In this paper, Taylor Wavelets Technique (TWT) is applied to solve delay differential equation (DDE). Convergence and error estimation are defined using TWT and examples were given to support our results in computation of DDE for several different parameters. It is indicated that the suggested method is the suitable one for obtaining solution of a different classes of DDE which have been considered in a strong manner in current areas in several field of science and engineering.
In this article, a mass-spring-damper coupled to a pendulum for a real-time dynamic sub-structural model is developed as a nonlinear system through the Neutral Delay Differential equation using Laplace transform.
In this paper, we have developed a mathematical technique for solving
delay differential equations(DDES) which is based on the Taylor wavelets
with the collocation method. And applying the convergence analysis,
convergence and error analysis of the proposed technique of Taylor
wavelets is worked out and it is shown to converge uniformly on it. We
derive numerical solutions to DDES equations with various parameters
using the Taylor wavelet technique (TWTS). And also the obtained TWTS
based numerical solutions have been compared with the analytical
solutions and existing methods of solutions. The error analysis in the
obtained solutions shows the competence and consistency of the proposed
method. It is predicted that the proposed method can be set up
expansively and appropriate for the solution of a diverse classes of
DDES arising in science and engineering.
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