The purpose of this study is to introduce a stochastic computing solver for the multi-pantograph delay differential equation
(MP-DDE). The MP-DDE is not easy to solve due to the singularities and pantograph terms. An advance computational
intelligent paradigm is proposed to solve MP-DDE of the second kind by manipulating the procedures of the artificial
neural networks (ANNs) through the optimization of genetic algorithm (GA) and sequential quadratic programming (SQP),
i.e., ANNs-GA-SQP. A fitness function is constructed based on MP-DDE of second kind and corresponding boundary
conditions. The correctness of the ANNs-GA-SQP is observed by performing the comparison of the proposed and exact
solutions. The values of the absolute error (AE) in good measures are provided to solve the MP-DDE of the second kind.
The efficacy and correctness of the stochastic computing approach to solve three problems of the MP-DDE of second kind
to signify the efficiency, worth, and consistency. Moreover, the statistical soundings are applied to validate the accuracy
and consistency. |