TY - JOUR T1 - A Novel Numerical Solution Method for Semi-explicit Differential-Algebraic Equations AU - Doğan, Nurettin AU - Sayan, Hasan Hüseyin PY - 2023 DA - June DO - 10.47000/tjmcs.1149107 JF - Turkish Journal of Mathematics and Computer Science JO - TJMCS PB - Matematikçiler Derneği WT - DergiPark SN - 2148-1830 SP - 184 EP - 191 VL - 15 IS - 1 LA - en AB - Generally, DAEs do not have a closed form solution, so these equations have to be solved numerically. In this work, an approximate analytic series solution of the semi-explicit DAEs is obtained by using Laplace Adomian Decomposition Method (LADM). Before directly solving the high-index semi-explicit DAEs, we apply the index reduction method to high-index semi-explicit DAEs since solving high-index semi-explicit DAEs is difficult. Then, we use the LADM obtaining the numerical solution. To show computational capability and efficiency of the LADM for the solution of semi-explicit DAEs, a couple of numerical examples are given. 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