Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method

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Nahdh S. M. Al-Saif
https://orcid.org/0000-0003-3517-2251
Ameen Sh. Ameen
https://orcid.org/0000-0001-8638-3556

Abstract

Volterra Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is considered by combining the radial and polynomial basis functions using collocation points". The main purpose of the radial and polynomial basis functions is to overcome the singularity that could associate with the collocation methods. The obtained interpolation function passes through all Scattered Point in a domain and therefore, the Delta function property is the shape of the functions. The exact solution of selective solutions was compared with the results obtained from the numerical experiments in order to investigate the accuracy and the efficiency of scheme.

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Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method. Baghdad Sci.J [Internet]. 2020 Sep. 1 [cited 2024 Mar. 28];17(3):0849. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3336
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How to Cite

1.
Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method. Baghdad Sci.J [Internet]. 2020 Sep. 1 [cited 2024 Mar. 28];17(3):0849. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3336

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