Approximate solutions of the Fourth-Order Eigenvalue Problem

In this paper, the differential transformation (DTM) and Adomian decomposition (ADM) methods are proposed for solving fourth order eigenvalue problem. This problem has nonstrongly regular boundary conditions. been examined p(t) = t, B 0, a 0,01 where ≠ 0 is complex valued The briefly described. An approximate solution obtained by performing seven iterations with method. same number of have made in approximation results both compared each other. These data presented table. ADM DTM solutions shown plotting Figure 1. Here, approaches using two found to be high agreement. Consequently, highly accurate obtained. Such good also revealed that fast, economical motivating. exact can not literature. Therefore, study will give an important idea determine behavior