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

Autor: Reza Alizadeh, M. Jahangiri, Ali Ebadian, F. Dastmalchi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Mahani Mathematical Research, Vol 12, Iss 2, Pp 325-337 (2023)
Druh dokumentu: article
ISSN: 2251-7952
2645-4505
DOI: 10.22103/jmmr.2022.19237.1228
Popis: 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.
Databáze: Directory of Open Access Journals