Sigma&Mu: Journal of Mathematics, Statistics and Data Science
Vol. 4 No. 1 (2026): March

Application of Partial Differential Equation (PDE) and Integral Calculus to Rock Forming Minerals

Ifeanyi, Achuenu (Unknown)
Isah, Lekmang C. (Unknown)
Dibal, Hyeladi (Unknown)
Kumleng, Geoffrey Mica (Unknown)



Article Info

Publish Date
16 Mar 2026

Abstract

Chemical reaction in Magma is very complex, because of several anionic and cationic substitutions of different size and charge in the magma and in this case, complex problems require complex solutions. This research was focused on bridging the gap between Bowen and Goldschmidt concepts concerning the problem of elemental substitution and distribution of chemical elements in rocks throughout the time of crystallization with mathematical foundation under thermodynamic change such as Calculus, comprises differentiation, Integration, Cauchy-Riemann equation, Laplace equation and Power series comprises Euler series and Taylor series were applied to predict major minerals encompass the olivine, pyroxene, amphibole, mica, and feldspar, and their associated rocks encompass granite, basalt, andesite, and trachyte and were applied to resolve the problems of rock forming minerals in magma. Findings have shown that, in mathematical context, Bowen’s and Goldschmidt rules were mathematically connected using the Mathematical formulae as; , and Finally the “mathematical connection” between Bowen’s and Goldschmidt concepts was used in this research for a concise explanation of rock forming minerals from the beginning to the end of crystallization and would help the ‘beginners’ especially students of Earth sciences such as Geology, Mineralogy, Petrology and other chemical sciences such as Chemistry.

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Journal Info

Abbrev

sigmamu

Publisher

Subject

Education Mathematics

Description

Sigma&Mu: Journal of Mathematics, Statistics and Data Science is an international peer-reviewed journal that publishes original and high-quality research papers in all areas of mathematics, statistics, and data sciences. As an important academic exchange platform, scientists and researchers can know ...