An efficient matrix approach for the numerical solutions of electromagnetic wave model based on fractional partial derivative (Q2048414)

This work addresses some examples of the application of expansion respectively to the Hermite and Bernoulli wavelet series for solutions of a kind of a nonhomogeneous fractional partial differential equations, the form of which is motivated by introducing fractional operators in space and time to mimic dispersion of electromagnetic waves in complex media. The step-by-step description includes a specification of the procedure, pseudocode of its implementation and formal estimations of the convergence. There are also some simple illustrating examples of calculations.