Stochastic approach for the solution of multi-pantograph differential equation arising in cell-growth model

Iftikhar Ahmad and Areej Mukhtar

Applied Mathematics and Computation, 2015, vol. 261, issue C, 360-372

Abstract: In this paper, a computational technique is introduced for the solution of the first order multi-pantograph differential equation (MPDE) through some well-known optimization algorithms like sequential quadratic programming (SQP) and Active Set Technique (AST). Furthermore, artificial neural network (ANN) is used for networking of the first order multi-pantograph differential equation in used to provide mathematical model based on unsupervised error for equation. Moreover, mathematical modeling has been performed perfectly through multi-runs for simulation to justify the better convergence of the solutions. Also, two examples are presented to exhibit the aptitude of the method SQP and AST. The comparative study will be made with reported techniques such as variational iteration technique (VIT) [6] and collocation based on Bernstein polynomial method (BCM) [6].

Keywords: Fitness function; Log-sigmoid function; Multi-pantograph differential equation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:261:y:2015:i:c:p:360-372

DOI: 10.1016/j.amc.2015.04.001

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