TY - JOUR
ID - 12796
TI - Shifted Jacobi collocation method for Volterra-Fredholm integral equation
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Mohamed, Amany Saad
AD - Department of Mathematics,
Faculty of Science, Helwan University, Egypt.
Y1 - 2022
PY - 2022
VL - 10
IS - 2
SP - 408
EP - 418
KW - shifted Jacobi polynomials
KW - Collocation method
KW - Volterra-Fredholm integral equation
KW - convergence and error analysis
DO - 10.22034/cmde.2021.38146.1680
N2 - In this paper, we compute the approximate numerical solution for the Volterra-Fredholm integral equation (VFIE) by using the shifted Jacobi collocation (SJC) method which depends on the operational matrices. Some properties of the shifted Jacobi polynomials are introduced. These properties allow us to transform the VolterraFredholm integral equation into a system of algebraic equations in a nice form with the expansion coefficients of the solution. Also, the convergence and error analysis are studied extensively. Finally, some examples which verify the efficiency of the given method are supplied and compared with other methods.
UR - https://cmde.tabrizu.ac.ir/article_12796.html
L1 - https://cmde.tabrizu.ac.ir/article_12796_69b686eb40e07349c7852844355baaa3.pdf
ER -