Mehmet SEZER, Gökçe Yıldız

A Truncated Bell Series Approach to Solve Systems of Generalized Delay Differential Equations with Variable Coefficients

In this study, a matrix method based on collocation points and Bell polynomials are improved toobtain the approximate solutions of systems of high-order generalized delay differential equations with variablecoefficients. The presented technique reduces the solution of the mentioned delay system under the initial conditionsto the solution of a matrix equation with the unknown Bell coefficients. Thereby, the approximate solution isobtained in terms of Bell polynomials. In addition, some examples along with residual error analysis are performedto illustrate the efficiency of the method; the obtained results are scrutinized and interpreted.

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