TY - JOUR T1 - Approximation Solution for Initial Value Problem of Singularly Perturbed Integro-Differential Equation AU - Arslan, Derya PY - 2024 DA - September Y2 - 2024 DO - 10.17798/bitlisfen.1481490 JF - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi PB - Bitlis Eren University WT - DergiPark SN - 2147-3129 SP - 744 EP - 749 VL - 13 IS - 3 LA - en AB - Adomian decomposition method (ADM) is used to approximately solve the initial value problem of the singularly perturbed Volterra and Fredholm differential equation. With this method, the desired accurate results are obtained in only a few terms. The approach is simple and effective. An example application is made to demonstrate the effectiveness of ADM. The result obtained is compared with the exact solution. Convergence analysis of the method was performed. KW - ADM KW - Singularly perturbed equation KW - Volterra-Fredholm integro-differential equation KW - Approximate solution CR - [1] O. 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