Controlling the physical field using the shape function technique

Abstract A field is described as a region under the influence of some physical force, such electricity, magnetism, or heat. It continuous distribution in space quantities. The characteristics are that values vary continuously between neighboring points. However, because nature field, it possible to approximate interpolation operations reduce cost sampling and simplify calculation. This article introduces modeling parametric intensity fields general form based on shape function technique. Besides node points with sample data, there points, whose accuracy depends significantly type number sampled. Therefore, comparative analysis theoretical functions (TSFs) experimental (ESFs) carried out choose more suitable when interpolating. Specifically, temperature quantity selected apply, analyze, conduct experiments. Theoretical computations, experiments, comparisons results have been obtained for each same model conditions. show ESF has an (error 0.66%) much better than TSF 10.34%). Moreover, surveyed by generalized reduced gradient algorithm allows identifying required parameter presented detail. illustrated calculations control solution both forward reverse problems can be determined very quickly high stability. this technique expected entirely feasible applied thermal processes drying paint technology, kilns, heat dissipation practice.