
  • Kubra Enterili Department of Mathematics, Van Yuzuncu Yil University, Van

DOI:

https://doi.org/10.26713/cma.v12i3.1574

Keywords:

Fredholm delay integro differential equation, Finite difference method, Error estimate

Abstract

This paper deal with the initial-value problem for a linear first order Fredholm delay integro differential equation. To solve this problem numerically, a finite difference scheme is presented, which based on the method of integral identities with the use of exponential form basis function. As a result of the error analysis, it is proved that the method is first-order convergent in the discrete maximum norm. Finally, an example is provided that supports the theoretical results.

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References

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Published

30-09-2021
CITATION

How to Cite

Cimen, E., & Enterili, K. (2021). A Numerical Approach for Fredholm Delay Integro Differential Equation. Communications in Mathematics and Applications, 12(3), 619–631. https://doi.org/10.26713/cma.v12i3.1574

Issue

Vol. 12 No. 3 (2021)

Section

Research Article

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