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

Author(s):

Reza Alizadeh , M. Jahangiri , Ali Ebadian , F. Dastmalchi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:

Reproducing , Shifted Jacobi Polynomials , Two-dimensionalfractional integral equation , Fractional derivative

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:12 Issue: 2, Summer and Autumn 2023
Pages:
325 to 337
https://www.magiran.com/p2583791