Constructing mathematical models, by interpolation methods, of people’s interest to listening to Quran’s voice or music

الملخص EN

-This paper aims to build mathematical models for the effectiveness and interesting of listening to the Quran's Voice or music on people.

Quran is the religious text of Islam, which Muslims considered to be a revelation from God Lord of the worlds by the Prophet Muhammad (Peace be upon him).

The Quran contains 30 chapters, 114 Surah, 6236 verses.

The sound waves of voice of the Quran has a specific frequency and a specific wavelength, and these waves propagate vibrating fields that affect the brain cells and achieve a rebalancing of them, which gives them great immunity in fighting diseases, malfunction in the work the cells, and the effect of hearing the Qur’an on these cells, re-program them again.

Music is the work of a person and it is an art of sound in time that expresses ideas and emotions.

The experiments were conducted on a random sample that includes large numbers of people of both genders, as it included the opinions of people from (4) years to (48) years old at all academic levels from kindergarten to doctorate, and from all levels of non-academic society and various Muslim nationalities in Kurdistan.

For this purpose, the Interpolation Method that is used is one of the important concepts in applied mathematics, especially in Numerical Analysis, it is the process of deriving a simple function from a set of discrete data points, Interpolation Method has several types.

Two types are used here, the first type used is Newton Forward Interpolation Formula; when the domain points are equally spaced, and the second type is Lagrange Interpolation Formulas; when the domain points are not equally spaced.

Results of both types of analyses of interpolations show that people’s interest to listening Quran's Voice is more effective than people’s interest to listening to music because the Quran's Voice model is a quadratic model, but the music model is a linear model