Methods of Solving Partial Differential Equations and Their Application on One Specific Example

Abstract

Elmi Shabani, Sead Resic, Elvir Cajic and Vehbi Ramaj

This scientific paper investigates the application of the Voltaire-Gurset-Riemann method in solving partial differential equations, using a flickering wire as an example. The method proves to be a powerful tool in the analysis of dynamic systems, providing a deeper understanding of flicker behavior in a wire. The developed numerical solutions enable precise modeling and prediction of the behavior of the flickering structure. This study highlights the key steps in applying the method to a concrete example, providing a useful basis for further research in the field of partial differential equations.

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