Akyüz-Daşcioğlu, Ayşegül; Sezer, Mehmet A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations in the most general form. (English) Zbl 1118.65129 Int. J. Comput. Math. 84, No. 4, 527-539 (2007). Summary: A Taylor method is developed for finding the approximate solution of high-order linear Fredholm integro-differential equations in the most general form under the mixed conditions. The problem is defined on the interval \([-1, 1]\) and the solution is obtained in terms of Taylor polynomials about the origin. Transforming the interval \([a, b]\) to the interval \([-1, 1]\), a problem defined on \([a, b]\) can also be solved using this method. Numerical examples are presented to illustrate the accuracy of the method. Cited in 12 Documents MSC: 65R20 Numerical methods for integral equations 45J05 Integro-ordinary differential equations Keywords:Fredholm integro-differential equations; Taylor approximation; numerical examples PDF BibTeX XML Cite \textit{A. Akyüz-Daşcioğlu} and \textit{M. Sezer}, Int. J. Comput. Math. 84, No. 4, 527--539 (2007; Zbl 1118.65129) Full Text: DOI OpenURL References: [1] DOI: 10.1080/0020739940250501 · Zbl 0823.45005 [2] DOI: 10.1080/0020739960270606 · Zbl 0887.65084 [3] Sezer M., International Journal of Mathematical Education for Science and Technology 27 pp 607– · Zbl 0887.34012 [4] DOI: 10.1080/002073900287273 · Zbl 1018.65152 [5] DOI: 10.1016/S0096-3003(99)00059-4 · Zbl 1023.65147 [6] DOI: 10.1080/00207169908804871 · Zbl 0947.65142 [7] DOI: 10.1080/00207160212116 · Zbl 1006.65144 [8] Maleknejad K., Applied Mathematics and Computation 145 pp 641– · Zbl 1032.65144 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.