Reproducing kernel method for solving partial two-dimensional nonlinear fractional Volterra integral equation

Document Type : Research Paper

Authors

1 Department of Mathematics, Tabriz Branch, Islamic Azad University, Tehran, Iran

2 Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran

Abstract

This article discusses the replicating kernel interpolation collocation method related to Jacobi polynomials to solve a class of fractional system of equations. The reproducing kernel function that is executed as an (RKM) was first created in the form of Jacobi polynomials. To prevent Schmidt orthogonalization, researchers compare the numerical solutions achieved by varying the parameter value. Through various numerical examples, it is demonstrated that this technique is practical and precise.

Keywords

Main Subjects

References

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History

  • Receive Date: 31 March 2022
  • Revise Date: 28 November 2022
  • Accept Date: 28 November 2022

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