A MODIFIED TAYLOR COLLOCATION METHOD FOR PANTOGRAPH TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH HYBRID PROPORTIONAL AND VARIABLE DELAYS
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Date
2020
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Abstract
In this work, high order pantograph type linear functional differential equations with hybrid proportional and variabledelays is approximately solved by the modified Taylor matrix method. With this method these functional type differentialequations are converted into the matrix form by the Taylor expansion method. The problems are reduced into a set ofalgebraic equations including Taylor coefficients. By determining the coefficients, the approximate solutions arecalculated. Also, an error analysis technique with residual function is developed for the presented method. Someillustrative examples are given to demonstrate the efficiency and applicability of the method. The computer algebraicsystem Maple 15 is used for all calculations and graphs.