SOLVING VOLTERRA-FREDHOLM INTEGRAL EQUATIONS BY LINEAR SPLINE FUNCTION

Autor: SARFRAZ H. SALIM, ROSTAM K. SAEED, KARWAN H.F.JWAMER
Jazyk: angličtina
Rok vydání: 2022
Předmět:
DOI: 10.5281/zenodo.7064456
Popis: This study determines the numerical solution of linear mixedVolterra-Fredholm integral equations of the second kind using the linear splinefunction. The proposed method is based on using the unknown function’s linearspline function at an arbitrary point and converting the Volterra-Fredholmintegral equation into a system of linear equations with regard to the unknownfunction using the integration method. By solving the given system, an approximatesolution can be easily established. This is done with the help of acomputer program that uses the Python code program version 3.9. Furthermore,we demonstrated theoretical results on the method’s uniqueness andconvergence analyses.
Databáze: OpenAIRE