Fractal dynamics and computational analysis of local fractional Poisson equations arising in electrostatics
Jagdev Singh, Hassan Kamil Jassim, Devendra Kumar, Ved Prakash Dubey
Abstract
Abstract In this paper, the local fractional natural decomposition method (LFNDM) is used for solving a local fractional Poisson equation. The local fractional Poisson equation plays a significant role in the study of a potential field due to a fixed electric charge or mass density distribution. Numerical examples with computer simulations are presented in this paper. The obtained results show that LFNDM is effective and convenient for application.
Topics & Concepts
Poisson's equationPoisson distributionFractalDynamics (music)ElectrostaticsElectric fieldCharge densityDistribution (mathematics)Statistical physicsPhysicsMathematical analysisMathematicsQuantum mechanicsAcousticsStatisticsFractional Differential Equations SolutionsAdvanced Control Systems DesignModel Reduction and Neural Networks