DELSOL: a numerical code for the solution of systems of delay-differential equations
Selected papers from the international conference on Numerical solution of Volterra and delay equations
Solving delay differential equations using intervalwise partitioning by Runge—Kutta method
Applied Mathematics and Computation
An algorithm to detect small solutions in linear delay differential equations
Journal of Computational and Applied Mathematics
Variational iteration method for solving a generalized pantograph equation
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
A numerical approach for solving the high-order linear singular differential-difference equations
Computers & Mathematics with Applications
Solution of delay differential equations via a homotopy perturbation method
Mathematical and Computer Modelling: An International Journal
Variable multistep methods for higher-order delay differential equations
Mathematical and Computer Modelling: An International Journal
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In this study, we present a numerical approximation for the solutions of the system of high-order linear retarded and advanced differential equations with variable coefficients under the mixed conditions. This method is based on taking the truncated Bessel expansion of the functions in the retarded and advanced differential equation system. By the aid of the matrix operations and the collocation points, the problem is transformed into a matrix equation with the unknown Bessel coefficients. By solving this matrix equation, the unknown coefficients of the approximate solutions are computed. In addition, examples that illustrate the pertinent features of the method are presented, and the results of this investigation are discussed.