Gökçe Yıldız1, Gültekin Tınaztepe2, *, Mehmet Sezer1
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 973-993, 2020, DOI:10.32604/cmes.2020.09329
Abstract 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… More >
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