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- Title
DESIGN OF NEURO-SWARMING HEURISTIC SOLVER FOR MULTI-PANTOGRAPH SINGULAR DELAY DIFFERENTIAL EQUATION.
- Authors
SABIR, ZULQURNAIN; BALEANU, DUMITRU; RAJA, MUHAMMAD ASIF ZAHOOR; GUIRAO, JUAN L. G.
- Abstract
This research work is to design a neural-swarming heuristic procedure for numerical investigations of Singular Multi-Pantograph Delay Differential (SMP-DD) equation by applying the function approximation aptitude of Artificial Neural Networks (ANNs) optimized efficient swarming mechanism based on Particle Swarm Optimization (PSO) integrated with convex optimization with Active Set (AS) algorithm for rapid refinements, named as ANN-PSO-AS. A merit function (MF) on mean squared error sense is designed by using the differential ANN models and boundary condition. The optimization of this MF is executed with the global PSO and local search AS approaches. The planned ANN-PSO-AS approach is instigated for three different SMP-DD model-based equations. The assessment with available standard results relieved the effectiveness, robustness and precision that is further authenticated through statistical investigations of Variance Account For, Root Mean Squared Error, Semi-Interquartile Range and Theil's inequality coefficient performances.
- Subjects
PARTICLE swarm optimization; STANDARD deviations; ARTIFICIAL neural networks; ALGORITHMS; HEURISTIC; DELAY differential equations
- Publication
Fractals, 2021, Vol 29, Issue 5, p1
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X21400223