NUMERICAL SOLUTION OF VOLTERRA SERIES WITH ERROR ESTIMATION
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Date
2022
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Abstract
In this paper, an important applied problem, namely Volterra series, is investigated. Here, the well-known differential transform (DT) method is extended to solve the multiple non-linear Volterra integral equations which lead to Volterra series. To this end, some basic properties of DT are given, then by proving some theorems, the DT method is extended to solve the mentioned equations. Next, a scheme to estimate the error of solution is proposed and the convergence of the method is proved. Finally, the validity and applicability of the proposed method is illustrated by some examples. © 2022, Institute of Applied Mathematics of Baku State University. All rights reserved.