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

Abstract

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

Keywords

• Bell polynomials and series,Collocation points and Matrix method,System of delay differential equations

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