[Numerical method for solving double exponential models of corpse cooling in the determination of the time of death].

The objective of the study is to establish a numerical method for solving double exponential models of corpse cooling and to develop on its basis applications designed to determine the time of death (ToD). The search for the radicals of double exponential models of corpse cooling using Newton's method was performed. Mathematical operations were performed using the software Wolfram|Alpha. Calculations were performed using Microsoft Excel applications of the Office 2016 package. The computer program code was compiled in the C# programming language using the Microsoft Visual Studio 2019 application. A numerical method for solving double exponential models of corpse cooling based on Newton's method is proposed. The method is implemented in a series of Warm Bodies application programs designed to determine ToD by measuring rectal or cranioencephalic temperature based on Marshall-Hoare and Henssge equations. The method provides the continuity of raw data and eliminates errors associated with the round off the measured physical values in the equations. The developed programs are recommended to be used in forensic medical practice for the determination of ToD.