... in HCRCP-CFF are simplified to an ordinary differential equation system and solved numerically by MATLAB ’s bvp4c solver. The resulting dataset is applied to train a Quantum Neural Network ( QNN ) with a supervised backpropagation strategy incorporating quantum-inspired operators for faster convergence...

... MATLAB’s bvp4c tools. In addition, the magnetic number in this study spans from 0 to 5, volume fraction of nanoparticles varies from 5% to 10%, and Prandtl number for EG as 204. This approach allows us to examine the impact of temperature on heat transfer and distribution within the fluid. Findings...

... are accomplished through the implementation of the bvp4c solver, which leverages the fourth-order three-stage Lobatto IIIa formula as a finite difference scheme. Findings The findings of a comparative investigation carried out under diverse physical limitations demonstrate that ternary HNFs exhibit remarkably...

...). The numerical method bvp4c (built-in package for MATLAB) is used in this study to simulate governing equations using the local non-similarity (LNS) approach up to the second truncation level. Findings Numerous graphs and numerical tables expound on the physical properties of the nanofluid temperature...