Odibat, Zaid M. Differential transform method for solving Volterra integral equation with separable kernels. (English) Zbl 1187.45003 Math. Comput. Modelling 48, No. 7-8, 1144-1149 (2008). Summary: Volterra integral equations with separable kerenels are solved using the differential transform method. The approximate solution of this equation is calculated in the form of a series with easily computable terms. Exact solutions of linear and nonlinear integral equations have been investigated and the results illustrate the reliability and the performance of the differential transform method. Cited in 39 Documents MSC: 45D05 Volterra integral equations Keywords:differential transform method; Volterra integral equation PDF BibTeX XML Cite \textit{Z. M. Odibat}, Math. Comput. Modelling 48, No. 7--8, 1144--1149 (2008; Zbl 1187.45003) Full Text: DOI References: [1] Zhou, J. K., Differential Transformation and Its Applications for Electrical Circuits (1986), Huazhong University Press: Huazhong University Press Wuhan, China, (in Chinese) [2] Ayaz, Fatma, Solutions of the system of differential equations by differential transform method, Appl. Math. Comput., 147, 547-567 (2004) · Zbl 1032.35011 [3] Ayaz, Fatma, Application of differential transform method to differential-algebraic equations, Appl. Math. Comput., 152, 649-657 (2004) · Zbl 1077.65088 [4] Arikoglu, A.; Ozkol, I., Solution of boundary value problems for integro-differential equations by using differential transform method, Appl. Math. Comput., 168, 1145-1158 (2005) · Zbl 1090.65145 [5] Bildik, N.; Konuralp, A.; Bek, F.; Kucukarslan, S., Solution of different type of the partial differential equation by differential transform method and Adomian’s decomposition method, Appl. Math. Comput., 127, 551-567 (2006) · Zbl 1088.65085 [6] Arikoglu, A.; Ozkol, I., Solution of difference equations by using differential transform method, Appl. Math. Comput., 173, 1, 126-136 (2006) [7] Arikoglu, A.; Ozkol, I., Solution of differential-difference equations by using differential transform method, Appl. Math. Comput., 181, 1, 153-162 (2006) · Zbl 1148.65310 [8] Hassan, I. H., Comparison differential transformation technique with Adomian decomposition method for linear and nonlinear initial value problems, Chaos Solitons Fractals, 36, 1, 53-65 (2008) · Zbl 1152.65474 [9] Liu, H.; Song, Y., Differential transform method applied to high index differential-algebraic equations, Appl. Math. Comput., 184, 2, 748-753 (2007) · Zbl 1115.65089 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.