TY - EJOU
AU - Yıldız, Gökçe
AU - Tınaztepe, Gültekin
AU - Sezer, Mehmet
TI - Bell Polynomial Approach for the Solutions of Fredholm Integro-Differential Equations with Variable Coefficients
T2 - Computer Modeling in Engineering \& Sciences
PY - 2020
VL - 123
IS - 3
SN - 1526-1506
AB - In this article, we approximate the solution of high order linear Fredholm
integro-differential equations with a variable coefficient under the initial-boundary
conditions by Bell polynomials. Using collocation points and treating the solution as a
linear combination of Bell polynomials, the problem is reduced to linear system of
equations whose unknown variables are Bell coefficients. The solution to this algebraic
system determines the approximate solution. Error estimation of approximate solution is
done. Some examples are provided to illustrate the performance of the method. The numerical
results are compared with the collocation method based on Legendre polynomials and the
other two methods based on Taylor polynomials. It is observed that the method is better than
Legendre collocation method and as accurate as the methods involving Taylor polynomials.
KW - Bell polynomials
KW - collocation points
KW - matrix method
KW - Fredholm integrodifferential equations
DO - 10.32604/cmes.2020.09329