The smoothed particle hydrodynamics (SPH) and moving particle semi-implicit (MPS) are well-known and efficient mesh-less numerical methods widely used to investigate a wide range of complicated practical engineering problems. Recently. two modified Laplacian models [1. 2] have been proposed by using different efficient mathematical techniques. https://safeersappliancers.shop/product-category/zanussi-zil6470cb-electric-induction-hob/