| Abstrakt: |
The paper illustrates the effect of additional terms in diffusion equations, particularly spinodal equations. The spinodal mechanism is described by secondorder diffusion with additional terms of 4th order coupled with a constant. Solutions are seldom found in a simple manner. These materials can yield nanostructures and alloys with advanced properties. In this study, a perturbation for small values of x and t was applied. Similarity variables with x and t are employed along with the separation of variable solutions that can produce an exact series solution. The results illustrate how growth proceeds and the effect of material parameters on growth, along with the important combinations of physical properties. The solutions vary depending on the transcendental equations for the moving boundaries. The rate dependencies changed from the square root of t to the 4th root of t at the small-parameter level. For example, a Cu-Ni alloy has been simulated. This study is primarily hypothetical, and focuses on the analysis of mathematical models. Important findings have recently appeared, showing the applicability of these transformations in the design of energy-storage cells, solar energy, nanocomposites, and other areas. [ABSTRACT FROM AUTHOR] |
